ORIGIN OF THE SOLAR SYSTEM AND ITS
ELEMENTS
O. K. MANUEL, J. T. LEE, D. E. RAGLAND, J. M. D. MACELROY*,
BIN LI** AND W. K. BROWN***
Nuclear Chemistry, University of Missouri, Rolla, MO 65401 (USA)
Correspondence author’s e-mail address: om@umr.edu
(Journal of Radioanalytical
and Nuclear Chemistry, in press)
Formation of the Solar System from heterogeneous debris of a
supernova (SN) that exploded 5 billion years ago was recorded as a)
inter-linked chemical and isotopic heterogeneities in meteorites, b) higher
levels of extinct nuclides in grains that trapped larger isotopic anomalies, c)
the physical properties of grains mentioned in part b, and d) patterns of
isotopic anomalies in meteorites, in the solar-wind, and in solar flare
particles. The Sun formed on the SN
core, and planets formed in a rotationally-supported, equatorial disk of SN
debris. Interiors of the Sun and the
inner planets accreted first in a central, Fe-rich region surrounding the SN
core. These were layered as condensate
from other parts of the SN fell toward the condensing Sun. Elements in outer SN layers formed
low-density, giant Jovian planets. Intra-solar diffusion enriches hydrogen and
lighter isotopes of individual elements at the Sun’s surface.
*Chemical Engineering, Univ. College
Dublin, Belfield, Dublin 4 (Ireland)
**Lunar & Planetary Lab, University of
Arizona, Tucson, AZ 85721 (USA)
*** 5179 Eastshore Drive, Lake Almanor, CA
96137 (USA)
Introduction
This paper was
presented at the Conference on Presolar
Grains in St. Louis, MO (USA) on October 31, 1996 and at the International Conference on Isotopes in the
Solar System in Ahmedabad (India) on November 13, 1997. Parts were also presented as papers #25.03
and #27.02 at the 189th and 191st Meeting
of the American Astronomical Society on January 13, 1997 (Toronto, Canada)
and January 7, 1998 (Washington, D.C., USA).
This is a summary of recent data
that compelled us to consider local element synthesis and formation of
the Solar System from heterogeneous supernova debris, rather than remote
synthesis and collection of our elements from vast regions of space. A few earlier observations and conclusions
that are consistent with local element synthesis are noted below.
REYNOLDS1
discovery of radiogenic 129Xe in isotopically anomalous meteoritic
Xe would be expected, since extinct 129I and heterogeneities in the
SN debris would diminish with time. SN
debris is a natural site for a) heterogeneous accretion of cores of the inner
planets2-4 and the Sun5,6 in a central Fe-rich region of
the nebula and b) production of IAB iron meteorites and their inclusions by
nebular, rather than igneous, processes7,8.
Over 40 years
ago, BURBIDGE et al.9 noted that “...the back sides of the abundance
peaks of the r-process isotopes might suggest that the conditions obtaining in
a single supernova were responsible for their synthesis.” After considering astronomical implications,
they concluded that “It does not appear unreasonable from this point of view,
therefore, that a single supernova has been responsible for all of the material
built by the r-process currently in the solar system” (BURBIDGE et al.9 ,
p. 639).
Four years later,
FOWLER et al.10 suggested local element synthesis, induced by the
bombardment of planetesimals with charged particles from the condensing Sun, to
explain the abundances of deuterium, lithium, beryllium, and boron in the Solar
System. In addition, they noted that
several short-lived nuclides, like 129I, 107Pd and 26Al,
might have been produced locally by this irradiation of planetesimals.
Inter-linkage of
chemical and isotopic heterogeneities provided the first clue, over 20 years
ago, that not only r-products but the entire Solar System came from a single
supernova11,12. Elemental
abundances of He and Ne in meteorites were shown to be linked with specific
isotopes of heavy noble gases, as expected of stellar debris. Noble gases are ideally suited to preserve
the primordial linkage of elemental and isotopic heterogeneities before
condensation: The inertness of these
elements protected them from the chemical reactions that most elements
underwent as they mixed and reacted to form condensable compounds.
Exotic material from a multiplicity of
stellar sources is currently the accepted13-16 explanation for isotopic
anomalies seen in tiny grains of meteorites.
In the following sections, we review observations which suggest that
these grains are instead early condensate of a local supernova17
which exploded in the manner shown in Fig. 1.
It has been suggested that such asymmetric supernovae explosions may
produce bipolar nebulae18 and allow SN debris in the
equatorial plane to retain heterogeneities of the parent star17.
We will show
below how this explains inter-linked chemical heterogeneities, short-lived
radioactivities, physical aspects of the matrix grains, and isotopic anomaly
patterns in meteorites, in solar flare particles and in the solar-wind. In 1980, LAVRUKHINA19 also noted
that formation of the Solar System from debris of one supernova might explain
planetary scale variations in the isotopic compositions of some elements.
Short-Lived Radioactivities
Decay products of extinct 41Ca, 26Al, 53Mn,
107Pd, 182Hf, 129I, 244Pu, or 146Sm
might be used to date the supernova event shown in Fig. 1. Of these, 244Pu is best suited
because a) decay products of 244Pu occur in U,Th-Pb dated samples,
i.e., the 244Pu-136Xe and the U,Th-Pb chronometers can be linked, and b) 244Pu is an r-product that could
not be made after the supernova by irradiation from the condensing Sun10. The volatile nature of the fission product, 136Xe,
is the major disadvantage.
KURODA20
predicted the occurrence of 244Pu in nature, ROWE and KURODA21
discovered its decay products, and KURODA and MYERS22 used 244Pu
to show that the supernova event shown in Fig. 1 occurred about 5 billion years
ago. According to their calculations,
the first carbonaceous chondrites started to retain fissiogenic 136Xe
about 100 My later. Their results are
shown in Fig. 2, where data from the Kapoeta achondrite are used to link the 244Pu-136Xe
and the U,Th-Pb chronometers23.
Significant
mixing may occur over planetary distances in 100 My, although this is short for
galactic mixing10. Grains
that formed in this time might incorporate products from different SN regions,
before 244Pu-rich minerals start to retain gaseous 136Xe
--- 100 My after the SN event. If
mixing occurred, larger isotopic anomalies would be expected in grains that
formed first and trapped even shorter-lived radioactivities, like 26Al.
However, early
results suggested meteorites trapped rather uniform initial levels of extinct
radioactivities ≈ 10-4 those of neighboring nuclides, in spite
of a wide range in half-lives. FOWLER13
and WASSERBURG14 thus concluded that mixing 0.0001 parts exotic nucleogenetic material with
0.9999 parts normal solar system
material could explain the decay products of extinct nuclides and isotopic
anomalies found in meteorites.
Recent measurements
have revealed levels of extinct radioactivities >>10-4 that of
neighboring nuclei. For example,
radiogenic 26Mg from the decay of 26Al corresponds to
initial values of 26Al/27Al up to 0.06 in graphite
from the Murchison meteorite24. Five SiC grains of that meteorite, labelled
X grains25, formed when 0.10 < 26Al/27Al
< 0.60. These trapped very
large isotopic excesses of 12C, 15N, 28Si, 49Ti
and 44Ca. The authors25 note that different zones of supernovae can
“...account for almost all the isotopic compositions observed in grains X....”
(AMARI et al.25, p. L46).
These results25
confirm that high levels of radioactive 26Al are associated with
large isotopic anomalies, as expected of early condensate of supernova
debris. They support neither the
suggestion of a “canonical” value26
of 26Al/27Al ≈ 5 x 10-5 nor reports that
short-lived radioactivities and isotopic anomalies in the solar system can be
explained by the addition of 10-4 parts exotic nucleogenetic material. These X grains also have the physical
properties expected for early condensate of supernova debris.
KURODA and MYERS27
recently reviewed data on extinct 26Al. They note that, like radioactivity trapped in fresh atmospheric
fallout particles from nuclear weapons testing, the 26Al/27Al
ratios25 in the X grains of SiC decrease with particle size. They calculate 26Al/27Al
= 1.15 for the production ratio at the surface of an exploding supernova and
conclude that X grains of SiC formed soon after a supernova. The 26Al-26Mg
chronometer in Fig. 3 indicates that “X” grains formed within 1-3 My of the
supernova. Early nucleation would form
larger grains in local condensation, but this trend is unexpected if
interstellar grains28 brought this exotic nucleogenetic material into the solar system from multiple
stellar sources14-17.
More recently,
AMARI et al.29 note that isotopic anomaly patterns of titanium
change systematically with grain size in eight other SiC grains from Murchison,
samples KJA-KJH. They note that this
might be explained by “... assuming that SiC grains with different sizes come
from AGB stars with different metallicities ...” (AMARI et al.29, p.
23). Even if grain size were preserved
as a marker of the star-of-origin as interstellar grains traversed space, local
condensation of heterogeneous supernova debris is a more simple, direct
explanation for the observations.
The time scale
shown in Fig. 3 indicates rapid condensation of solids following the supernova
event. New measurements suggest an even
earlier separation30,31 of supernova products and a single stellar
source for short-lived nuclides79.
Isotope ratios of r-products in Xe, Kr and Te in diamonds of the Allende
meteorite suggest that chemical separation30,31 of these elements
occurred within 104 seconds of the supernova event, even before the
decay of precursor nuclei like 131I, 83Br, 125Sb,
etc.
Inter-Linked Chemical and Isotopic
Heterogeneities
Abundances of ordinary, planetary He and Ne in meteorites
correlate with isotopically exotic
components of Ar, Kr and Xe and extrapolate to isotopically normal Ar, Kr and Xe at the intercept32,
where [He] ≈ [Ne] ≈ 0. This was the first clue that the solar
system formed out of material with the inter-linked chemical and isotopic heterogeneities
expected in supernova debris11,12.
One example of these correlations is shown in Fig. 4.
The 136Xe/132Xe
isotope ratios are shown in the top section of Fig. 4, and the elemental ratios
of 4He/132Xe and 20Ne/132Xe are
shown in the bottom. Similar
correlations could be shown between elemental abundances of ordinary He and Ne
with each exotic isotope ratio of Ar,
Kr and Xe. This inter-linkage of
ordinary He and Ne with exotic Ar, Kr
and Xe is a common property of meteoritic noble gases32.
The correlations
shown in Fig. 4, illustrate the difficulty in explaining isotopic anomalies by
the addition of exotic nucleogenetic material13,14. If exotic
Ar, Kr and Xe were alien nucleosynthesis products, for example, why do they
accompany isotopically normal He and
Ne? Why do the correlations extrapolate
to isotopically normal Ar, Kr and Xe
as elemental abundances of isotopically normal
He and Ne approach zero?
These
correlations led to the suggestion11,12 that the solar system
condensed from heterogeneous SN debris: Normal
He and Ne and exotic Ar, Kr and Xe
came from outer layers that were rich in low-Z elements; normal Ar, Kr and Xe came from the interior where fusion reactions
had depleted He, Ne and other low-Z elements.
In the astrophysics community, it was suggested28 that
interstellar grains may have carried normal
He and Ne and exotic Ar, Kr and Xe
into the solar system. Fig. 1 of this
manuscript and Fig. 4 of CLAYTON28 offer alternative explanations
for the observed association of normal
He and Ne with exotic Ar, Kr and Xe.
Recently PEPIN et
al.34 suggested that the exotic
heavy noble gas component in Allende accounts for 8% of the 136Xe in
the Sun. If so, the correlations of He
and Ne with 136Xe (See Fig. 4) suggest that large amounts of He and
Ne in the Sun are from this exotic
noble gas component.
CLAYTON et al.35
provide additional evidence for large scale, inter-linked isotopic and
elemental heterogeneities in the solar system.
They found that fractional enrichments of an exotic oxygen component (monoisotopic 16O) can be used
to group meteorites and planets into at least six categories. Objects of one category cannot be derived by
fractionation or differentiation of material in another category. On the basis of exotic oxygen, material in the earth and its moon is like that in
stony-iron meteorites, achondrites and enstatite chondrites, but isotopically
distinct from material in carbonaceous and ordinary chondrites or
urelites. Heterogeneous supernova
debris (Fig. 1) offers a natural site for radial sorting of exotic oxygen, characteristic of the
region where the material formed.
The occurrence of
terrestrial-type Xe and its host minerals also provides a record of coupled
chemical and isotopic heterogeneities related to radial distance from the
sun. REYNOLDS1 found that
the isotopic composition of terrestrial Xe is distinct from that in
chondrites. Terrestrial-type Xe occurs
in iron sulfide of diverse meteorites36, in atmospheres of Earth and
Mars37, and in the Sun38, as expected if this were the
dominant form of Xe in the inner Fe,S-rich region of the early solar nebula36.
The matrix
composition of carrier grains of exotic
xenon and other noble gases also demonstrates linkage of chemical and isotopic heterogeneities
at the source. Diamonds trapped Xe
enriched in r- and p-products; SiC trapped Xe enriched in s-products. This coupling of chemical and isotopic
heterogeneities so thoroughly permeated the solar nebula that measurements of
the isotopic compositions of xenon and other noble gases in acid residues have
recently been used to determine the abundances of diamonds and SiC grains in
seven different types of chondrites39.
LEE et al.40
cite other indications that chemical and isotopic heterogeneities were coupled
throughout the early solar nebula40. A related discovery is the radial heterogeneity of 53Mn
(t1/2 = 3.7 My), as evidenced by the correlation of excess 53Cr
with heliocentric distance for material from the Earth-Moon, Mars, ordinary
chondrites and eucrites41.
Formation of the
solar system from supernova debris (See Fig. 1) predicts both inter-linked
chemical and isotopic heterogeneities in the early solar nebula11-12,19,32,35-37,39,40
and a dependence of composition on radial distance from the Sun2-4,11-12,19,32,35,36,40,41.
Isotopic Anomaly Patterns
BEGEMANN42
offers compelling evidence that isotopic anomalies are unmixed products of the
same nuclear processes that made our elements.
Allende’s inclusion EK1-4-1 has excess (+) r- and p-products in Ba, Nd
and Sm; Murchison’s SiC has deficits (-) of these same isotopes. These mirrorimage isotopic anomaly patterns
are shown in Fig. 5. Smaller anomalies
in Allende’s EK1-4-1 are multiplied by a factor of ≈102 to
depict the mirror-image anomaly pattern.
Although “quantitatively, the (anti)-match of the anomalies pattern is
not perfect for all elements”, he concludes that it “---appears too good to be
entirely serendipitous---” (BEGEMANN42, p. 524). This pattern is expected in poorly mixed
products of the reactions that made our elements, but it is unlikely that exotic material, added to an otherwise
homogeneous presolar nebula, would mimic the nucleosynthesis products required
from one r-process and one
s-process, so that the sum yields the isotopic composition of normal, solar-system material.
The sun accounts
for 99% of the mass of the solar system.
Isotopic compositions of solar elements provide additional evidence for large
reservoirs of isotopically diverse material at the birth of the solar
system. In general, planetary-type
noble gases are enriched in the heavy isotopes relative to gases in the solar
wind. KAISER38 showed, for
example, that isotopic ratios of solar-type Xe can be reproduced by a mass
fractionation enrichment of 4.1% per atomic mass unit in lighter mass isotopes
of terrestrial Xe. KURODA and MANUEL43
noted a correlated fractionation effect in neon. However, early efforts to understand other
solar isotopic ratios were frustrated by apparently large fractionation effects
in the isotopes of solar Xe, Ne and He, accompanied by little or no
fractionation effects across the isotopes of solar Ar and Kr.
Following the discovery of nucleogenetic isotopic anomalies
in many elements, and linkage of primordial He and Ne with isotopically
anomalous Ar, Kr and Xe in diverse meteorites32, MANUEL and HWAUNG44
suggested that noble gases in the Sun are a mixture of the nucleogenetic
components seen in planetary material.
They noted a systematic mass fractionation pattern across isotopes of
all five noble gases in the solar wind, assuming that terrestrial Xe is
dominant in the bulk sun38, that He, Ne and Ar there have the
isotopic compositions of noble gases that accompany anomalous Xe in meteorites33,
and that solar Kr is a mix of these two components.
Their results,
shown in Fig. 6, suggest that intrasolar diffusion enriches lighter isotopes of
He, Ne, Ar, Kr and Xe at the solar surface by about 200%, 30%, 9%, 6% and 4%
per amu, respectively44.
Light isotopes are less enriched in solar flares45, as
expected if energetic events disrupt diffusive fractionation in the Sun46. Recent observations47,48 show 1H/4He
in solar flares to be ≈10 times less than that in the solar photosphere.
If plasma
diffusion49 produced the fractionation pattern shown in Fig. 6, the
Sun’s interior may be Fe-rich44 like the inner planets. When this was first suggested44,
diffusional fractionation was considered relatively unimportant in
the Sun and solar-type stars50-52.
However, we will show in the next section that these views are
changing. It has been noted that
heterogeneous accretion of the Sun and the four inner planets, beginning with
core formation in a central Fe-rich region of the nebula53, may have
assisted diffusive fractionation in stratification of the Sun.
Recently, PEPIN
et al.34 also attempted to resolve the isotopic composition of solar
Xe in terms of different isotopic components observed in planetary
material. They concluded that the exotic Xe shown in Fig. 4 accounts for
about 8% of the 136Xe in the solar wind.
We agree that the
primordial noble gas component with normal
He and Ne and exotic Ar, Kr and Xe
may constitute a significant part of the Sun’s noble gases34,44. However, since “... the composition of
condensed bits of interstellar matter would favor easily condensed elements
over the noble gases” (ARNETT54, p. 2) , this conclusion is
incompatible with prevailing opinion that interstellar grains28
brought the exotic Ar, Kr and Xe into
the solar system from a multiplicity of stellar sources13-16.
Intrasolar Diffusion: Does it Operate in
the Sun?
Several recent articles55-57 stress the importance of
diffusional fractionation in the Sun.
More than a decade ago, MACELROY
and MANUEL58 attempted to evaluate the contribution of intrasolar
diffusion to isotopic anomalies in the solar wind. We will briefly review their conclusions, some of the more recent
work on diffusion in the Sun, and provide a few comments on issues that must be
addressed for a quantitative understanding of intrasolar diffusion.
Possible
fractionation effects for primordial 4He/H mixtures are shown in
Fig. 7 as a function of the effective depth, d, of the perfectly mixed outer layers of the sun. The value of d shown there is linearly proportional to the total mass within
this mixed zone58.
For the current
solar surface ratio59,60 of 4He/H = 0.04, it is found
that values of d required to satisfy
a primordial 4He/H ratio of 0.09-0.15, the currently accepted range
for cosmic abundances, are ~ 43 - 65. This value of d corresponds to a temperature of about 106 K for the
transition region between the diffusion limited zone and the perfectly mixed
zone.
One typical
example of the possible influence of intrasolar diffusion on an isotopic ratio
of xenon, 124Xe/130Xe, is shown in Fig. 8. From the results shown there, it is
concluded that the enrichment of light isotopes of xenon is accurately
predicted for intrasolar diffusion conditions very similar to those suggested
by Fig. 7: A diffusion limited/perfectly mixed transition region corresponding
to a temperature of approximately 106 K in the standard solar model
and a Xe ionization state of +15. This
result, coupled with additional observations from numerical data reported
earlier58, provides independent support for the existence of
significant diffusional fractionation occurring in the sun.
Further support
for the influence of intrasolar diffusion and its relative importance in
modelling the solar interior is seen in the very recent detailed numerical
analyses conducted by a number of independent research groups.
(1) DAR and SHAVIV55 have
demonstrated that reliable prediction of the observed flux of solar neutrinos
requires consideration of the effects of diffusion within the sun. When the standard solar model is modified to
include diffusion, they find that in one of the models investigated the
observed solar neutrino flux is only 50% higher than the predicted value. By comparison, the observed neutrino flux is
100%-150% higher than the predicted value when intrasolar diffusion is assumed
to be insignificant.
(2) GUENTHER et
al.56 have shown that observed solar oscillations can be predicted
with reasonable accuracy only when intrasolar diffusion is incorporated into
the standard solar model.
(3) BAHCALL et al.57 show that sound
speeds for solar models that include diffusion agree with helioseismological
measurements for almost the entire sun.
They also note that helioseismological measurements effectively rule out
solar models that do not include diffusion, or which assume that the interior
of the sun is significantly mixed.
We have already
noted that another observation, namely noble gas isotope ratios in the solar
wind, also requires consideration of intrasolar diffusion. We are encouraged that these disparate
fields of research may be gradually approaching a common consensus. There are a few remaining issues that need
to be addressed.
An accurate
hydrodynamic analysis of the interfacial region between the radiative zone and
the convection zone within the sun is one major problem on the computational
side which has yet to be properly addressed.
This could help to eliminate a number of the apparent
inconsistencies in the predictions in all these areas of research. One particular inconsistency concerns the
locations of the diffusion limited transition region and the base of the
convection zone. These need not necessarily
occur at the same point within the sun.
The mixing length
theories employed in modelling of intrasolar diffusion are known to
inadequately describe convection in the outer layers of the sun61. Advanced computational fluid mechanics has,
in fact, shown that mixing within the convection zone is not as complete as
implied in the classical mixing length approach. Detailed hydrodynamic modelling of the solar interior, coupled
with consideration of elemental and isotopic diffusion, will probably be
required to provide the agreement sought between theory and observations.
On the experimental
side, there is a need for measurements on the isotopic compositions of
refractory elements in the solar wind62 and for an understanding of
the origin of the Fractionation part of FUN anomalies63 in
meteorites. We suspect that both may be
the result of stellar diffusion. However, two fractionation processes, one
acting on elements in the Sun and the other on elements present at the birth of
the solar system, can be confusing.
There were, for example, early indications of mass fractionation in the isotopes
of Ne and Xe in the solar wind43, but not for the intermediate
elements, Ar and Kr. Recognition of a
common fractionation effect44 across the isotopes of solar Ar and Kr
awaited discovery33 of a primordial, exotic noble gas component in which Ar and Kr are enriched in the
heavier isotopes.
Recently, the
isotopic compositions of Mg have been reported in the solar wind64 and
in solar flare particles65.
These results are from direct measurements of particles coming from the Sun,
and error limits are much larger than those on elements that have accumulated
in lunar soil over geologic time periods.
In spite of large uncertainties, systematic trends in the data suggest
possible interference from MgH+ which increases with particle energy46. Natural isotopic abundances cause this
interference to be greatest at m/q = 25.
The 24Mg/26Mg ratio is less effected. Shifts in
the best values for 3He/4He, 20Ne/22Ne,
26Mg/24Mg and 36Ar/38Ar in solar
flares and in the solar wind match46 the pattern expected if solar
flares are disrupting diffusional processes that enrich lighter nuclei at the
solar surface. However, for magnesium
isotope ratios these shifts are within experimental uncertainties reported on
the measurements.
Finally, it should
be noted that an experiment already completed may provide important information
on isotopic anomalies in the solar system and the role of intrasolar diffusion
in producing anomalous isotope ratios in the solar wind. Isotopic analyses of elements in Jupiter
with the mass spectrometer on the Galileo probe may shed new insight on this
matter. To date, only the isotope
ratios of H, He and C have been reported66 but we expect to have
information on isotope ratios of Ne, Ar, Kr and Xe in Jupiter within the
current calendar year.
From Supernovae to Planetary Systems
Until recently, formation of a planetary system from supernova
debris was considered highly unlikely.
However, recent astronomical observations on supernova remnants may be
changing this view.
The Crab nebula,
the remnant of a 1054 AD supernova, has long served as a model for explosions
of supernovae, especially Type II SNs.
Progress in this area of study is limited by the infrequency of such
events. However, about 10 years ago, on
February 23, 1987, Ian Shelton discovered a supernova explosion in the Large
Megellanic Cloud. This is now known as
Supernova 1987A or SN 1987A. GOLDSMITH67
tells how this discovery has changed our understanding of supernovae. For example, the parent star was not a red
giant star, as expected, but clearly blue.
It was the first stellar explosion observed in the Local Group of
galaxies since 1885, and the first one bright enough to be seen with the naked
eye since Kepler’s supernova of 1604.
The suspected pulsar in SN 1987A is rotating much more rapidly than
expected of a newborn neutron star, suggesting the possibility of rapid
rotation in the parent star.
CHEVALIER68,69
reviewed observations on SN 1987A, five and ten years after the explosion. In the first68, he noted that the
light emitting region is a ring, rather than a shell. In the second, he reports three rings of light. The smaller ring is in the central plane of
the supernova, with larger rings of light above and below that. He also notes little or no radiation from
any central compact object associated with either SN 1987A or SN 1993J. In both cases, radiation from the central
compact object is estimated to be < 0.01 of radiation from the Crab Nebula
pulsar.
Another recent
astronomical observation on supernova remnants has been even more
surprising. The first planetary system
discovered70 and confirmed71 beyond our solar system was
that orbiting the collapsed core of a supernova, the millisecond pulsar, PSR
1257+12.
There had been
earlier reports that planets might be orbiting other pulsars. These were not confirmed, but they
stimulated thinking about possible mechanisms for producing a planetary system
from supernova debris. LIN et al.72
suggest that such a planetary system could be produced from a
rotationally-supported disk of material that may fall back after a supernova
explosion. The planetary system that
WOLSZCZAN71 confirmed around PSR1257+12 consists of three, Earth
like planets within 0.5 AU of the central pulsar. In the Appendix, we show that such a planetary system could be
produced around PSR1257+12 from a rotationally-supported, disk of material
(0.068 Msun mass) that falls back after the SN explosion.
The computed mass
distributions, with and without shear, are shown in Fig. 9, together with the
positions and relative masses of the planets WOLSZCZAN71 reports
orbiting PSR1257+12.
From these
results, we conclude that the formation of a planetary system from supernova
debris is clearly possible. In earlier
sections of this paper, we have summarized observations which suggest that the
solar system was in fact produced in this manner.
Conclusions
The record of inter-linked
chemical and isotopic heterogeneities and short-lived radioactivities that has
been preserved in meteorites and in the planetary system is not explained by
the addition of small amounts of exotic
material. These are products of the
supernova event, outlined in Fig. 1, that gave birth to the solar system 5,000
My ago.
This paper is dedicated to the memory of
Dr. Dwarka Das Sabu.
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Figure Captions
Fig. 1. The solar system formed directly from
heterogeneous debris of a spinning supernova17 that exploded axially
to produce a bipolar nebula18.
Fig. 2. Carbonaceous chondrites start to retain
gaseous fission products of 244Pu about 100 My after the SN event22,23.
Fig. 3. Radioactive 26Al and large
isotopic anomalies were trapped in graphite24 and in X grains of
silicon carbide25 from the Murchison meteorite within a few My of
the SN event27.
Fig. 4. Isotopic ratios of Xe correlate with
elemental abundances of He and Ne in mineral separates of the Allende meteorite33. “Normal” Xe is at the intercept where [He] =
[Ne] = 0.
Fig. 5. Mirror image (+ & -) isotopic anomalies
that BEGEMANN42 noted in elements with 7 stable isotopes like Ba, Nd
or Sm.
Fig. 6. Isotopic ratios of solar-wind-implanted
gases44 show a smooth, mass-dependent fractionation pattern, as
expected if intrasolar diffusion enriches lighter elements and lighter isotopes
of individual elements at the solar surface.
Mass fractionation is shown relative to 20Ne.
Fig. 7. Predicted primordial values of the 4He/H
ratio are shown as a function of the effective mixing depth, d, for outer layers of the Sun. The lines marked a, b, and c correspond to
predictions for current solar surface 4He/H values of 0.06, 0.04 and
0.02, respectively.
Fig. 8. Predicted solar wind values of the 124Xe/130Xe
ratio (relative to the primordial value) are shown as a function of ionization
state in the transition region between the diffusion-limited zone and the
perfectly-mixed zone within the Sun.
The curves from left to right correspond to 4He/H surface
number ratios of 0.05, 0.03 and 0.01 for a primordial solar ratio of 4He/H
= 0.15.
Fig. 9. Computed mass distributions, with and
without shear, for fallback material72 rotating in the nebular disk,
with Wolszczan’s three planets71 superimposed.
Fig. 10. A differential cylinder of radius, r1,
thickness dr1, and height, h, inscribed in a sphere of radius RFB,
and rotating with an angular velocity w.
Fig. 11. The mass distribution in the planetary disk,
with and without shear, are quite similar.