Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Astrophysical $^{3}{\rm He}(\alpha, \gamma)^{7}{\rm Be}$ and $^{3}{\rm
  H}(\alpha,\gamma)^{7}{\rm Li}$ direct capture reactions in a potential model
  approach   The astrophysical $^{3}{\rm He}(\alpha, \gamma)^{7}{\rm Be}$ and $^{3}{\rm
H}(\alpha, \gamma)^{7}{\rm Li}$ direct capture processes are studied in the
framework of the two-body model with the potentials of a simple Gaussian form,
which describe correctly the phase-shifts in the s-, p-, d-, and f-waves, as
well as the binding energy and the asymptotic normalization constant of the
ground $p_{3/2}$ and the first excited $p_{1/2}$ bound states. It is shown that
the E1-transition from the initial s-wave to the final p-waves is strongly
dominant in both capture reactions. On this basis the s-wave potential
parameters are adjusted to reproduce the new data of the LUNA collaboration
around 100 keV and the newest data at the Gamov peak estimated with the help of
the observed neutrino fluxes from the Sun, $S_{34}$(23$^{+6}_{-5}$
keV)=0.548$\pm$0.054 keV b for the astrophysical S-factor of the capture
process $^{3}{\rm He}(\alpha, \gamma)^{7}{\rm Be}$. The resulting model
describes well the astrophysical S-factor in low-energy Big Bang
nucleosynthesis region of 180-400 keV, however has a tendency to underestimate
the data above 0.5 MeV. Two-body potentials, adjusted on the properties of the
$^7$Be nucleus, $^3{\rm He}+\alpha$ elastic scattering data and the
astrophysical S-factor of the $^{3}{\rm He}(\alpha, \gamma)^{7}{\rm Be}$ direct
capture reaction, are able to reproduce the properties of the $^7$Li nucleus,
the binding energies of the ground 3/2$^-$ and first excited 1/2$^-$ states,
and phase shifts of the $^3 {\rm H}+\alpha$ elastic scattering in partial
waves. Most importantly, these potential models can successfully describe both
absolute value and energy dependence of the existing experimental data for the
mirror astrophysical $^{3}{\rm H}(\alpha, \gamma)^{7}{\rm Li}$ capture reaction
without any additional adjustment of the parameters.

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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex