Determination of the 3He+alpha\to 7Be asymp. normalization coefficients (nucl. vertex constants) and their application for extrapolation of the 3He(alpha,gamma)7Be astroph. S-factors to the solar energy region

Abstract

A new analysis of the modern precise measured astrophysical $S$ factors for the direct capture ${}^{3}He(\alpha ,\gamma {)}^7\mathrm{Be}$ reaction [B.S. Nara Singh {\it et al.}, Phys.Rev.Lett. {\bf 93}, 262503 (2004); D. Bemmerer {\it et al.}, Phys.Rev.Lett. {\bf 97}, 122502 (2006); F.Confortola {\it et al.}, Phys.Rev.C {\bf 75}, 065803 (2007), T.A.D.Brown {\it et al.}, Phys.Rev. C {\bf 76}, 055801 (2007) and A Di Leva, {\it et al.},Phys.Rev.Lett. {\bf 102}, 232502 (2009)] populating to the ground and first excited states of ${}^7\mathrm{Be}$ is carried out based on the modified two - body potential approach. New estimates are obtained for the $^{\glqq}$indirectly determined\grqq\, values of the asymptotic normalization constants (the nuclear vertex constants) for ${}^3\mathrm{He}+\alpha \to {}^7\mathrm{Be}$(g.s.) and ${}^3\mathrm{He}+\alpha \to {}^7\mathrm{Be}$(0.429 MeV) as well as the astrophysical $S$ factors $S_{34}(E)$ at E$\le$ 90 keV, including $E$=0. The values of asymptotic normalization constants have been used for getting information about the $\alpha$-particle spectroscopic factors for the mirror (${}^7\mathrm{Li}{}^7\mathrm{Be}$)-pair.

24 pages, 5 figures, 2 tables

References in corpus (10)

• Solar fusion cross sections II: the pp chain and CNO cycles
• Activation measurement of the 3He(alpha,gamma)7Be cross section at low energy
• Astrophysical S-factor of the 3He(alpha,gamma)7Be reaction measured at low energy via prompt and delayed gamma detection
• Microscopic calculation of the 3He(alpha,gamma)7Be and 3H(alpha,gamma)7Li capture cross sections using realistic interactions
• 3He(alpha,gamma)7Be cross section at low energies
• The 3He + 4He --> 7Be Astrophysical S-factor
• Evaluation of Modern 3He(alpha,gamma)7Be Data
• Low-energy ${}^3$He($\alpha$,$\alpha$)${}^3$He elastic scattering and the ${}^3$He($\alpha$,$\gamma$)${}^7$Be reaction
• Connection between effective-range expansion and nuclear vertex constant or asymptotic normalization coefficient
• Asymptotic normalization coefficients (nuclear vertex constants) for $p{+}^{7}Be{\to }^{8}B$ and the direct ${}^{7}Be(p,\gamma {)}^{8}B$ astrophysical S-factors at solar energies

Cited by in corpus (5)

• ${}^7$Be and ${}^7$Li nuclei within the no-core shell model with continuum
• Algorithm for the asymptotic nuclear coefficients calculations using phase shift data for charged particles scattering
• Low-energy bound states, resonances, and scattering of light ions
• Astrophysical ${}^3\mathrm{He}(\alpha ,\gamma {)}^7\mathrm{Be}$ and ${}^3\mathrm{H}(\alpha ,\gamma {)}^7\mathrm{Li}$ direct capture reactions in a potential model approach
• New results for the astrophysical S-factor and reaction rate of radiative 3He4He capture