Asymptotic normalization coefficients (nuclear vertex constants) for $p+^7Be\to ^8B$ and the direct $^7Be(p,γ)^8B$ astrophysical S-factors at solar energies

Details Asymptotic normalization coefficients (nuclear vertex constants) for $p+^7Be\to ^8B$ and the direct $^7Be(p,γ)^8B$ astrophysical S-factors at solar energies Asymptotic normalization coefficients (nuclear vertex constants) for $p+^7Be\to ^8B$ and the direct $^7Be(p,γ)^8B$ astrophysical S-factors at solar energies

2008-03-27

arxiv.org/abs/0803.3860v2

Phys.Atom.Nucl.71:1740-1755,2008

Physics

Nuclear Physics

Nuclear Theory

27 pages, 6 figures

Scientific paper

10.1134/S1063778808100098

A new analysis of the precise experimental astrophysical S-factors for the direct capture $^7Be(p,\gamma)$ $^8B$ reaction [A.J.Junghans et al.Phys.Rev. C 68 (2003) 065803 and L.T. Baby et al. Phys.Rev. C 67 (2003) 065805] is carried out based on the modified two - body potential approach in which the direct astrophysical S-factor, $ {\rm S_{17}(E)}$, is expressed in terms of the asymptotic normalization constants for $p+^7Be\to ^8B$ and two additional conditions are involved to verify the peripheral character of the reaction under consideration. The Woods-Saxon potential form is used for the bound ($p+^7Be$)- state wave function and for the $p^7Be$- scattering wave function. New estimates are obtained for the $^{\glqq}$indirectly measured\grqq values of the asymptotic normalization constants (the nuclear vertex constants) for the $p+^7Be\to ^8B$ and $S_{17}(E)$ at E$\le$ 115 keV, including $E$=0. These values of $S_{17}(E)$ and asymptotic normalization constants have been used for getting information about the $^{\glqq}$indirectly measured\grqq values of the $s$ wave average scattering length and the $p$ wave effective range parameters for $p^7Be$- scattering.

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