Radiativeα-capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions

Abstract

We report the first calculations of cross sections for the radiative capture reactions 3 H(α, γ) 7 Li and 3 He(α, γ) 7 Be below 2 MeV which use wave functions derived from realistic nucleon-nucleon interactions by the variational Monte Carlo technique. After examining several small corrections to the dominant E1 operator, we find energy dependences for the low-energy S-factors which agree reasonably with experimental measurements. There is no contradiction with the previous theoretical understanding of these processes, but the zero-energy derivative of the 3 H(α, γ) 7 Li S-factor is smaller than in most models. While this method can in principle predict cross section normalizations, the normalizations of our results are mostly too low.

Determination of the3He+α→7Be asymptotic normalization coefficients, the nuclear vertex constants, and their application for the extrapolation of theTursunmahatov1, Yarmukhamedov2 2012Phys. Rev. C182161View full textAdd to dashboardCite

“…In Ref. [19] the bound-state wave functions, which correspond to the calculated value of the binding energy for 7 Be(g.s.) in the (α + 3 He) channel differing niticeably from the experimental 045807-7 TABLE II.…”

“…The theoretical calculations of S 34 (0) performed with different methods also show considerable spread [15,[17][18][19][20][21][22][23][24], and the result depends on the specific model used. Nevertheless, in most cases theoretical calculations also show practically the same energy dependence for the calculated S 34 (E), but they have different normalizations, exceeding noticeably the absolute experimental errors of the modern experimental data [9][10][11][12][13][14].…”

“…Regarding the available values of these ANCs obtained in Refs. [16,19,22], they depend noticeably on the specific model used (see Sec. II A).…”

Microscopic Nuclear Structure and Reaction Calculations in the FMD Approach

“…Consistent ab initio calculations starting from realistic interactions have not been possible up to now. First attempts using Variational Monte-Carlo [10] and the No-Core Shell Model [11] only calculated the asymptotic normalization coefficients from the bound state wave functions. …”

Looking the Universe from Deep Underground

“…Looking the Universe from Deep Underground Davide Trezzi (for the LUNA collaboration) Comparison between S-factor theoretical calculation [22] and experimental data [23].…”