Toward a self-consistent and unitary reaction network for big-bang nucleosynthesis

¹ Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
² Department of Physics, University of California, San Diego, La Jolla, California 92093, USA
³ Nuclear Data Center, Japan Atomic Energy Agency, Tokai-mura Naka-gun, Ibaraki 319-1195, Japan

^a e-mail: mparis@lanl.gov

Published online: 1 April 2014

Abstract

Unitarity, the mathematical expression of the conservation of probability in multichannel reactions, is an essential ingredient in the development of accurate nuclear reaction networks appropriate for nucleosynthesis in a variety of environments. We describe our ongoing program to develop a “unitary reaction network” for the big-bang nucleosynthesis environment and look at an example of the need and power of unitary parametrizations of nuclear scattering and reaction data. Recent attention has been focused on the possible role of the ⁹B compound nuclear system in the resonant destruction of ⁷Li during primordial nucleosynthesis. We have studied reactions in the ⁹B compound system with a multichannel, two-body unitary R-matrix code (EDA) using the known elastic and reaction data, in a four-channel treatment. The data include elastic ⁶Li(³He,³He)⁶Li differential cross sections from 0.7 to 2.0 MeV, integrated reaction cross sections for energies from 0.7 to 5.0 MeV for ⁶Li(³He,p)⁸Be* and from 0.4 to 5.0 MeV for the ⁶Li(³He,d)⁷Be reaction. Capture data have been added to the previous analysis with integrated cross section measurements from 0.7 to 0.825 MeV for ⁶Li(³He,γ)⁹B. The resulting resonance parameters are compared with tabulated values from TUNL Nuclear Data Group analyses. Previously unidentified resonances are noted and the relevance of this analysis and a unitary reaction network for big-bang nucleosynthesis are emphasized.