Abstract

In this work we obtain the astrophysical reaction and production rates for the two-particle radiative capture processes α + n + n → 6 He + γ and α + α + n → 9 Be + γ . The hyperspherical adiabatic expansion method is used. The four-body recombination reactions α + α + n + n → 6 He + α, α + n + n + n → 6 He + n, α + α + n + n → 9 Be + n and α + α + α + n → 9 Be + α are also investigated.

Highlights

  • Once the hydrogen fuel in a star is exhausted, the production of energy and the temperature drop

  • Since the triple alpha reaction is too slow at the temperature-density conditions in the hot bubble, the reactions mentioned above play a crucial role

  • Let us assume some stellar environment characterized by a temperature T, a mass density ρ and the mass abundances Xi of their different constituents

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Summary

Introduction

Once the hydrogen fuel in a star is exhausted, the production of energy and the temperature drop. Different scenarios are possible such as the so called “hot bubbles” In these environments the rapid neutron capture nucleosynthesis can happen [1,2]. Among these processes, two very relevant ones are the formation of 9Be through the reaction α + α + n → 9Be + γ [3,4] and the capture of two neutrons by an α-particle leading to 6He+γ [4,5]. Together with the radiative capture reactions there are other reactions that in a high temperature neutron rich environment could play a relevant role. In particular the four-body recombination processes α + α + n + n → 6He + α, α + n + n + n → 6He + n, α + α + n + n → 9Be + n and α + α + α + n → 9Be + α

Theoretical description
Theory
Two-particle Radiative Capture
Four-Body Recombination
Summary and conclusions

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