Abstract

In the Standard Solar Model a central role in the nucleosynthesis is played by reactions of the kind , which enter the proton-proton chains. These reactions can also be studied through the inverse photodisintegration reaction. One option is to use the Lorentz Integral Transform approach, which transforms the continuum problem into a bound state-like one. A way to check the reliability of such methods is a direct calculation, for example using the Kohn Variational Principle to obtain the scattering wave function and then directly calculate the response function of the reaction.

Highlights

  • These reactions can be studied through the inverse photodisintegration reaction

  • We want to check if the resolution of the Lorentz integral transform (LIT) calculation can be made sufficiently high in order to allow a stable inversion of the transform at very low energies: near the reaction threshold, the precision of the LIT calculation may be not sufficient because a high density of LIT states is needed, since the width ae-mail: s.deflorian.2@unitn.it

  • Extending the basis leads to a larger number of Hamiltonian eigenstates in general increases the density of such states. It has been observed in recent calculations using a HH basis for the 4He isoscalar monopole resonance [1] that the density of LIT states is not sufficiently high below the three-body breakup threshold to allow to determine the very small width of the resonance (Γexp = 270 keV)

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Summary

Introduction

These reactions can be studied through the inverse photodisintegration reaction. Our goal is to study nuclear reactions of the kind close to the threshold with charged fragments X1 and X2. The Lorentz integral transform (LIT) method is an ab initio method that can be used to study inclusive reactions.

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