Dispersion (asymptotic) theory of charged-particle transfer reactions and nuclear astrophysics

R Yarmukhamedov,S.B Igamov,K.I Tursunmakhatov,C Spitaleri,L Lamia,M La Cognata,S Romano,R.G Pizzone

doi:10.1051/epjconf/202022701019

R Yarmukhamedov, S.B Igamov + Show 6 more

Open Access

https://doi.org/10.1051/epjconf/202022701019

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Abstract

A new asymptotic theory is proposed for the peripheral transfer A(x,y)Breaction at low energies within the three-body (A,aand y) model by com bining the dispersion theory and DWBA, where x= y +a, B= A + a,andais a transferred particle. The results of the analysis of the differential cross sections of the proton transfer9Be(1°B,9Be)1°B reaction at the1°B projectile energy of 100 MeV populating the ground and excited states of the residual nucleus are presented. New estimates and their uncertainties are obtained for values of the asymptotic normalization coefficients for9Be +p ^1°B and for the astrophys- ical S factors at stellar energy of the radiative capture9Be(ρ, γ)1°B reaction.

Highlights

In the last two decades, a number of methods of analysis of experimental data for different nuclear processes were proposed to obtain information on the “indirect determined”(“experimental”) values of the specific asymptotic normalization coefficients with the aim of their application to nuclear astrophysics
Within the three-body Schrödinger formalism combined with the dispersion theory, a new asymptotic theory is proposed for the peripheral charged-particle transfer A(x, y)B reaction at above-barrier energies, where x=(y + a) and B=(A + a), and a is the transferred particle
There, the contribution of the three-body (A, a and y) Coulomb dynamics of the transfer mechanism to the reaction amplitude is taken into account in a correct manner, to that as it is done in the dispersion theory

Summary

Introduction

In the last two decades, a number of methods of analysis of experimental data for different nuclear processes were proposed to obtain information on the “indirect determined”(“experimental”) values of the specific asymptotic normalization coefficients with the aim of their application to nuclear astrophysics (see, for example, Refs. [1,2,3] and the available references therein). A new asymptotical theory is proposed for the peripheral transfer reaction (1) in the framework of a three-body (A, a and y) model.

Results

Conclusion