Prediction of reaction cross section forp-Cr

M Hemalatha,S Kailas,N Maladkar,A Andreev,S Ershov,A Vdovin,V Sargsyan,N Arsenyev

doi:10.1051/epjconf/201610708006

Abstract

Nuclear matter densities and charge radii for even 46−62 Cr isotopes have been calculated using relativistic Hartree-Bogoliubov model based on density-dependent meson-exchange relativistic energy density functional. The calculated root-mean-square charge radii agree well with corresponding data and the kink at N =28 is reproduced by the calculation. The calculated target matter densities are folded with the Jeukenne, Lejeune, and Mahaux-Bruyeres inter-nucleon interaction to obtain semi-microscopic optical model potentials for incident protons of 65 MeV on even 46−62 Cr isotopes. The elastic scattering differential cross sections calculated using the proton optical potentials reproduce corresponding data for stable isotopes. The optical model potential parameters required for prediction of differential and total reaction cross sections for unstable even isotopes have been obtained.

Highlights

The structure and reactions of nuclei close to drip lines and their role in the understanding of nuclear ground state properties has been a topic of experimental and theoretical interest
The optical model potential parameters required for prediction of differential and total reaction cross sections for unstable even isotopes have been obtained
The elastic scattering calculation using folding optical model has been known to be successful when radial matter densities are obtained from well-established structure models and microscopic, spherical nucleon-nucleus optical model potentials based on different approximations or effective forces are robust [5, 6]

Summary

Introduction

The structure and reactions of nuclei close to drip lines and their role in the understanding of nuclear ground state properties has been a topic of experimental and theoretical interest. The total reaction cross section (σR) is an important observable and plays a crucial role in both optical and statistical model calculations. For the predictions to hold, there must be no or few adjustable parameters in the model Such an analysis would be able to predict the reaction observables successfully. Nuclear ground-state properties have been calculated for even 46−62Cr isotopes. The σR has been predicted by studying the p-Cr elastic scattering using folding optical model. The results of calculation of cross section observables for (p , p) scattering at 65 MeV off even Cr isotopes are given in the same section

Relativistic Hartree-Bogoliubov model

Ground state properties

Semi-microscopic Optical Model

Cross sections

Findings

Summary