Semimicroscopic Dispersive Analysis of Nuclear-Nuclear Collisions on the Basis of Folding Potential

Abdolmajid Izadpanah,Marzieh Yousefi

doi:10.4236/jmp.2014.512113

Abstract

A semimicroscopic analysis of a set of experimental data of elastic α + 12C scattering was performed at several laboratory energies. The Woods-Saxon parameters were adjusted to obtain the best χ2 fit to the scattering data. The energy systematics of the positions of Airy minima was constructed, and it was shown that their positions depend linearly on the inverse center of mass energy. The parameters of the model potential have been determined unambiguously. It has been shown that the energy dependence of the volume integrals satisfies the dispersion relation and agrees well with the results obtained within a phenomenological analysis. Also, it has been shown that the found positions of the Airy minima satisfy the rule of the quadratical dependence of the position of the Airy minima on the reduced mass of the colliding nuclei.

Highlights

The essence of the potential approach, that has been applied to describe elastic scattering and direct reaction in nucleus-nucleus collisions at energies in the range extending up to 100 MeV per nucleon, is that the system of two interacting nuclei at the given energy in the elastic channel can be described by a model-dependent wave function that is found by solving the single-particle Schrödinger equation with an effective potential [1]
The dynamical polarization potential is constructed on the basis of physically justified combinations of the volume and surface forms whose geometric parameters are assumed to be independent of energy
A semimicroscopic analysis of a set of experimental data of elastic α + 12C scattering was performed at several laboratory energies

Summary

Introduction

The essence of the potential approach, that has been applied to describe elastic scattering and direct reaction in nucleus-nucleus collisions at energies in the range extending up to 100 MeV per nucleon, is that the system of two interacting nuclei at the given energy in the elastic channel can be described by a model-dependent wave function that is found by solving the single-particle Schrödinger equation with an effective potential [1]. Complex-valued and energy-dependent and can be represented as the sum of two components: static component or “mean-field potential” that represents the interaction of nuclei in their ground That is the matrix element of the real effective nucleon-nucleon interaction, is the ground states wave functions of colliding nuclei

Results

Conclusion