Fully damped Mott oscillations in sub-barrier elastic scattering of identical heavy ions and the nuclear interaction

M S Hussein,L F Canto,W Mittig

doi:10.1088/1742-6596/590/1/012009

Abstract

We investigate the possible disappearance of Mott oscillations in the scattering of bosonic nuclei at sub-barrier energies. This effect is universal and happens at a critical value of the Sommerfeld parameter. It is also found that the inclusion of the short-range nuclear interaction has a profound influence on this phenomenon. Thus we suggest that the study of this lack of Mott oscillation, which we call, "transverse isotropy" is a potentially useful mean to study the nuclear interaction.

Highlights

It is quite well known that the scattering amplitude describing the scattering of particles with a long-range interaction, such as the Coulomb one, composed of a slowly varying amplitude and a possibly rapidly varying phase
The resulting, Mott, cross section is oscillatory and can be used to assess the importance of other weaker interactions which may be present. This idea has been explored by several authors in the case of heavy-ion scattering, where the long range interaction is the Coulomb one and the weaker interactions, can be long-ranged, such as multipole polarizability [1, 2], relativistic effects [5], color van der Waals force [3, 4], or shortranged, such as the nuclear interaction [5, 6]. In this contribution we demonstrate that the Mott cross section in the absence of the weaker forces can become structureless at a certain value of the Sommerfeld parameter [7]
In this work, we summarized our research on the phenomenon of Transverse Isotropy, predicted to occur in the low energy s√cattering of identical charged particles

Summary

Introduction

It is quite well known that the scattering amplitude describing the scattering of particles with a long-range interaction, such as the Coulomb one, composed of a slowly varying amplitude and a possibly rapidly varying phase. The resulting, Mott, cross section is oscillatory and can be used to assess the importance of other weaker interactions which may be present This idea has been explored by several authors in the case of heavy-ion scattering, where the long range interaction is the Coulomb one and the weaker interactions, can be long-ranged, such as multipole polarizability [1, 2], relativistic effects [5], color van der Waals force [3, 4], or shortranged, such as the nuclear interaction [5, 6]. We give the details of our recent investigation [8, 9]

Mott oscillations and their disappearance

Conclusions