Delta Excitation in the Compressed Finite Nucleus &amp;lt;sup&amp;gt;90&amp;lt;/sup&amp;gt;Zr

Mohammed Hassen Eid Abu-Sei’Leek

doi:10.4236/jamp.2016.43064

Abstract

Constrained spherical Hartree-Fock (CSHF) calculations under radial compression are presented for 90Zr in a model space consisting of nine major oscillator shells. An effective baryon-baryon interaction which includes the Δ resonances is used. The nucleon-nucleon (N-N) interaction is Reid Soft Core (RSC) potential. The sensitivity of the results to the choice model space is examined. It is found that the nuclear system becomes more compressible when the model space is increased. The radial density and the number of Δs are decreased by increasing model space. The results suggest that the behavior of single particle energies is independent of the model space.

Highlights

The investigation of the properties for finite nucleus in its excitation state is very useful for understanding the products in heavy collision, barrier heights or saddle point configuration in nuclear fission
The excitation of ∆-degree freedom in 90Zr nucleus in (CSHF) was investigated [9], where the ground state properties of 90Zr nucleus were examined in small model space that consisted of six major oscillator shells for N and six orbits for ∆
More detailed results for 90Zr nucleus are presented in order to examine its properties under static compression in larger model space consisting of nine major oscillator shells for nucleons and ten orbits for ∆s making a total of 47 baryons orbits

Summary

Introduction

The investigation of the properties for finite nucleus in its excitation state is very useful for understanding the products in heavy collision, barrier heights or saddle point configuration in nuclear fission. One of the recent developments in the study of relativistic heavy-ion collisions is the identification of ∆-rich nuclear systems. When the nuclear system is compressed by heavy-ion collision experiments, the ∆s may constitute up to 10% of nuclear constituents [6]-[8]. The excitation of ∆-degree freedom in 90Zr nucleus in (CSHF) was investigated [9], where the ground state properties of 90Zr nucleus were examined in small model space that consisted of six major oscillator shells for N and six orbits for ∆. The goal of this work is to reexamine these properties in large model space that consists of nine oscillator shells for N and ten orbits for ∆

Objectives

Results

Conclusion