Study of A = 100–150 superdeformed mass region by using two-parameterformula

Vidya Devi,Jagjit Singh Matharu

doi:10.3906/fiz-1802-8

Abstract

Empirical formulae of rotational spectra consisting two parameters, such as single-term energy formula, E = aJb for spin J , and ab formula, were used to study the different features of superdeformed band in A = 100-150 mass region nuclei. The nuclear kinematic and dynamic moment of inertia for the ground-state rotational bands were calculated for this purpose and both showed gradual rise with rotational frequency. The study of ΔI = 2 staggering effects in the γ-ray energies, where the two sequences J = 4i; 4i + 1 and J = 4i + 2, (i = 0; 1; ...) are bifurcated, was also done. We also calculated the variation of the gamma ray energies from a smooth reference using the fourth derivative of the gamma ray energies at a given spin. The excellent agreement between the observed and calculated transition energies are in good support of the two-parameter formula.

Highlights

A superdeformed nucleus is a nucleus that is predicted to occur at specific magic numbers and at deformations corresponding to the integer ratios of the axes about 2:1:1
Identical bands in superdeformed nuclei Over the past few years, there has been considerable interest in the study of SD rotational bands in consecutive even and odd mass nuclei having almost identical gamma transition energies [1]. More than thirty such SD rotational bands have been discovered in A = 150–190 mass region [16]
The above analysis is conducted to understand the implication of identical bands

Summary

Introduction

A superdeformed nucleus is a nucleus that is predicted to occur at specific magic numbers and at deformations corresponding to the integer ratios of the axes about 2:1:1. Superdeformed structures have been found mostly in nuclei of the A = 150 and 240 mass regions, i.e. in the fission isomers low-spin states of elements in the actinide and lanthanide series. It has been discovered in other mass regions, such as A = 60, 80, 130, and 190. A general understanding in the properties of superdeformed nuclei has been attained, but still there are open problems that need to be further studied. We used empirical formula of rotational spectra consisting two parameters, i.e. single-term energy formula, E = aJb , and ab formula, to study the different features of superdeformed band in A = 100–150 mass region

Discussion

Conclusion