Core-polarization effect in longitudinal electron scattering form factors of 65Cu nucleus

Adie D Salman

doi:10.30723/ijp.v14i31.168

Abstract

Inelastic longitudinal electron scattering form factors to 2+ and 4+ states in 65Cu nucleus has been calculated in the (2p3/2 1f 5/2 2p1/2) shell model space with the F5PVH effective interaction. The harmonic oscillator potential has been applied to calculate the wave functions of radial single-particle matrix elements. Two shell model codes, CP and NUSHELL are used to obtain results. The form factor of inelastic electron scattering to 1/21−, 1/22−, 3/22−, 3/23−, 5/21−, 5/22− and 7/2- states and finding the transition probabilities B (C2) (in units of e2 fm4) for these transitions and B (C4) (in units of e2 fm8) for the transition 7/2-, and comparing them with experimental data. Both the form factors and reduced transition probabilities with core-polarization effects gave a reasonable description of the experimental data.

Highlights

The structure of the nucleus can be described in nuclear physics by calculating some of the basic amount such as nuclear size, different nuclear densities and the associated charge form factor
For the present investigation the 65Cu nucleus, it is possible to carry out shell-model calculations for this nucleus in f5p shell model space
The effects of higher configurations outside the fp-shell model space, which are called CP effects are taken into account through a microscopic theory to calculate the C2 and C4 form factors

Summary

Introduction

The structure of the nucleus can be described in nuclear physics by calculating some of the basic amount such as nuclear size, different nuclear densities and the associated charge form factor. For fixed energy loss to the target, one can differ the threemomentum transfer q⃑ and map out the Fourier transforms of the static and transition densities. With electron scattering it can immediately relate the cross section to the transition matrix elements of the local charge and current density operators and this directly relate to the structure of the target itself [3]. Another important aspect is that the scattering is only sensitive to charge and can only probe the distribution of protons in the nucleus from the simple, inelastic scattering used to probe the interior structure of protons and neutrons [4]

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Conclusion