The effect of short range correlation on the inelastic C2 and C4 form factors of 18O nucleus

Abdullah S. Mdekil

doi:10.30723/ijp.v14i31.170

Abstract

The effect of short range correlations on the inelastic Coulomb form factors for excited +2 states (1.982, 3.919, 5.250 and 8.210MeV) and +4 states (3.553, 7.114, 8.960 and 10.310 MeV) in O18 is analyzed. This effect (which depends on the correlation parameterβ) is inserted into the ground state charge density distribution through the Jastrow type correlation function. The single particle harmonic oscillator wave function is used with an oscillator size parameter .b The parameters β and b are adjusted for each excited state separately so as to reproduce the experimental root mean square charge radius of .18O The nucleusO18 is considered as an inert core of C12 with two protons and four neutrons distributed over 212521211sdp−− active orbits. The total transition charge density comes from both the model space and core polarization transition charge densities. The realistic effective interaction of Reehal–Wildenthal (REWIL) is used for this model space. It is found that the introduction of the effect of short range correlations is necessary for obtaining a remarkable improvement for the calculated inelastic Coulomb form factors and considered as an essential for explanation the data amazingly throughout the whole range of considered momentum transfer.

Highlights

Electron scattering process can be explained according to the first Born approximation as an exchange of virtual photon, carrying a momentum, between the electron and the nucleus
The effect of the Short Range Correlations (SRC) is incorporated into the ground state charge density distribution through the Jastrow type correlation function [5]
The charge density distribution calculated without the effect of the SRC depends only on one free parameter, where b is chosen in such away so as to reproduce the experimental rms charge radius of 18O

Summary

Introduction

Electron scattering process can be explained according to the first Born approximation as an exchange of virtual photon, carrying a momentum, between the electron and the nucleus. The first is the longitudinal or Coulomb scattering in which the electron interacts with the charge distribution of the nucleus where the interaction is considered as an exchange of a virtual photon carries a zero angular momentum along the direction of the momentum transfer(q). This process gives all information about the nuclear charge distribution. The effect of SRC on the inelastic Coulomb form factors for excited 2+ (1.982, 3.919, 5.250 and 8.210 MeV) and 4+ states (3.553, 7.114, 8.960 and 10.310 MeV) in 18O nucleus is studied This effect is introduced in the ground state charge density distribution through the Jastrow type correlation function [5]. The interaction of REWIL [24] is used for this model space

Theory Inelastic electron scattering

Ti Tz

The correlated density ρ of

Results and discussion

Conclusions