Inelastic Form Factor Calculations for 46,48,50Ti Isotopes Using Tassie Model

Mohanad H Oleiwi,Peter Ivanov

doi:10.1155/2021/6639185

Abstract

Inelastic form factors of electrical transition have been calculated for 46,48,50Ti isotopes using the Tassie model. The form factors have been calculated for different exciting energies. The harmonic oscillator (HO) wave function has been used as a single-particle wave function. The model space has been considered as 1f7/2, 2p3/2, 2p1/2, and 2f5/2. Gx1 has been used as effective interaction in all calculations. In all calculations, the effective charge has been considered as 1.5e for proton and 0.5e for neutron. All obtained results have been compared with data from an experiment. The calculations show the Tassie model gives a good description of longitudinal form factors of 46,48,50Ti isotopes in E(2+) transitions as compared with experimental data, especially in the region below 2 fm−1 of momentum transfer, but in the E(4+), the theoretical results deviated slightly from experimental data especially in the region greater than 1.5 fm−1 of momentum transfer.

Highlights

Is research was performed at the Laboratory of the department of Physics, University of Surrey, UK
We notice that the first peak occurs at q 0.6 fm−1, the second peak at q 1.7 fm−1, and the third peak at q 2.6 fm−1
Longitudinal Form Factors of E(2+) Transition. e first maximum of longitudinal electrical transition form factors with excitation energy 0.984 MeV occurs at 0.65 fm−1 momentum transfer, the second maximum occurred at 1.5 fm−1, and the third maximum occurred at 2.5 fm−1 of momentum transfer as shown in Figure 2(a). e first and second peaks of the theoretical calculations as shown as continuous curve are good agreement with experimental data which shows as dotted curve, but the third peak of theoretical calculations locates under the experimental data

Summary

Introduction

Is research was performed at the Laboratory of the department of Physics, University of Surrey, UK. 􏽰 r2jJ(kr)ρmJtss (r) − FLJ z (2Ji + 1/4π) dr rJ+1ρ0 (r)jJ−1(kr)

Results

Conclusion