Three-nucleon Force in Nucleus-nucleus Elastic Scattering at Medium Energy: Application to \(\alpha\)-4He Scattering

Authors

  • M. A. Hassan Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt.
  • H. E. A. Awd-Allah Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt.

DOI:

https://doi.org/10.9734/bpi/rtcps/v8/15692D

Keywords:

Three-nucleon force, optical limit approximation, \(\alpha\)-4He elastic scattering, medium energy

Abstract

In the framework of optical limit approximation with inclusion of the three-nucleon force effect the general formalism of nucleus-nucleus elastic scattering is presented. A three-nucleon force profile function of interaction is used. In the case of \(\alpha\)-4 He scattering a reasonable agreement with the experimental data of elastic scattering differential cross section at the momenta 4.32, 5.07 and 7 GeV/c is obtained. The large value of slope parameter evaluated from the nucleon-nucleon interaction radius improve the results of calculations.   We show that the three-nucleon force effect is important and clear for \(q^2 \geq\ 0.1\)  (GeV/c)2.

Published

2022-03-04

How to Cite

M. A. Hassan, & H. E. A. Awd-Allah. (2022). Three-nucleon Force in Nucleus-nucleus Elastic Scattering at Medium Energy: Application to \(\alpha\)-4He Scattering. Research Trends and Challenges in Physical Science Vol. 8, 61–72. https://doi.org/10.9734/bpi/rtcps/v8/15692D

Issue

Research Trends and Challenges in Physical Science Vol. 8

Section

Chapters