Phase-shift analysis of nucleon-nucleon scattering at low energy

Other Title(s)

تحليل الإزاحة الطورية لتشتت نيوكلون-نيوكلون عند الطاقات المنخفضة

Dissertant

al-Rabaa, Mahmud Ibrahim Imlawi

Thesis advisor

Abusini, Majid

Comitee Members

Rabi, Iqab Mahmud
Chair, Nur al-Din
al-Jaghoub, Mahmud

University

Al albayt University

Faculty

Faculty of Sciences

Department

Department of Physics

University Country

Jordan

Degree

Master

Degree Date

2009

English Abstract

Our intention is to apply the method of the phase shift analysis to neutron-proton scattering at low energy, and to demonstrate the dependence of phase-shift on angular momentum (ℓ) when the potential is assumed to have a finite interaction range.

For this purpose, our task is to solve the radial wave equation for S-wave ; we will illustrate nucleon-nucleon (N-N) potential for two body problem (square-well, and hard sphere potentials).

According to deuteron theory, we chose 55.2537 Mev for deuteron potential and 2 fm for deuteron radius then drew figures representing the singlet and triplet phase shifts and the cross sections which are all functions of incident neutron energy.

There is agreement between our theoretical calculation and experimental data.

The main contribution in phase shift and cross section is S-wave scattering (ℓ = 0).

Our calculations indicated that the value of singlet cross section (n↑p↓) is more than that of triplet state (n↑p↑); while the values of triplet and singlet phase shifts and cross sections become closer to each other as the neutron energy increases.

The role of high order (ℓ > 0) is essential at high energies.

Main Subjects

Physics

No. of Pages

62

Table of Contents

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Language

English

Data Type

Arab Theses

Record ID

BIM-302921