Phase Shift Analysis in Nuclear Astrophysics

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This book is directly based on the results of extensive research and consists of three chapters. The first is devoted to the description of the general mathematical methods of calculation of various nuclear characteristics. It defines the general criteria and methods of creation of intercluster potentials in a continuous and discrete spectrum. The second chapter discusses phase shift analysis of the elastic scattering of the nuclear particles 4Не4Не, n3He, р6Li, p12C, n12C, р13С, р14С, n16O, p16O and 4Не12C at low and astrophysical energies. The third part of the text investigates three-body single-channel models of some light nuclear nuclei, namely 7Li, 9Be and 11B.

Author(s): Sergey Dubovichenko
Publisher: Cambridge Scholars Publishing
Year: 2022

Language: English
Pages: 306
City: Newcastle upon Tyne

Contents
Introduction
I: Methods of Solving the Schrödinger Equation
Introduction
1.1 The general methods of solving
the Schrödinger equation
1.2 The numerical methods of solving
the Schrödinger equation
1.3 Program for the calculation of phase shifts for the central real potentials
1.4 Program for calculating scattering phase shifts for the central complex potentials
1.5 Creation of the intercluster potentials
1.6 Potentials and wave functions
1.7 Methods of phase shift analysis
1.8 General principles of the three-body model
1.9 Variation methods of the three-body model
Conclusion
II: Phase Shift Analysis
Introduction
2.1 Phase shift analysis of elastic 4He4He scattering
2.2 Phase shift analysis of 4He12C elastic scattering
2.3 Phase shift analysis of elastic N12C, p14C, and N16O scattering
2.4 Phase shift analysis of elastic p6Li scattering
2.5 Phase shift analysis and computer programs for scattering of non-identical particles with 1/2+1/2 spin
Conclusion
III: The Three-Body Model
Introduction
3.1 The three-body configurations of 7Li and the three-body program
3.2 Three-body model of 9Be
3.3 The three-cluster structure of 11B
Conclusion
Author Information
References