TITLE:
Binding Energy, Root Mean Square Radius and Magnetic Dipole Moment of the Triton Nucleus
AUTHORS:
Khadija Abdelhassan Kharroube
KEYWORDS:
Translation Invariant Shell Model, Residual Two-Body Interactions, Nucleon-Nucleon Interactions, Binding Energy, Nuclear Wave Functions
JOURNAL NAME:
Open Journal of Microphysics,
Vol.14 No.2,
April
9,
2024
ABSTRACT: The basis functions of the translation invariant shell model are used to construct the ground state nuclear wave functions of 3H. The used residual two-body interactions consist of central, tensor, spin orbit and quadratic spin orbit terms with Gaussian radial dependence. The parameters of these interactions are so chosen in such a way that they represent the long-range attraction and the short-range repulsion of the nucleon-nucleon interactions. These parameters are so chosen to reproduce good agreement between the calculated values of the binding energy, the root mean-square radius, the D-state probability, the magnetic dipole moment and the electric quadrupole moment of the deuteron nucleus. The variation method is then used to calculate the binding energy of triton by varying the oscillator parameter which exists in the nuclear wave function. The obtained nuclear wave functions are then used to calculate the root mean-square radius and the magnetic dipole moment of the triton.