TITLE:
Correlation between Nucleon-Nucleon Interaction, Pairing Energy Gap and Phase Shift for Identical Nucleons in Nuclear Systems
AUTHORS:
Willy K. Koech, Ken M. Muguro, Godfrey S. Murunga, Kapil M. Khanna
KEYWORDS:
Scattering Length, Pairing Gap, Phase Shift, Fermi Momentum
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.5 No.2,
February
20,
2019
ABSTRACT: Assuming some known nucleon-nucleon interactions, and using the relations between phase shift δ and nucleon-nucleon interaction potential V (r) ; the relation between nucleon-nucleon interaction and scattering length a; the relation between energy gap Δ, and scattering length a; an equation is obtained between energy gap Δ and Fermi momentum kF via the phase shift δ (kF). Assuming 1s0 (singlet) pairing between the nucleons, the energy gap Δ has been calculated and it is found that Δ = 3.0 MeV at Fermi momentum kF = 0.8 fm-1.