Author(s)

Willy K. Koech^*, Ken M. Muguro, Godfrey S. Murunga, Kapil M. Khanna

Department of Physics, University of Eldoret, Eldoret, Kenya.

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 k_F via the phase shift δ (k_F). 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 k_F = 0.8 fm^-1.

Scattering Length, Pairing Gap, Phase Shift, Fermi Momentum

Koech, W. , Muguro, K. , Murunga, G. and Khanna, K. (2019) Correlation between Nucleon-Nucleon Interaction, Pairing Energy Gap and Phase Shift for Identical Nucleons in Nuclear Systems. Journal of High Energy Physics, Gravitation and Cosmology, 5, 321-331. doi: 10.4236/jhepgc.2019.52018.