Correlation between Nucleon-Nucleon Interaction, Pairing Energy Gap and Phase Shift for Identical Nucleons in Nuclear Systems ()
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.
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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.
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