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Mass Number Dependence of Nuclear Pairing

S. Hilaire·J. -F. Berger·M. Girod·W. Satula·P. Schuck
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Abstract

Large scale Hartree-Fock-Bogoliubov (HFB) calculations with the finite-range Gogny force D1S have been performed in order to extract the corresponding theoretical average mass dependence of the nuclear gap values. Good agreement with experimental data from the three-point filter $Δ^{(3)}$(N) with N odd has been found for both the neutron and proton gaps. The study confirms earlier findings [W. Satula, J. Dobaczewski, and W. Nazarewicz, Phys. Rev. Lett. 81 3599 (1998)] that the mass dependence of the gap is much weaker than the so far accepted 12/$\sqrtA$ MeV law.

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S. Hilaire, J. -F. Berger, M. Girod, W. Satula, P. Schuck. 2002-06-27. Mass Number Dependence of Nuclear Pairing. https://doi.org/10.1016/s0370-2693(02)01371-0

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