An alternative understanding of mass formulas in terms of nuclear structure

Details An alternative understanding of mass formulas in terms of nuclear structure An alternative understanding of mass formulas in terms of nuclear structure

2005-03-03

arxiv.org/abs/nucl-th/0503006v2

Prog.Theor.Phys. 113 (2005) 1215-1237

Physics

Nuclear Physics

Nuclear Theory

to be published in Prog. Theor. Phys. Vol. 113, No. 6

Scientific paper

10.1143/PTP.113.1215

A typical form of mass formula is re-explained in terms of nuclear structure. For $ N \approx Z $ nuclei, we propose to start with the shell model picture and to consider the T=0 $2n-2p$ ($\alpha$-like) correlations as the fundamental concept, instead of the symmetry energy. Subsequently, the symmetry energy is described on the basis of the $\alpha$-like superfluidity caused by the T=0 $2n-2p$ correlations, in parallel with the pairing energy described on the basis of the pairing superfluidity. This re-explanation gives useful insight for understanding the nuclear mass formula. The origin of the Wigner energy is also explained in an interacting boson model for the Cooper pairs in the $\alpha$-like superfluid vacuum. Adding a correction term due to the T=0 $2n-2p$ correlations, which determines the T=0 base level for nuclear masses, can improve the mass formulas in practice.

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