A nuclear mass formula based on SU(4) symmetry

Abstract : It is argued that mass anomalies at the N≈Z line are associated with SU(4) isospin-spin symmetry. Drawing on these arguments, a Weizsäcker-type nuclear mass formula is investigated which has the eigenvalue of the quadratic Casimir operator of SU(4) as a Wigner term. This SU(4)-based mass formula yields a better agreement than the one with the usual Wigner term |N—Z|/A. In addition, the SU(4) eigenvalue expression adequately replaces the usual pairing term of the Weizsäcker formula giving a lower overall rms deviation than the latter.
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Submitted on : Wednesday, May 19, 2004 - 11:46:40 AM
Last modification on : Tuesday, February 19, 2019 - 10:04:10 AM

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P. van Isacker, O. Juillet, B.K. Gjelsten. A nuclear mass formula based on SU(4) symmetry. Foundations of Physics, Springer Verlag, 1997, 27, pp.1047-1060. ⟨in2p3-00021828⟩

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