Empirical isospin-nonconserving hamiltonians for shell-model calculations

Ormand, W.E.; Brown, B.A.

doi:10.1016/0375-9474(89)90203-0

Empirical isospin-nonconserving hamiltonians for shell-model calculations

1989

23 pages

Published in:

Nucl.Phys.A 491 (1989) 1-23

Published: 1989

DOI:

10.1016/0375-9474(89)90203-0

View in:

Nuclear Science References

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Abstract: (Elsevier)

Hamiltonians for shell-model calculations of isospin-nonconserving (INC) processes are determined empirically by requiring that they reproduce experimentally measured isotopic mass shifts. Five separate configuration spaces were considered: the 0p; the 0 p 1 2 , 0 d 5 2 , and 1 s 1 2 ; the Is-0d; the 0 d 3 2 and 0 f 7 2 ; and the 0f-1p shell-model spaces. The INC hamiltonian was assumed to be comprised of the Coulomb force plus phenomenological isospin-nonconserving nucleon-nucleon interactions. The parameters of the hamiltonian are the isovector single-particle energies, the overall Coulomb strength, and the isovector and isotensor strengths of the nucleon-nucleon INC interaction; and were obtained by performing a least-squares fit to experimental b - and c -coefficients of the isobaric-mass-multiplet equation.

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