Application of the Kerman-Klein method to the solution of a spherical shell model for a deformed rare-earth nucleus

Details Application of the Kerman-Klein method to the solution of a spherical shell model for a deformed rare-earth nucleus Application of the Kerman-Klein method to the solution of a spherical shell model for a deformed rare-earth nucleus

1997-02-19

arxiv.org/abs/nucl-th/9702043v1

Phys.Rev.Lett. 78 (1997) 4347-4350

Physics

Nuclear Physics

Nuclear Theory

revtex and postscript, including 1 figure(postscript), submitted to Phys.Rev.Lett

Scientific paper

10.1103/PhysRevLett.78.4347

Core-particle coupling models are made viable by assuming that core properties such as matrix elements of multipole and pairing operators and excitation spectra are known independently. From the completeness relation, it is seen, however, that these quantities are themselves algebraic functions of the calculated core-particle amplitudes. For the deformed rare-earth nucleus 158Gd, we find that these sum rules are well-satisfied for the ground state band, implying that we have found a self-consistent solution of the non-linear Kerman-Klein equations.

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