Study of the Anharmonic Effects on Low-Lying States of Odd-Mass Nuclei in 1g9/2+ Shell Region

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Abstract
Anharmonic effects on the low-lying states of the odd-mass nuclei in 1g9/2+ shell region are investigated by introduction of 1, 3, 5 and 7 quasiparticle modes. Special attention is paid to the energy-lowering of anomalous coupling states in N=41 nuclei and to the spin sequence of so-called “one-quasiparticle-two-phonon multiplet”. It is shown that one cannot attribute the special-lowering of the energies of the anomalous coupling (j-2) states to the dynamical effects due to the coupling between the 3-quasiparticle mode and the 5-quasiparticle mode, and is also shown that not only the kinematical effect but also the dynamical effect plays an important role in the energy-lowering of the anomalous coupling (j-1) states in N=41 nuclei. The second (j-2) state is predicted to be the lowest member of one-quasiparticle-two-phonon multiplet by taking account of the kinematical effect for the 5-quasiparticle mode, which corresponds to the experimental fact.

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