Self-consistency in the projected shell model

• Published in: Nuclear physics. A Vol. 643; no. 1; pp. 39 - 51
• Main Authors: Velázquez, V., Hirsch, J.G., Sun, Y.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 16.11.1998
• Subjects: Energy spectra; Heavy deformed nuclei; Projected shell model; 21.10.−k; 21.30.Fe; Projected shell model; Energy spectra; Heavy deformed nuclei; 21.60.−n; 27.70.+q
• ISSN: 0375-9474
• DOI: 10.1016/S0375-9474(98)00549-1

The projected shell model is a shell-model theory built up over a deformed BCS mean field. Ground state and excited bands in even-even nuclei are obtained through diagonalization of a pairing plus quadrupole Hamiltonian in an angular momentum projected 0-, 2-, and 4-quasiparticle basis. The residual quadrupole-quadrupole interaction strength is fixed self-consistently with the deformed mean field and the pairing constants are the same used in constructing the quasiparticle basis. Taking 160Dy as an example, we calculate low-lying states and compare them with experimental data. We exhibit the effect of changing the residual interaction strengths on the spectra. It is clearly seen that there are many J π = 0 +, 1 +, 4 + bandheads whose energies can only be reproduced using the self-consistent strengths. It is thus concluded that the projected shell model is a model with essentially no free parameters. The predicted energy of the 2 + bandhead lies however in nearly twice the experimental value.