Simple model for derivingsdginteracting boson model Hamiltonians:Nd150example

Abstract

A simple and yet useful model for deriving sdg interacting boson model (IBM) Hamiltonians is to assume that single-boson energies derive from identical particle (pp and nn) interactions and proton, neutron single-particle energies, and that the two-body matrix elements for bosons derive from pn interaction, with an IBM-2 to IBM-1 projection of the resulting p-n sdg IBM Hamiltonian. The applicability of this model in generating sdg IBM Hamiltonians is demonstrated, using a single-j-shell Otsuka-Arima-Iachello mapping of the quadrupole and hexadecupole operators in proton and neutron spaces separately and constructing a quadrupole-quadrupole plus hexadecupole-hexadecupole Hamiltonian in the analysis of the spectra, 8(E2)'s, and E4 strength distribution in the example of ' Nd.

Consistent description of nuclear charge radii and electric monopole transitions

“…The conclusion of this particular study, namely that the g boson is indispensable for the explanation of the character of some K π = 4 + bands, was confirmed in transfer-reaction studies, see, e.g., Burke et al [60,61]. Other examples of studies of rare-earth nuclei in the sdg-IBM-1 include 168 Er [62], 146−158 Sm [63], and 144−150 Nd [64,65].…”