γ-unstable nuclei in the sdg boson model

Simple model for derivingsdginteracting boson model Hamiltonians:Nd150example

“…[12], and the Hamiltonian H"based on the commutator method given by Kuyucak et al. [5,8] belong to the first class, while the Otsuka-Arima-Iachello (OAI) [13] mapped and IBM-2 to IBM-1 projected Hamiltonian HQ~fp j proposed by Devi [3], the seniority transformed Dyson boson mapped and IBM-2 to IBM-1 projected Hamiltonian HDYs p", of Navratil and Dobes [14], and the single-jshell seniority mapped Hamiltonian HQ&& f"&& of Yoshinaga [15] belong to the second class. Yoshinaga's HQAI f Hamiltonian is not useful in analyzing real nuclei unless it is extended to multi-j-shell cases, and also to protonneutron systems.…”

Transient field measurements of first-excited stateg-factors in188,190,192Os

“…As the present measurement confirms the magnetic moment values adopted earlier [2][3][4], the discussions and conclusions included in those publications remain valid, insofar as the applications of the models have not dated. Recently, the importance of including hexadecapole bosons (i. e. g bosons) in IBM calculations of the properties of these nuclei has been recognised [16], and currently, the influence of the g-boson on M1 properties is being assessed [17].…”

Description of E 4 Transitions in A = 192, 194, 196, 198 Platinum Isotopes in a Microscopic sdgIBM-1

“…For the whole isotopic chain the boson effective charge e b 4 and coefficients ξ i (i = 1, 2, 3) deduced microscopically decrease slightly with increasing mass. This differs from the constant choice in the phenomenological works; [8,11] ii)…”

“…Despite all of these, we also noticed such works on E4 properties which clarified that a good description of the E4 properties can be reached only if hexadecapole terms are included in the Hamiltonian of the system. [6,8,11,12] For the interacting boson model (IBM), that is to say, g bosons must be incorporated. Although IBM would therefore become more complicated after the incorporation of g bosons, it has turned out to be quite promising in practice.…”

“…The following works, for example, are quite successful. In light-mass region, the states with isospin T = 0 in the magnesium nucleus (A = 24) are studied by Devi et al [6] In the middlemass region, the spectra, E2 and E4 transition properties in the palladium isotopes are studied by Wesselling et al [10] In the heavy-mass region, phase transition, E2 and E4 transitions in the platinum isotopes are studied by Kuyucak et al [8,11] and E2 transitions in dysprosium, ytterbium, osmium and uranium isotopes are studied by Long et al [14−17] The success in phenomenological works invokes us to study its underlying physics. Based on a microscopic sdIBM, which is proposed by Yang et al [18] in terms of Dyson boson expansion technique, we established a microscopic sdgIBM by incorporating g bosons.…”