Spectroscopy of samarium isotopes in thesdginteracting boson model

B(IS4; 0 GS + ?4 ? + ) systematics in rare-earth nuclei: SUsdg (3) description

“…In general the departures from data can be explained by detailed spectroscopic calculations in sdg space and the corresponding results for 152,t54Sm [14] are shown in Fig. 2a and they are in close agreement with data.…”

“…2, it can be concluded that sdgIBM provides a meaningful framework for describing By (IS4) data. This together with the recent /~4 data analysis [3] shows that sdgIBM is well suited for understanding hexadecupole (in addition to quadrupole [13,14,22]) properties of nuclei in rare-earth region.…”

“…2a and that of detailed calculations [15] are essentially same and both seem to show departures from Ichihara et al's [4] data; the detailed calculations are performed to explain the E4 data for the first three 4 + levels obtained by Todd Baker et al [16] using 135 MeV polarized protons. In summary, the g-boson content of S U~ag (3) wavefunctions (eventhough they are generated by S U~ag(3 ) quadrupole operator) and the (Z, N) dependence of E4 effective charges are adequate to describe By (IS4) systematics while the sdgIBM calculations where one explicitly includes hexadecupole force in the hamiltonian provide detailed description as in the case of 152,154Sm and 192Os isotopes.…”

“…In the last three decades considerable amount of data on Be'S has accumulated for rare-earth [1] and actinide [2] nuclei; recently their variation with mass number is successfully described by the S gsdg(3 ) limit of sdg interacting boson model (sdgIBM) [3]. In (hereafter referred to as B.…”

“…With the scale factor Z/A and the assumption that mass and charge distributions coincide, the B (IS4)'s will be numerically same as (the isoscalar part of) B(E4)'s [4,5]. Assuming that the transition density p (r) has the same form (say Woods-Saxon) as the nuclear potential and carrying out coupled channel analysis together with y-vibrational or asymmetric rotor model, the By (IS4) values are deduced from scattering data (similarly fl4'S derive from B(IS4; (0~s~4as)).+ + In order to describe the above By (IS4) data, the sdglBM formalism given in [3] for the study of f14 systematics is extended to include: (i) a more realistic multi-j shell mapped (instead of the single-j shell version of the Otsuka, Arima and Iachello (OAI) mapping [6] employed in [3]) hexadecupole transition operators (TE4; p = g for proton bosons and v for neutron bosons) in proton, neutron spaces; (ii) derivation of exact expression for E4 matrix elements connecting members of GS-band to y-band in the S Usdg (3) limit (instead of using the Coherent State formalism [7,8]) and taking large-N limit.…”