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

Abstract

Abstract. The observed variation of B (IS4; 0+s ~4 +) with mass number A, that gives information about hexadecupole component in y-vibration, in rare-earth nuclei is studied in the SUsdg (3) limit of sdg interacting boson model employing IBM-2 to IBM-1 projected hexadecupole transition operator with effective charges determined using a multi-j shell mapping procedure. The SU~dg (3) limit provides a reasonably good description of the data. PACS: 21.10. Ky; 21.60.Fw; 23.20.Js; 27.70. + qThe experimental information about hexadecupole shapes and shape oscillations is obtained from measurements of hexadecupole deformation parameter f14 and ground state (GS) to y-band t0 + --->4 + cs ~ ) E4 transition strengths; the latter gives information about hexadecupole component in y-vibration. In the last three decades considerable amount of data on Be'S has accumulated for rare-earth (hereafter referred to as B. (IS4)) strengths in ' Sin, u 16~ 164Dy, 166'168Er, aY6yb, 182'184W, and 192Os using 65 MeV polarized protons and they have provided By (IS4) (or equivalently Y42 deformation c%2 ) systematics in rare-earth region. The purpose of this paper is to study the B~ (IS4) systematics in sdgIBM framework. Before proceeding further it should be mentioned that the iso-scalar hexadecupole mass transi- 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.In proton-neutron sdgIBM the general hexadecupole transition operator Tf4(zrv) is written as rf4( v) = Z h 4 Q4;

Configuration mixing in thesdginteracting boson model

“…It is thus natural that over the years the emphasis of applications of the sdg IBM has been on deformed nuclei, and their interpretation with the SU(3) limit of U (15), either schematically [6,7] or more realistically via SU(3)-tensor analysis [8][9][10]. Other aspects of these studies in the context of the sdg SU(3) limit concerned its microscopic [11], wavefunction [12] and intrinsic-state [13] analysis, its extension to odd-mass nuclei [14,15] as well as applications related to E4 properties [16,17] and superdeformed bands [18][19][20][21][22][23][24][25], besides more numerically oriented applications [26][27][28][29].…”