TY - JOUR
T1 - Sum rules for B (M1, 01+ → 1+) strength in IBM-3 and IBM-4
AU - Halse, P.
AU - Van Isacker, P.
AU - Barrett, B. R.
N1 - Funding Information:
Oneo f us (B.R.B.) acknowledgeths eh ospitalityo f GANIL, wheret his work was carriedo ut, and P.V.I. thanksJo e Ginocchiof or a discussionco ncerningth is work. This researchis supportedin part by the National ScienceF oundationG, rant No. INT-9415451 andb y theC entreN ationadl eR echercheS cientifique.
PY - 1995/11/23
Y1 - 1995/11/23
N2 - Sum rules for B (M1, 01+ → 1i+) strength are derived for even-even nuclei in the isospin-invariant forms of the IBM, IBM-3 and IBM-4, in the cases where the respective natural internal symmetries, isospin U (3) and U (6) ⊃ SU (4), are conserved. Subsequently, the total strength is resolved into its component partial sums to the allowed isospins (and SU (4) representations in IBM-4). In cases where the usual IBM dynamical symmetries are also valid, a complete description of all B (M1, 01+ → 1i+) follows. In contrast to IBM-2, there is fragmentation of the strength even in the dynamical symmetry cases, for T ≠ 0, over two states in IBM-3, and over three states in IBM-4. An application to the first half of the sd-shell reveals differences in strength between IBM-4 and the shell model which may also indicate areas for further study in IBM-2 analyses of heavier nuclei.
AB - Sum rules for B (M1, 01+ → 1i+) strength are derived for even-even nuclei in the isospin-invariant forms of the IBM, IBM-3 and IBM-4, in the cases where the respective natural internal symmetries, isospin U (3) and U (6) ⊃ SU (4), are conserved. Subsequently, the total strength is resolved into its component partial sums to the allowed isospins (and SU (4) representations in IBM-4). In cases where the usual IBM dynamical symmetries are also valid, a complete description of all B (M1, 01+ → 1i+) follows. In contrast to IBM-2, there is fragmentation of the strength even in the dynamical symmetry cases, for T ≠ 0, over two states in IBM-3, and over three states in IBM-4. An application to the first half of the sd-shell reveals differences in strength between IBM-4 and the shell model which may also indicate areas for further study in IBM-2 analyses of heavier nuclei.
KW - IBM-3 and IBM-4
KW - Interacting boson model
KW - M1 sum rules
KW - Scissor mode
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U2 - 10.1016/0370-2693(95)01213-A
DO - 10.1016/0370-2693(95)01213-A
M3 - Article
AN - SCOPUS:0002083231
SN - 0370-2693
VL - 363
SP - 145
EP - 150
JO - Physics Letters B
JF - Physics Letters B
IS - 3
ER -