Sum rules for B (M1, 01+ → 1+) strength in IBM-3 and IBM-4

P. Halse, P. Van Isacker, Bruce R Barrett

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)145-150
Number of pages6
JournalPhysics Letters B
Volume363
Issue number3
DOIs
StatePublished - Nov 23 1995

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sum rules
symmetry
even-even nuclei
heavy nuclei
fragmentation

Keywords

  • IBM-3 and IBM-4
  • Interacting boson model
  • M1 sum rules
  • Scissor mode

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Sum rules for B (M1, 01+ → 1+) strength in IBM-3 and IBM-4. / Halse, P.; Van Isacker, P.; Barrett, Bruce R.

In: Physics Letters B, Vol. 363, No. 3, 23.11.1995, p. 145-150.

Research output: Contribution to journalArticle

Halse, P. ; Van Isacker, P. ; Barrett, Bruce R. / Sum rules for B (M1, 01+ → 1+) strength in IBM-3 and IBM-4. In: Physics Letters B. 1995 ; Vol. 363, No. 3. pp. 145-150.
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