Orbital M1 versus E2 strength in deformed nuclei: A new energy weighted sum rule

E. Moya De Guerra, L. Zamick

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

Within the unified model of Bohr and Mottelson we derive the following linear energy weighted sum rule for low-energy orbital 1+ excitations in even-even deformed nuclei SLElew(M1orb) (6/5)ε [B(E2;01+→21+K=0)/Ze2r22]μN2 with B(E2) the E2 strength for the transition from the ground state to the first excited state in the ground-state rotational band, r2 the charge rms radius squared, and ε the binding energy per nucleon in the nuclear ground state. It is shown that this energy weighted sum rule is in good agreement with available experimental data. The sum rule is derived using a simple ansatz for the intrinsic ground-state wave function that predicts also high-energy 1+ strength at 2Latin small letter h with strokew carrying 50% of the total m1 moment of the orbital M1 operator.

Original languageEnglish (US)
Pages (from-to)2604-2609
Number of pages6
JournalPhysical Review C
Volume47
Issue number6
DOIs
StatePublished - 1993

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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