TY - JOUR

T1 - Orbital M1 versus E2 strength in deformed nuclei

T2 - A new energy weighted sum rule

AU - Moya De Guerra, E.

AU - Zamick, L.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevC.47.2604

DO - 10.1103/PhysRevC.47.2604

M3 - Article

AN - SCOPUS:4243846354

VL - 47

SP - 2604

EP - 2609

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 6

ER -