Shell-model test of the rotational-model relation between static quadrupole moments Q(2{sub 1}{sup +}),B(E2)'s, and orbital M1 transitions

Journal Article · Wed Mar 15 00:00:00 EST 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.73.037306· OSTI ID:20771405

Robinson, S J.Q.; Escuderos, A; Zamick, L; Neumann-Cosel, P von; Richter, A; Fearick, R W ^[1]

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1. Geology and Physics Department, University of Southern Indiana, Evansville, Indiana 47712 (United States)

In this work, we examine critically the relation between orbital magnetic dipole (scissors mode) strength and quadrupole deformation properties. Assuming a simple K=0 ground-state band in an even-even nucleus, the quantities Q(2{sub 1}{sup +}) (i.e., the static quadrupole moment) and B(E2){sub 0{sub 1}}{sub {yields}}{sub 2{sub 1}} both are described by a single parameter--the intrinsic quadrupole moment Q{sub 0}. In the shell model, we can operationally define Q{sub 0}(static) and Q{sub 0}(BE2) and see if they are the same. Following a brief excursion to the sd shell, we perform calculations in the fp shell. The nuclei we consider ({sup 44,46,48}Ti and {sup 48,50}Cr) are far from being perfect rotors, but we find that the calculated ratios Q{sub 0}(static)/Q{sub 0}(BE2) with an FPD6 interaction are often very large (very close to unity) and far from the simple vibrational limit of zero. The experimental ratios for {sup 46}Ti and {sup 48}Ti are somewhat smaller ({approx}0.75), but the {sup 50}Cr value is larger, exceeding unity. We also discuss the quadrupole collectivity of orbital magnetic dipole transitions. We find that the large orbital B(M1) strength in {sup 44}Ti relative to {sup 46}Ti and {sup 48}Ti cannot be explained by simple deformation arguments.

• OSTI ID: 20771405
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 73, Issue 3; Other Information: DOI: 10.1103/PhysRevC.73.037306; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHROMIUM 50
COLLECTIVE MODEL
DEFORMED NUCLEI
E2-TRANSITIONS
GROUND STATES
M1-TRANSITIONS
MAGNETIC DIPOLES
NUCLEAR DEFORMATION
NUCLEAR ELECTRIC MOMENTS
NUCLEAR MAGNETIC MOMENTS
PROBABILITY
QUADRUPOLE MOMENTS
QUADRUPOLES
ROTATIONAL STATES
SHELL MODELS
TITANIUM 44
TITANIUM 46
TITANIUM 48