Upper bounds for electromagnetic excitations

doi:10.1016/0370-2693(82)91187-X

Physics Letters B

Volume 108, Issues 4–5, 28 January 1982, Pages 256-260

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Abstract

A generally applicable procedure, based on spectral distribution methods, is given here for evaluating approximately the maximum possible transition strengths in a nucleus achievable by working in a given model space. The method does not involve tedius matrix diagonalization and can be easily used in large model spaces. Comparisons are made with exact shell-model and SU(3) calculations. Numerical examples are given for electric and magnetic multipole transitions from the ground state in the ds-shell nuclei ²⁰Ne, ²⁴Mg, ²⁸Si, ³²S and ³⁶Ar.

References (11)

L.S. Hsu
Phys. Lett.
(1967)
F. Ajzenberg-Selove
Nucl. Phys.
(1972)
P.M. Endt et al.
Nucl. Phys.
(1973)
T.R. Halemane
F.S. Chang et al.
Ann. Phys.
(1971)
K. Kar

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Cited by (1)

Fixed-JT averages of electromagnetic operators
1984, Nuclear Physics, Section A
A method is presented to express fixed-JT traces in terms of fixed-J_ZT_Z traces for an arbitrary tensor operator. The method is used to evaluate the coefficients of the linear, secular energy variation of the electric quadrupole moment and the gyromagnetic ratio for a number of nuclei in the sd shell. Upper limits for the electromagnetic moments are used to estimate the fluctuations about this secular variation.

^☆: Supported in part by the Department of Energy and the National Science Foundation.

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Upper bounds for electromagnetic excitations☆

Abstract

Phys. Lett.

Nucl. Phys.

Nucl. Phys.

Ann. Phys.