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Shell-Model Spectroscopy of f−p -Shell Nuclei with A≤44

J.B. McGrory

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Abstract

The properties of all $f\ensuremath{-}p$-shell nuclei with $42\ensuremath{\le}A\ensuremath{\le}44$ have been calculated from one consistent shell model. The model space includes all Pauli-allowed states for all configurations of two, three, or four particles distributed among the four $f\ensuremath{-}p$ shell orbits. The model Hamiltonian is a one-body plus two-body operator very similar to the "realistic" effective Hamiltonian of Kuo and Brown. Calculated results are given for excitation energies, single-particle transfer spectroscopic factors, electric-quadrupole and magnetic dipole moments, and $B(M1)$'s and $B(E2)$'s for transitions between low-lying states. The calculated results are in fair agreement with experimental information on these various observables. The results suggest that core-excitation effects are more important in the lower half of the ${f}_{\frac{7}{2}}$ shell than in the $s\ensuremath{-}d$ shell.

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What this paper is about

The properties of all $f\ensuremath{-}p$-shell nuclei with $42\ensuremath{\le}A\ensuremath{\le}44$ have been calculated from one consistent shell model. The model space includes all Pauli-allowed states for all configurations of two, three, or four particles distributed among the four $f\ensuremath{-}p$ shell orbits. The model Hamiltonian is a one-body plus two-body operator very similar to the "realistic" effective Hamiltonian of Kuo and Brown. Calculated results are given for excitation energies, single-particle transfer spectroscopic factors, electric-quadrupole and magnetic dipole moments, and $B(M1)$'s and $B(E2)$'s for transitions between low-lying states. The calculated results are in fair agreement with experimental information on these various observables. The results suggest that core-excitation effects are more important in the lower half of the ${f}_{\frac{7}{2}}$ shell than in the $s\ensuremath{-}d$ shell.

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Available abstract

The properties of all $f\ensuremath{-}p$-shell nuclei with $42\ensuremath{\le}A\ensuremath{\le}44$ have been calculated from one consistent shell model. The model space includes all Pauli-allowed states for all configurations of two, three, or four particles distributed among the four $f\ensuremath{-}p$ shell orbits. The model Hamiltonian is a one-body plus two-body operator very similar to the "realistic" effective Hamiltonian of Kuo and Brown. Calculated results are given for excitation energies, single-particle transfer spectroscopic factors, electric-quadrupole and magnetic dipole moments, and $B(M1)$'s and $B(E2)$'s for transitions between low-lying states. The calculated results are in fair agreement with experimental information on these various observables. The results suggest that core-excitation effects are more important in the lower half of the ${f}_{\frac{7}{2}}$ shell than in the $s\ensuremath{-}d$ shell.

Key concepts: Physics, Hamiltonian (control theory), Quadrupole, Atomic physics, Excitation, Dipole, Quantum mechanics, Mathematical optimization

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