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2013•arXiv (Cornell University)Open access

FOUR PARTICLES AND EIGHT PARTICLES IN a SINGLE j- SHELL-THE BACKBONE of the SHELL MODEL

L. Zamick, A. Escuderos, T. H. Hoang

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Abstract

Previous results of single -j shell calculations for 44 Ti and 48 Cr are compared to experiment. In the single j-shell approximation for these N=Z nucliewe have respectively four partilces and eight particles in the f7/2 shell. Agreement is not perfect but is sufficiently good to lend support to the validity of the shell model. We comapre B(E2)’s in the Shell, Rotational and Vibrational Models for 44 Ti and 48 Cr. We discuss the I=0 ground state wave functions of even-even Ti isotopes usnng isospin considerations.

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What this paper is about

Previous results of single -j shell calculations for 44 Ti and 48 Cr are compared to experiment. In the single j-shell approximation for these N=Z nucliewe have respectively four partilces and eight particles in the f7/2 shell. Agreement is not perfect but is sufficiently good to lend support to the validity of the shell model. We comapre B(E2)’s in the Shell, Rotational and Vibrational Models for 44 Ti and 48 Cr. We discuss the I=0 ground state wave functions of even-even Ti isotopes usnng isospin considerations.

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Available abstract

Previous results of single -j shell calculations for 44 Ti and 48 Cr are compared to experiment. In the single j-shell approximation for these N=Z nucliewe have respectively four partilces and eight particles in the f7/2 shell. Agreement is not perfect but is sufficiently good to lend support to the validity of the shell model. We comapre B(E2)’s in the Shell, Rotational and Vibrational Models for 44 Ti and 48 Cr. We discuss the I=0 ground state wave functions of even-even Ti isotopes usnng isospin considerations.

Key concepts: Shell (structure), SHELL model, Isospin, Isotope, Atomic physics, Physics, Wave function, Nuclear physics

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