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Wave functions in the f_{7/2} shell, for educational purposes and ideas

A. Escuderos·L. Zamick·B. F. Bayman
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Abstract

We use the spectrum of {42}Sc as input to calculate wave functions and energy levels of all nuclei in the single-j-shell model with j equal to f_{7/2}. The value of these results for educational purposes is pointed out. Also new insights emerge. For example, it is noted that for the (Z=4,N=4) nucleus {48}Cr, a good quantum number comes out: (-1)^{(v_p+v_n)/2}, where v_p and v_n are the seniority quantum numbers of the protons and neutrons, respectively.

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A. Escuderos, L. Zamick, B. F. Bayman. 2005-06-27. Wave functions in the f_{7/2} shell, for educational purposes and ideas. https://arxiv.org/abs/nucl-th/0506050

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