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

A. Escuderos, L. Zamick, B. F. Bayman

Published 2005-06-15, updated 2005-06-27Version 2

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.