Wave functions in the f(7/2) shell, for educational purposes and ideas

Jun, 2005
184 pages
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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.