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

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

2005-06-15

arxiv.org/abs/nucl-th/0506050v2

Physics

Nuclear Physics

Nuclear Theory

184 pages, RevTex4. Some lines added in the Justification section; minor errors corrected; format of output data improved; ref

Scientific paper

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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