Wave functions in the f_7/2 shell, for educational purposes and ideas

2005/06/15 by A. Escuderos, L. Zamick, Escuderos, A. +3 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0506050

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

openalex publication_date 2005/06/15 · arxiv created 2005/06/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use the spectrum of 42Sc 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 48Cr, 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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• Odd-Jpairing in nuclei

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