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

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.

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

Cited by in corpus (13)

• Odd- J Pairing in Nuclei
• The (2j-1) rule with other interactions
• Isobaric analog states in the f_{7/2} and g_{9/2} shells
• Gamow-Teller transitions and magnetic moments using various interactions
• Partial Conservation Law in a Schematic Single j Shell Model
• Odd J states of isospin zero and one for 4 nucleon systems: near degeneracies
• A critical look at the vibrational model for ^{92}Pd and comparison with ^{48}Cr
• Wave functions of the Q.Q interaction in terms of unitary 9-j coefficients
• Selection rules for ^48Cr
• More on Odd-J Pairing in Nuclei
• On the Coulomb Interaction in a Nucleus for Odd J States
• Schematic Interactions with Many Degeneracies
• The Expectation Value of S(1).S(2)-Wave Functions Don't Matter