Fractional Parentage Coefficients in Intermediate CouplingFractional parentage coefficients are obtained which connect certain low-lying states in the 1p shell without the necessity of referring to either an LS or jj representation. The possibility of doing this algebraically is based on the generator method of producing the wave functions of these states. |
Common terms and phrases
1TKP 9/2 function adjacent nuclei angular momentum eigenfunctions band-mixing Beł Bilaniuk CFP are listed CFP expression CFP for K CFP of Jahn CFP relating CFP to particle CK'r Coefficients of fractional Commission configuration determinant expan evaluate the CFP factor fn(j fractional parentage coefficients function with opposite ground-state band hole CFP intermediate-coupling calculation IosoTo isobaric spin ITKp Jahn and van jj representation Kp as functions low-lying lowest lp shell LS limit LS or jj mirror partners n-1)-nucleon function n-nucleon Nilsson level Nilsson parameter normalization coefficients nth nucleon number of nucleons oblate deformation obtain the CFP parameter ʼn particle CFP Phase factor physical interest probabilities for reaching procedure prolate deformation quantum number region of physical resultant CFP simple spin-orbit coupling total angular momentum upper half usual intermediate-coupling values vector-coupling coefficient wave func wave functions indicates Wieringen ž ž Кр скр