This seems more in keeping wit!i the shell model than the usual procedure of combining first the spins of the initial particles then forming the resultant of total spin plus orbital angular momentum.
PROCPHYS SOC LXV, 12-A Over pa, M,, up, expression simplifies to Using the orthogonality properties of Wigner coefficients, the I CJe J P L 2 J 51 j n p I ( 0 ) =~q h l C~e~i~ iq M,M~MI F L M (~) ..#-..(6) where M = Me -M,, Me = M,+pn, pLn = & 4, and the ZL pole angular distributions FLM(0) are tabulated, e.g. by Arnold (1950). T h e highest power of cos2 0 in I(0) is cosZpO, where p is the greatest integer less than or equal to j,, J,, L and hence I(0) is isotropic if -in= & or Je = 0 or 4, Note that with the assumptions made the result (6) is free of adjustable parameters, and is independent of I, , except in so far asj, can only have one of the two values Ink 8.