Mathematical Formulations of Physical Quantities for j-j-coupling Nuclear Shell Model

抄録

Fractional parentage coefficients defined by G. Racah for nuclear j-j-coupling wave functions ((j)²,j:(j)³), ((j)³,j:(j)⁴) and ((j)⁴,j:(j)⁵) (maximum T only) for j=3⁄2 and j=5⁄2 are calculated by group theoretical method. Using these coefficients formulae are derived for the matrix elements of operators generally defined such as T₀^(p)(S^(k)·L^(k)) or T₀^(p)S₀⁽⁰⁾L₀^(k) in a nuclear configuration consisted of several closed shells and one unfilled shell, in terms of the basic two body integrals.