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The subroutine RWLS

The routine determines the value of the reduced matrix element:

\begin{displaymath}
( l QLS \vert\vert\vert [ a^{(qls)} \times a^{(qls)} ]^{(k_{1}k_{2}k_{3})} \vert\vert\vert l Q'L'S' ).
\end{displaymath} (35)

The routine uses the tables of reduced matrix elements of the tensor operator $[a^{(qls)} \times a^{(qls)}]^{(k_{1}k_{2}k_{3})}$ for s-, p - and d - subshells (see Špakauskas et al  [13]), and for the f - shell the expression (34) from paper P1 [3] is used. The subroutine does not calculate the simple case of $k_{1}=k_{2}=k_{3}=0$, because then the operator is just $[ a^{(qls)} \times a^{(qls)} ]^{(000)}=-(2l+1)^{1/2}$ (expression (15.54) in Rudzikas [14]). The subroutine has the formal arguments:

  1. K1 is the rank $k_{1}$.
  2. K2 is the rank $k_{2}$.
  3. K3 is the rank $k_{3}$.
  4. L is the orbital quantum number l.
  5. J1 is the state number of the bra function (see Tables 1, 2).
  6. J2 is the state number of the ket function.
  7. W is the value of the reduced matrix element (35) which is returned by the subroutine.



2001-12-07