Changes

a_{L S}^{J}

a_{L S}^{J}

</math>

</math>

where <math>\lambda=\lambda_1-\lambda_2</math>,and the double-stacked symbols are Clebsh-Gordon coefficients.  The product of CG coefficients in the second brackets on the right-hand side represent the overlap between the basis vectors in the helicity and ''L,S'' basis.  This overlap integral is somewhat lengthy to calculate, but the result turns out to be fairly simple, as shown above.

where <math>\lambda=\lambda_1-\lambda_2</math>,and the double-stacked symbols are Clebsh-Gordon coefficients.  The product of CG coefficients in the second brackets on the right-hand side represent the overlap between the basis vectors in the helicity and ''L,S'' basis, which turns out to be independent of ''m'', as required by rotational invariance.  This overlap integral is somewhat lengthy to calculate, but the result turns out to be fairly simple, as shown above.

=== Isospin Projections ===

=== Isospin Projections ===