where

and the other symbols are the same as those used for the SLBW discussion. Expanding the complex operations gives

where the sums over r are limited to resonances in spin sequences that have the specified value of s and J. Unfortunately, the s dependence of the total width is not known. The file contains only the sum of the widths for the two possible spins, s1 and s2. It is assumed that this summed width can be used for one of the two values of s, and zero is used for the other. Of course, it is important to include both channel-spin terms in the potential scattering. Therefore, the equations is written in the following form:

where the sum over J runs over the range

and the l-dependent D gives the additional contribution to the statistical weight resulting from duplicate J values not included in the new J sum; namely,

A case where this correction would appear is the l=1 term for a spin-1 nuclide. There will be 5 J values: 1/2, 3/2, and 5/2 for channel spin 3/2, and 1/2 and 3/2 for channel spin 1/2. All five contribute to the potential scattering, but the ENDF file will only include resonances for the first three.

The fission and capture cross sections are the same as for SLBW. The Psi-Chi Doppler-broadening option cannot be used with this formulation of the MLBW representation.

The format for MLBW data is identical to that for SLBW parameters.