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In ENDF/B, scattering from many closely-spaced levels or
multibody scattering such as (n,2n), (n,n' ),
and fission can be represented using a separable function of scattering
cosine and secondary neutron energy
where F is the probability that a neutron will scatter through a
laboratory angle with cosine irrespective
of final energy E'. It is obtained from MF=4. Similarly,
g is the probability that a neutron's energy will change from
E to E' irrespective of the scattering angle, and it is
given in MF=5. Continuum reactions are easily identified by MT numbers
of 6-49 and 91. The secondary-energy distributions can be represented
using a two-dimensional tabulation or using an analytic law. The feed
functions for continuum scattering are simply
and the cosine omega is related to secondary energy E' by
As discussed in the companion article in this volume "An Introduction
to the ENDF Formats," the separability assumption is no longer
considered adequate for reaction like (n,2n) or
(n,n' ), because it doesn't describe
the energy-angle correlation that occurs for these reactions. As a
result, the continuum approach is only found for old carry-over
materials and for minor actinides or fission products where neutron
transport is a secondary concern. In these cases, the angular
distribution is almost invariably given as isotropic in the
laboratory system. However, the continuum approach remains the
method of choice for fission, which is also modeled as isotropic
in the laboratory frame. Therefore, in almost all cases of
interest, the feed function reduces to
The integrals on the right hand side are returned by the GROUPR subroutine
GETSED (for get secondary energy distribution), which either
interpolates and integrates over the tabulation, or uses direct analytical
integrals, as required. The integration over incident energy proceeds as
for all other GROUPR quantities. The result in a scattering or fission
matrix, gg'. For scattering,
the matrix will contain only downscattering elements for groups
g from the threshold up. For fission, the matrix can be almost
completely full with both energy increase and energy loss elements.
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