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U.S. Department of Energy
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ROBESPIERRE: A PROGRAM FOR CALCULATING THE NELKIN SCATTERING KERNEL FOR BOUND HYDROGEN

Technical Report ·
OSTI ID:4843417
ROBESPIERRE is a FORTRAN-II program for calculating the thermal-neutron scattering-kernel matrices for bound hydrogen, according to Nelkin's formulation. The program computes sigma (E -- E', mu )/ sigma /sub 0/ for a set of input energies and angles, and integrates, using input weighting factors, to evaluate the P/sub 0/, P/sub 1/, P/sub 2/, and P/sub 3/ energy-transfer matrices. The off- line output cards are in a format suitable for input to the other FORTRAN programs developed for neutron-thermalization studies. ROBESPIERRE allows two oscillators to be excited simultaneously, and provides for the inclusion of an asymptotic-expansion correction term, in Hermite polynomials up to order six. The upper and lower limits of the summation are calculated algebraically before the terms are evaluated, assuring convergence and eliminating certain underflow problems that were encountered in earlier programs for calculating the hydrogen kernel. ROBESPlERRE also incorporates a new subroutine for evaluating Bessel functions. (auth)
Research Organization:
General Atomic Div., General Dynamics Corp., San Diego, Calif.
DOE Contract Number:
AT(04-3)-167
NSA Number:
NSA-15-028426
OSTI ID:
4843417
Report Number(s):
GA-1803
Country of Publication:
United States
Language:
English