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NESC0639 POLLA

POLLA-NESC, Resonance Parameter R-Matrix to S-Matrix Conversion by Reich-Moore Method

NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROBLEM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHORS, MATERIAL, CATEGORIES
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1. NAME OR DESIGNATION OF PROGRAM:  POLLA
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2. COMPUTERS
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Program name Package id Status Status date
POLLA-NESC NESC0639/01 Tested 01-OCT-1975

Machines used:

Package ID Orig. computer Test computer
NESC0639/01 IBM 370 series IBM 370 series
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3. DESCRIPTION OF PROBLEM OR FUNCTION

The program transforms a set of r-matrix nuclear resonance parameters into a set of equivalent s-matrix (or Kapur-Peierls) resonance parameters.
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4. METHOD OF SOLUTION

The program utilizes the multilevel formalism of Reich and Moore and avoids diagonalization of the level matrix. The parameters are obtained by a direct partial fraction expansion of the Reich-Moore expression of the collision matrix. This approach appears simpler and faster when the number of fission channels is known and small. The method is particularly useful when a large number of levels must be considered because it does not require diagonalization of a large level matrix.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

By DIMENSION statements, the program is limited to maxima of 100 levels and 5 channels.
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6. TYPICAL RUNNING TIME

The sample problem requires less than one minute on the IBM360/91.
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7. UNUSUAL FEATURES OF THE PROGRAM:
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8. RELATED AND AUXILIARY PROGRAMS:
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9. STATUS
Package ID Status date Status
NESC0639/01 01-OCT-1975 Tested at NEADB
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10. REFERENCES:
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11. MACHINE REQUIREMENTS

The program requires 240K bytes to compile, 62K bytes to execute.
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
NESC0639/01 FORTRAN-IV
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:  OS/360.
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS

   The
running time increases as the ratio of average width to spacing increases.
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15. NAME AND ESTABLISHMENT OF AUTHORS

                 G. de Saussure and R. B. Perez
                 Oak Ridge National Laboratory
                 P. O. Box X
                 Oak Ridge, Tennessee  37830
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16. MATERIAL AVAILABLE
NESC0639/01
File name File description Records
NESC0639_01.001 SOURCE PROGRAM (F4) 232
NESC0639_01.002 SAMPLE PROBLEM DATA 107
NESC0639_01.003 SAMPLE PROBLEM PRINTED OUTPUT 217
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17. CATEGORIES
  • A. Cross Section and Resonance Integral Calculations

Keywords: R matrix, S matrix, multilevel analysis, reich-moore formula, resonance.