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NEA-1451 MUTIL.

MUTIL, Asymmetry Factor of Mott Cross-Sections for Electron, Positron Scattering

NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROGRAM 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:  MUTIL.
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2. COMPUTERS
To submit a request, click below on the link of the version you wish to order. Only liaison officers are authorised to submit online requests. Rules for requesters are available here.
Program name Package id Status Status date
MUTIL NEA-1451/01 Tested 18-JUL-2002

Machines used:

Package ID Orig. computer Test computer
NEA-1451/01 HP 9000 PC Pentium III
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3. DESCRIPTION OF PROGRAM OR FUNCTION

The asymmetry factor S of Mott's differential cross section for the scattering of electrons and positrons by point nuclei without screening is calculated for any energy, atomic number and angle of scattering.
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4. METHOD OF SOLUTION

We have summed the conditionally convergent series, F and G, appearing in the asymmetry factor using two consecutive transformations: The one of Yennie, Ravenhall and Wilson and that of Euler till we have seven times six significant figures repeated in the factor S.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

Those appearing in the use of Mott's cross section for unscreened point nuclei.
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6. TYPICAL RUNNING TIME

On an HP9000/800 less than 1.0 seconds except for very low angles and high atomic numbers, reaching even 5.0 s. This limit running time can be seriously reduced up to 0.70 s on a
Convex Computer with scalar optimization and even to 0.25 s with the vectorization compiler directive.
NEA-1451/01
On COMPAQ deskpro EN, Pentium III 330MHz:
MAIN.FOR, 10 seconds
less than 1 second for a single call to subroutine MUTIL.
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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
NEA-1451/01 18-JUL-2002 Tested at NEADB
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10. REFERENCES

- R. Idoeta and F. Legarda,
"Review and calculation of Mott scattering cross section by
unscreened point nuclei".
Reprint from Nucl. Instr. and Meth. in Phys. Res. B., 71 (1992)
116.
- D.L. Yennie, D.G. Ravenhall and R.N. Wilson,
"Phase-shift Calculation of High-Energy Electron Scattering".
Phys. Rev. 95, (1954) 500.
- Handbook of Mathematical Functions, Ed. M. Abramowitz and
I.A. Stegun
(Dover Publications, New York, 1965)
- J.W. Motz, H. Olsen and H.W. Koch,
"Electron Scattering without Atomic or Nuclear Excitation".
Rev. Mod. Phys. 36, (1964) 881. Formula 1A-109a.
- R. Idoeta and F. Legarda,
"Calculation of electron polarization in the elastic electron and
positron scattering by point nuclei".
Nucl.Instr. and Meth. in Phys. Res. B. (accepted for publication).
NEA-1451/01, included references:
- Guide for the MUTIL Code.
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11. MACHINE REQUIREMENTS:  254 kbytes of core storage.
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
NEA-1451/01 FORTRAN-77
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:
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15. NAME AND ESTABLISHMENT OF AUTHORS

R. Idoeta and F. Legarda
Dpt. Ingenieria Nuclear y Mecanica de Fluidos
E.T.S. Ingenieros Industriales e Ingenieros de Telecomunicacion
Universidad del Pais Vasco
Alda. Urquijo, s/n
48013 - Bilbao, SPAIN
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16. MATERIAL AVAILABLE
NEA-1451/01
source program   mag tapeMAIN.F Source File                         SRCTP
source program   mag tapeMUTIL.F MUTIL Source Program               SRCTP
test-case output mag tapeRESULTS.TAB Output File                    OUTTP
miscellaneous    mag tapeREADME. Information File                   MISTP
user's guide             Guide for the MUTIL Code                   WRKPT
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17. CATEGORIES
  • A. Cross Section and Resonance Integral Calculations

Keywords: cross sections, elastic scattering, electrons, polarization, positrons.