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NEA-1451 MUTIL.

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

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1. NAME OR DESIGNATION OF PROGRAM:  MUTIL.
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2. COMPUTERS
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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.