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NEA-1422 NESKA.

NESKA, Electron and Positron Scattering from Point Nuclei

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1. NAME OR DESIGNATION OF PROGRAM:  NESKA.
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2. COMPUTERS
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Program name Package id Status Status date
NESKA NEA-1422/01 Tested 18-JUL-2002

Machines used:

Package ID Orig. computer Test computer
NEA-1422/01 HP 9000 PC Pentium III
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3. DESCRIPTION OF PROGRAM OR FUNCTION

The 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 appearing in Mott's cross section 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 ratio of the Mott cross section to the classical Rutherford cross section.
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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 0.92 seconds.
NEA-1422/01
On COMPAQ deskpro EN, Pentium III 330MHz:
MAIN.FOR, 5 seconds
less than 1 second for a single call to subroutine NESKA
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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-1422/01 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
  Accepted for publication in Nucl. Instr. and Meth. in Phys. Res.
  B.
- 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.
NEA-1422/01, included references:
- NESKA.F
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11. MACHINE REQUIREMENTS:  297 Kbytes of core storage.
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
NEA-1422/01 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 Telecomunication
          Universidad del Pais Vasco
          Alda. Urquijo, s/n
          48013 - Bilbao, Spain
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16. MATERIAL AVAILABLE
NEA-1422/01
NESKA Source Program
NESKA Main Output
NESKA Information File
NESKA Main Source
NESKA.F   user's guide
NESKA Source Program
NESKA Main output
NESKA Information file
NESKA Main source
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17. CATEGORIES
  • A. Cross Section and Resonance Integral Calculations

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