Skip to main content
Log in

Estimation of the Sea Level Muon Spectra at Different Zenith Angles below 10 TeV Energy

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

The moderate energy primary cosmic ray nucleon spectrum has been calculated from the direct measurements of Webber et al., Seo et al., and Menn et al. along with the other results surveyed by Swordy. Using these directly measured primary mass composition results all particle primary nucleon energy spectrum has been constructed using superposition model to estimate the energy spectra of muons from the decay of the cosmic ray non-prompt and prompt mesons in the atmosphere. The Z-factors have been estimated from the CERN LEBC-EHS on the Lorentz invariant cross section results on pp → π±X and pp → K±X inclusive reactions and FNAL data on π±p → π ±X reactions, and duly corrected for A--A collisions. Using these Z-factors the meson energy spectra in the atmosphere have been calculated. The sea level muon energy spectra at zenith angles 0°, 45°, 72°, and 75° have been derived from the decay of non-prompt mesons by adopting standard diffusion equation of hadronic cascades. The contribution of charmed mesons to muon spectrum has also been accounted by adapting the conventional procedure. The derived differential sea level muon energy spectra for energies ≤10 TeV have been found to follow the power law fits of the form N μ(E)≈ const. E . Our estimated muon energy spectra at zenith angles ≤75° have been found comparable with the global spectrograph muon flux results of MARS, DEIS, and MSU groups.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M.G. Thompson and M.R. Whalley: J. Phys. G 3 (1977) 97.

    Google Scholar 

  2. O.C. Allkofer et al.: Phys. Rev. Lett. 41 (1978) 832.

    Google Scholar 

  3. A.D. Erlykin, L.K. Ng, and A.W. Wolfendale: J. Phys. A 7 (1974) 2059.

    Google Scholar 

  4. P.K.F. Greider: Nuovo Cimento 7 (1977) 1.

    Google Scholar 

  5. D.P. Bhattacharyya: Nuovo Cimento C 21 (1998) 65.

    Google Scholar 

  6. M. Mitra and D.P. Bhattacharyya: Int. J. Mod. Phys. A 13 (1998) 209.

    Google Scholar 

  7. J.R. Ren et al. (Fuji-Kanbala Collaboration): Phys. Rev. D 38 (1988) 1426.

    Google Scholar 

  8. M. Mitra, P. Pal, and D.P. Bhattacharyya: Nuovo Cimento 20 (1997) 527.

    Google Scholar 

  9. S.P. Swordy: in Proc. 23rd Int. Cosmic Ray Conf., Calgary 1993 (Eds. D. Venkatesan, D.A. Leahy, and R.B. Hicks), University of Calgary, 1993, Vol. 5, p. 243.

  10. G. Parente, A. Shoup, and G.B. Yodh: Astropart. Phys. 3 (1995) 17.

    Google Scholar 

  11. W.R. Webber et al.: in Proc. 20th Int. Cosmic Ray Conf., Moscow 1987 (Eds. V.A. Kozyarivsky et al.), University of Moscow, 1987, Vol. 1, p. 325.

  12. W. Menn et al.: in Proc. 25th Int. Cosmic Ray Conf., Durban 1997 (Eds. M.S. Potgieter, B.C. Raubenheimer, and D.J. van der Walt), Potchefstroom University, 1997, Vol. 3, p. 489.

  13. M.J. Ryan et al.: Phys. Rev. Lett. 28 (1972) 15.

    Google Scholar 

  14. JACEE Collaboration (Asakimori et al.): in Proc. 23rd Int. Cosmic Ray Conf., Calgary 1993 (Eds. D. Venkatesan, D.A. Leahy, and R.B. Hicks), Universty of Calgary, 1993, Vol. 2, p. 21.

  15. JACEE Collaboration (Asakimori et al.): in Proc. 23rd Int. Cosmic Ray Conf., Calgary 1993 (Eds. D. Venkatesan, D.A. Leahy, and R.B. Hicks), Universty of Calgary, 1993, Vol. 2, p. 25.

  16. RICH Experiment (J. Dwyer et al.): in Proc. 23rd International Cosmic Ray Conf., Calgary 1993 (Eds. D. Venkatesan, D.A. Leahy, and R.B. Hicks), University of Calgary, 1993, Vol. 1, p. 587.

  17. CRN Experiment (D. Muller et al.): Astrophys. J. 374 (1991) 356.

    Google Scholar 

  18. E.S. Seo et al.: Nucl. Tracks Rad. Meas. 20 (1992) 431.

    Google Scholar 

  19. SOKOL Experiment (I.P. Ivanenko et al.): in Proc. 23rd Int. Cosmic Ray Conf., Calgary 1993 (Eds. D. Venkatesan, D.A. Leahy, and R.B. Hicks), Universty of Calgary, 1993, Vol. 2, p. 17.

  20. D.P. Bhattacharyya and P. Pal: [tiNuovo Ciento C5 (1982) 287]

  21. Aguilar Benitez et al.: Z. Phys. C 50 (1991) 405.

    Google Scholar 

  22. A.E. Brenner et al.: Phys. Rev. D 25 (1982) 1497.

    Google Scholar 

  23. P. Pal, D.P. Bhattacharyya, and S. Bhattacharyya: Nuovo Cimento C 17 (1994) 255.

    Google Scholar 

  24. P. Pal and D.P. Bhattacharyya: Can. J. Phys. 63 (1985) 1050.

    Google Scholar 

  25. G.B. Yodh, R.W. Ellsworth, T. Stanev, and T.K. Gaisser: Nucl. Phys. B 183 (1981) 12.

    Google Scholar 

  26. D.P. Bhattacharyya: Can. J. Phys. 61 (1983) 434.

    Google Scholar 

  27. Y. Minorikawa and K. Mitsu: Lett. Nuovo Cimento 44 (1985) 651.

    Google Scholar 

  28. A.D. Erlykin, L.K. Ng and A.W. Wolfendale: J.Phys.A 7 (1974) 2059.

    Google Scholar 

  29. E.V. Bugaev et al.: in Proc. 20th Int. Cosmic Ray Conf., Moscow 1987, (Eds. V.A. Kozyarivsky et al.), Universty of Moscow, 1987, Vol. 6, p. 305.

  30. R. Hagedorn: Relativistic Kinematics, Benjamin Inc., New York, 1963.

    Google Scholar 

  31. K. Mitsui, Y. Minorikawa, and H. Komori: Nuovo Cimento C 9 (1987) 979.

    Google Scholar 

  32. L.V. Volkova et al.: Sov. J. Nucl. Phys. 31 (1980) 784.

    Google Scholar 

  33. O.C. Allkofer, D.P. Bhattacharyya, and J.N. Capdevielle: Lett. Nuovo Cimento 44 (1985) 227.

    Google Scholar 

  34. M. Honda et al.: Phys. Rev. D 52 (1995) 4985.

    Google Scholar 

  35. K. Mitsui et al.: Nuovo Cimento C 9 (1986) 995.

    Google Scholar 

  36. V. Agrawal et al.: Phys. Rev. D 53 (1996) 1314.

    Google Scholar 

  37. A.V. Butkevich et al.: Sov. J. Phys. 50 (1989) 90.

    Google Scholar 

  38. S.N. Boziev, A.E. Chudakov, and A.V. Voevodsky: in Proc. 21st Int. Cosmic Ray Conf., Adelaide 1990 (Ed. R.J. Protheroe), University of Adelaide, 1990, Vol. 9, p. 38.

  39. F.F. Khalchukov et al.: in Proc. 19th Int. Cosmic Ray Conf., La Jolla 1985, Universty of La Jolla, 1985, Vol. 8, p. 12.

    Google Scholar 

  40. MUTRON Collaboration (S. Matsuno et al.): Phys. Rev. D 29 (1984) 1.

    Google Scholar 

  41. O.C. Allkofer et al.: in Proc. 17th Int. Cosmic Ray Conf., Paris 1981 (Ed. C. Ryter), CEN Saclay, 1981, Vol. 10, p. 321.

  42. M.G. Thompson et al.: in Proc. 15th Int. Cosmic Ray Conf., Plovdiv 1977 (Eds. Y. Stamenov et al.), Inst. of Nucl. Res., Sofia, 1977, Vol. 6, p. 21.

  43. MARS (C.A. Ayre et al.): J.Phys.G 1 (1975) 584.

    Google Scholar 

  44. O.C. Allkofer, K. Carstensen, and W.D. Dau: Phys. Lett. B 36 (1971) 425.

    Google Scholar 

  45. M.A. Ivanova et al.: in Proc. 19th Int. Cosmic Ray Conf., La Jolla 1985 (Eds. T.K. Gaissev et al.), Universty of California, La Jolla, 1985, Vol. 8, p. 210.

    Google Scholar 

  46. B.C. Rastin: J. Phys. G 10 (1984) 1609.

    Google Scholar 

  47. DEIS Collaboration (O.C. Allkofer et al.): in Proc. 15th Int. Cosmic Ray Conf., Plovdiv 1977 (Eds. Y. Stamenov et al.), Inst. of Nucl. Res., Sofia, 1977, Vol. 9, p. 62; Phys. Rev. D 31 (1985) 1557.

  48. T.H. Burnett et al.: in Proc. 13th Int. Cosmic Ray Conf., Denver 1973 (Ed. R.L. Chasson), University of Denver, 1973, Vol. 3, p. 1764.

  49. M.A. Ivanova et al.: in Proc. 16th Int. Cosmic Ray Conf., Kyoto 1979 (Ed. S. Miyake), Universty of Kyoto, 1979, Vol. 10, p. 35.

  50. J.G. Asbury et al.: Nuovo Cimento B 66 (1970) 169.

    Google Scholar 

  51. L. Leipuner et al.: in Proc. 13th Int. Cosmic Ray Conf., Denver 1973 (Ed. R.L. Chasson), University of Denver, 1973, Vol. 3, p. 1771.

  52. H. Jokisch et al.: Phys. Rev. D 19 (1979) 1368.

    Google Scholar 

  53. P.J. Green et al.: Phys. Rev.D 20 (1979) 1598.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mitra, M., Molla, N., Pal, P. et al. Estimation of the Sea Level Muon Spectra at Different Zenith Angles below 10 TeV Energy. Czechoslovak Journal of Physics 51, 75–88 (2001). https://doi.org/10.1023/A:1026622008551

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026622008551

Keywords

Navigation