Advertisement

Elementary Relativistic Atoms

  • Leonid Nemenov
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 570)

Abstract

The Coulomb interaction which occurs in the final state between two particles with opposite charges allows for creation of the bound state of these particles. In the case when particles are generated with large momentum in lab frame, the Lorentz factors of the bound state will also be much larger than one. The relativistic velocity of the atoms provides the oppotrunity to observe bound states of (π+μ-), (π+π-) and (π+ K -) with a lifetime as short as 10-16 s, and to measure their parameters. The ultrarelativistic positronium atoms (A 2e ) allow us to observe the effect of superpenetration in matter, to study the effects caused by the formation time of A 2e from virtual e+e- pairs and to investigate the process of transformation of two virtual particles into the bound state.

Keywords

Total Cross Section Chiral Perturbation Theory Lorentz Factor Principal Quantum Number Drift Chamber 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    L.L. Nemenov: Yad.’Fiz. 16, 125 (1972); Sov. J. Nucl. Phys. 16, 67 (1972)Google Scholar
  2. 2.
    R. Coombes et al.: Phys. Rev. Lett. 37, 249 (1976)CrossRefADSGoogle Scholar
  3. 3.
    S.H. Aronson et al.: Phys. Rev. D33, 3180 (1986)ADSMathSciNetGoogle Scholar
  4. 4.
    L.L. Nemenov: Yad. Fiz. 15, 1047 (1972); Sov. J. Nucl. Phys. 15, 582 (1972)Google Scholar
  5. 5.
    G.D. Alekseev et al.: Yad. Fiz. 40, 139 (1984); Sov.J.Nucl.Phys. 40, 87 (1984)Google Scholar
  6. 6.
    L.G. Afanasyev et al.: Phys. Lett. B236, 116 (1990); L.G. Afanasyev et al.: Yad.Fiz. 51: 1040 (1990); Sov. J. Nucl. Phys. 51, 664 (1990)ADSGoogle Scholar
  7. 7.
    L.G. Afanasyev et al.: Yad. Fiz, 50, 7 (1989); Sov. J. Nucl. Phys. 50, 4 (1989)Google Scholar
  8. 8.
    L.L. Nemenov: Yad. Fiz. 34, 1306 (1981); Sov. J. Nucl. Phys. 34, 726 (1981)Google Scholar
  9. 9.
    V.L. Lyuboshits and M.I. Podgoretskiî: Zh. Esksp.Teor. Fiz. 81, 1556 (1981); Sov. Phys. JETP 54, 827 (1981)Google Scholar
  10. 10.
    A.S. Pak, A.V. Tarasov: Sov. J. Nucl. Phys. 45, 92 (1987); Yad. Fiz. 45, 145 (1987)Google Scholar
  11. 11.
    B.G. Zakharov: Yad. Fiz. 46, 148 (1987)Google Scholar
  12. 12.
    L.L. Nemenov: Yad. Fiz. 51, 444, (1990); Sov. J. Nucl. Phys. 51, 284 (1990)Google Scholar
  13. 13.
    J. Uretsky and J. Palfrey: Phys. Rev. 121, 1798 (1961)CrossRefADSGoogle Scholar
  14. 14.
    S.M. Bilenky et al.: Yad. Fiz. 10, 812 (1969); Sov. J. Nucl. Phys. 10, 469 (1970)Google Scholar
  15. 15.
    H. Jallouli and H. Sazdjian, Phys. Rev. D58, 014011 (1998); Erratum: ibid., D58, 099901 (1998)ADSGoogle Scholar
  16. 16.
    M.A. Ivanov, V.E. Lyubovitskij, E.Z. Lipartia and A.G. Rusetsky: Phys. Rev. D58, 0094024 (1998).ADSGoogle Scholar
  17. 17.
    A. Gall, J. Gasser, V.E. Lyubovitskij and A. Rusetsky: Phys. Lett. B462, 335 (1999)ADSGoogle Scholar
  18. 18.
    For reviews on CHPT see e.g. H.L eutwyler [21]; U.G. Meißner: Rep.Prog. Phys. 56 (1993) 903; A. Pich: Lectures given at the V Mexican School of Particles and Fields, Guanajuato, México, December 1992, preprint CERN-Th.6978/93 (hepph/ 9308351); G. Ecker: ‘Chiral perturbation theory’. In: Quantitative Particle Physics Cargèse 1992, Eds. M. Lévy et al. (Plenum Publ. Co., New York, 1993) pp. 101–148; J.F. Donoghue, E. Golowich and B.R. Holstein: Dynamics of the Standard Model (Cambridge University Press, Cambridge 1992)Google Scholar
  19. 19.
    S. Weinberg, Physica 96A, 327 (1979)ADSGoogle Scholar
  20. 20.
    J. Gasser and H. Leutwyler: Phys. Lett. 125B, 327 (1983)ADSGoogle Scholar
  21. 21.
    H. Leutwyler: ‘Nonperturbative Methods’. In: Proc. XXVI Int. Conf. on High Energy Physics, Dallas, 1992, ed. by J.R. Sanford, AIP Conf. Proc. No. 272 (AIP, New York, 1993) pp. 185–211Google Scholar
  22. 22.
    H. Leutwyler, Ann. Phys. 235, 165 (1994); hep-ph/9311274CrossRefADSMathSciNetGoogle Scholar
  23. 23.
    G. Colangelo, J. Gasser and H. Leutwyler: Phys. Lett. B488, 261 (2000)ADSGoogle Scholar
  24. 24.
    M. Gell-Mann, R.J. Oakes and B. Renner: Phys. Rev. 175, 2195 (1968)CrossRefADSGoogle Scholar
  25. 25.
    S. Glashow and S. Weinberg, Phys. Rev. Lett. 20, 224 (1968)CrossRefADSGoogle Scholar
  26. 26.
    M.H. Fuchs, H. Sazdjian and J. Stern: Phys. Lett. B269, 183 (1991)ADSGoogle Scholar
  27. 27.
    J. Stern, H. Sazdjian and N.H. Fuchs: Phys. Rev. D47, 3814 (1993); M. Knecht and J. Stern: ‘Generalized Chiral Perturbation Theory’. In: DAPHNE Physics Handbook 2nd edn., ed. by L. Maiani, G. Pancheri and N. Paver, pp 169-190; hep-ph/9411253Google Scholar
  28. 28.
    M. Knecht et al.: Nucl. Phys. B457, 513 (1995)CrossRefADSGoogle Scholar
  29. 29.
    H. Sazdjian: Phys. Lett. B490, 203 (2000); hep-ph/0004226ADSGoogle Scholar
  30. 30.
    L.L. Nemenov: Yad. Fiz. 41, 980 (1985); Sov. J. Nucl. Phys. 41, 629 (1985)Google Scholar
  31. 31.
    L.G. Afanasyev et al.: Phys. Lett. B308 200 (1993)ADSGoogle Scholar
  32. 32.
    L.G. Afanasyev et al.: Phys. Lett. B338: 478 (1994)ADSGoogle Scholar
  33. 33.
    O.E. Gorchakov, A.V. Kuptsov, L.L. Nemenov and D.Yu. Riabkov: Yad. Fiz. 63, 1936 (2000); Phys.Atom.Nucl. 63, 1847 (2000)Google Scholar
  34. 34.
    Z.K. Silagadze: JETP Lett. 60, 689 (1994); hep-ph/9411382ADSGoogle Scholar
  35. 35.
    R. Staffin: Phys. Rev. D 16, 726 (1977)ADSGoogle Scholar
  36. 36.
    Ching Cheng-rui, Ho Tso-hsiu, and Chang Chao-hsi: Phys. Lett. B98, 456 (1981)ADSGoogle Scholar
  37. 37.
    U. Barr-Gadda and C.F. Cho: Phys. Lett. B46, 95 (1973); C.F. Cho: Nuovo Cimento A23, 557 (1974); H.M.M. Mansour and K. Higgins: ibid., A36, 95 (1976); A. Karimkhodzhaev and R.N. Faustov: Yad. Fiz. 29, 463 (1979); Sov. J. Nucl. Phys. 29, 232 (1979)ADSGoogle Scholar
  38. 38.
    C.F. Cho: Nuovo Cimento A23, 557 (1974)ADSGoogle Scholar
  39. 39.
    H.M.M. Mansour and K. Higgins: Nuovo Cimento A36, 196 (1976).ADSGoogle Scholar
  40. 40.
    A. Karimkhodzhaev and R.N. Faustov, Yad. Fiz. 29, 463 (1979); Sov. J. Nucl. Phys. 29, 232 (1979)Google Scholar
  41. 41.
    S.H. Aronson et al.: Phys.Rev.Lett. 48, 1078 (1982)CrossRefADSGoogle Scholar
  42. 42.
    M.I. Vysotskii: Yad. Fiz. 29, 845 (1979); Sov. J. Nucl. Phys. 29, 434 (1979)Google Scholar
  43. 43.
    O.E. Gorchakov, A.V. Kuptsov, and L.L. Nemenov: Yad. Fiz. 24, 524 (1976); Sov. J. Nucl. Phys. 24, 273 (1976)Google Scholar
  44. 44.
    G.V.M Eledin, V.G. Serbo and A.K. Slivkov: Pis’ma Zh. Exp. Teor. Fiz 13, 98 (1971); JETP Lett. 13, 68 (1971)Google Scholar
  45. 45.
    L.L. Nemenov: Yad. Fiz. 24, 319 (1976); Sov. J. Nucl. Phys. 24, 166 (dy1976)Google Scholar
  46. 46.
    L.S. Dul’yan and A.M. Kotsinyan: Yad. Fiz. 37, 137 (1983); Sov. J. Nucl. Phys. 37, 78 (1983)Google Scholar
  47. 47.
    A.S. Pak, A.V. Tarasov: JINR-P2-85-903, Dubna 1985.Google Scholar
  48. 48.
    H.A. Olsen: Phys. Rev. D 33, 2033 (1986)ADSGoogle Scholar
  49. 49.
    V.L. Lyuboshits: Yad. Fiz. 45, 1099 (1987); Sov. J. Nucl. Phys. 45, 682 (1987)Google Scholar
  50. 50.
    G.H. Gillespie: Phys. Rev. A18, 1967 (1978)ADSGoogle Scholar
  51. 51.
    G.H. Gillespie and M. Inokuti: Phys. Rev. A22, 2430 (1980)ADSGoogle Scholar
  52. 52.
    V.E. Lyubovitskij, E.Z. Lipartia and A.G. Rusetsky: Pis’ma Zh. Exp. Teor. Fiz 66, 747 (1997); JETP Lett. 66 783Google Scholar
  53. 53.
    J. Gasser, V.E. Lyubovitskij and A.G. Rusetsky: Phys. Lett. B471, 244 (1999)ADSGoogle Scholar
  54. 54.
    U. Moor, G. Rasche and W.S. Woolcock, Nucl. Phys. A587, 747 (1995)ADSGoogle Scholar
  55. 55.
    A. Gashi et al.: Nucl. Phys. A628, 101 (1998)ADSGoogle Scholar
  56. 56.
    J. Bijnens et al.: Phys. Lett. B374, 210 (1996)ADSGoogle Scholar
  57. 57.
    J. Bijnens et al.: Nucl. Phys. B508, 263 (1997)CrossRefADSGoogle Scholar
  58. 58.
    S. Mrowczynski: Phys. Rev. A33, 1549 (1986)ADSGoogle Scholar
  59. 59.
    S. Mrowczynski: Phys. Rev. D36, 1520 (1987)ADSGoogle Scholar
  60. 60.
    K.G. Denisenko and S. Mrowczynsky: Phys. Rev. D36, 1529 (1987)ADSGoogle Scholar
  61. 61.
    A.V. Kuptsov, A.S. Pak and S.B. Saakian: Yad. Fiz. 50, 936 (1989); Sov. J. Nucl. Phys. 50, 583 (1989)Google Scholar
  62. 62.
    L.G. Afanasyev: JINR-E2-91-578, Dubna 1991Google Scholar
  63. 63.
    L.G. Afanasyev and A.V. Tarasov: JINR E4-93-293, Dubna, 1993Google Scholar
  64. 64.
    L.G. Afanasyev: Atomic Data and Nuclear Data Tables, 61, 31 (1995)CrossRefADSGoogle Scholar
  65. 65.
    Z. Halabuka et al.: Nucl. Phys. 554, 86 (1999)CrossRefADSGoogle Scholar
  66. 66.
    A.V. Tarasov and I.U. Christova, JINR P2-91-10, Dubna, 1991Google Scholar
  67. 67.
    O.O. Voskresenskaya, S.R. Gevorkyan and A.V. Tarasov: Yad. Fiz. 61, 1628 (1998); Phys.Atom.Nucl. 61, 1517 (1998)Google Scholar
  68. 68.
    L. Afanasyev, A. Tarasov and O. Voskresenskaya: J. Phys. G 25, B7 (1999)ADSGoogle Scholar
  69. 69.
    D.Yu. Ivanov and L. Szymanowski: Eur. Phys. J.A5, 117 (1999)ADSGoogle Scholar
  70. 70.
    L.G. Afanasyev and A.V. Tarasov: Yad. Fiz. 59, 2212 (1996); Phys. Atom. Nucl. 59, 2130 (1996)Google Scholar
  71. 71.
    A.D. Sakharov: Zh. Eksp.Teor.Fiz. 18, 631 (1948)Google Scholar
  72. 72.
    L.G. Afanasyev et al.: Yad. Fiz. 52: 1046 (1990); Sov. J. Nucl. Phys. 52 666 (1990); L.G.Afanasyev et al.: Phys.Lett. B255, 146 (1991)Google Scholar
  73. 73.
    B. Adeva et al.: CERN/SPSLC 95-1, SPSLC/P 284, Geneva 1995.Google Scholar
  74. 74.
    V. Bernard, N. Kaiser and U. Meissner: Phys. Rev. D43, 2757 (1991); V. Bernard, N. Kaiser and U. Meissner, Nucl. Phys. B357, 129 (1991)ADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Leonid Nemenov
    • 1
    • 2
  1. 1.CERNGeneva 23Switzerland
  2. 2.Joint Institute for Nuclear ResearchDubna, Moscow RegionRussia

Personalised recommendations