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Elementary Relativistic Atoms

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The Hydrogen Atom

Part of the book series: Lecture Notes in Physics ((LNP,volume 570))

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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.

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References

  1. L.L. Nemenov: Yad.’Fiz. 16, 125 (1972); Sov. J. Nucl. Phys. 16, 67 (1972)

    Google Scholar 

  2. R. Coombes et al.: Phys. Rev. Lett. 37, 249 (1976)

    Article  ADS  Google Scholar 

  3. S.H. Aronson et al.: Phys. Rev. D33, 3180 (1986)

    ADS  MathSciNet  Google Scholar 

  4. L.L. Nemenov: Yad. Fiz. 15, 1047 (1972); Sov. J. Nucl. Phys. 15, 582 (1972)

    Google Scholar 

  5. G.D. Alekseev et al.: Yad. Fiz. 40, 139 (1984); Sov.J.Nucl.Phys. 40, 87 (1984)

    Google Scholar 

  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)

    ADS  Google Scholar 

  7. L.G. Afanasyev et al.: Yad. Fiz, 50, 7 (1989); Sov. J. Nucl. Phys. 50, 4 (1989)

    Google Scholar 

  8. L.L. Nemenov: Yad. Fiz. 34, 1306 (1981); Sov. J. Nucl. Phys. 34, 726 (1981)

    Google Scholar 

  9. V.L. Lyuboshits and M.I. Podgoretskiî: Zh. Esksp.Teor. Fiz. 81, 1556 (1981); Sov. Phys. JETP 54, 827 (1981)

    Google Scholar 

  10. A.S. Pak, A.V. Tarasov: Sov. J. Nucl. Phys. 45, 92 (1987); Yad. Fiz. 45, 145 (1987)

    Google Scholar 

  11. B.G. Zakharov: Yad. Fiz. 46, 148 (1987)

    Google Scholar 

  12. L.L. Nemenov: Yad. Fiz. 51, 444, (1990); Sov. J. Nucl. Phys. 51, 284 (1990)

    Google Scholar 

  13. J. Uretsky and J. Palfrey: Phys. Rev. 121, 1798 (1961)

    Article  ADS  Google Scholar 

  14. S.M. Bilenky et al.: Yad. Fiz. 10, 812 (1969); Sov. J. Nucl. Phys. 10, 469 (1970)

    Google Scholar 

  15. H. Jallouli and H. Sazdjian, Phys. Rev. D58, 014011 (1998); Erratum: ibid., D58, 099901 (1998)

    ADS  Google Scholar 

  16. M.A. Ivanov, V.E. Lyubovitskij, E.Z. Lipartia and A.G. Rusetsky: Phys. Rev. D58, 0094024 (1998).

    ADS  Google Scholar 

  17. A. Gall, J. Gasser, V.E. Lyubovitskij and A. Rusetsky: Phys. Lett. B462, 335 (1999)

    ADS  Google Scholar 

  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. S. Weinberg, Physica 96A, 327 (1979)

    ADS  Google Scholar 

  20. J. Gasser and H. Leutwyler: Phys. Lett. 125B, 327 (1983)

    ADS  Google Scholar 

  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. 185–211

    Google Scholar 

  22. H. Leutwyler, Ann. Phys. 235, 165 (1994); hep-ph/9311274

    Article  ADS  MathSciNet  Google Scholar 

  23. G. Colangelo, J. Gasser and H. Leutwyler: Phys. Lett. B488, 261 (2000)

    ADS  Google Scholar 

  24. M. Gell-Mann, R.J. Oakes and B. Renner: Phys. Rev. 175, 2195 (1968)

    Article  ADS  Google Scholar 

  25. S. Glashow and S. Weinberg, Phys. Rev. Lett. 20, 224 (1968)

    Article  ADS  Google Scholar 

  26. M.H. Fuchs, H. Sazdjian and J. Stern: Phys. Lett. B269, 183 (1991)

    ADS  Google Scholar 

  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/9411253

    Google Scholar 

  28. M. Knecht et al.: Nucl. Phys. B457, 513 (1995)

    Article  ADS  Google Scholar 

  29. H. Sazdjian: Phys. Lett. B490, 203 (2000); hep-ph/0004226

    ADS  Google Scholar 

  30. L.L. Nemenov: Yad. Fiz. 41, 980 (1985); Sov. J. Nucl. Phys. 41, 629 (1985)

    Google Scholar 

  31. L.G. Afanasyev et al.: Phys. Lett. B308 200 (1993)

    ADS  Google Scholar 

  32. L.G. Afanasyev et al.: Phys. Lett. B338: 478 (1994)

    ADS  Google Scholar 

  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. Z.K. Silagadze: JETP Lett. 60, 689 (1994); hep-ph/9411382

    ADS  Google Scholar 

  35. R. Staffin: Phys. Rev. D 16, 726 (1977)

    ADS  Google Scholar 

  36. Ching Cheng-rui, Ho Tso-hsiu, and Chang Chao-hsi: Phys. Lett. B98, 456 (1981)

    ADS  Google Scholar 

  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)

    ADS  Google Scholar 

  38. C.F. Cho: Nuovo Cimento A23, 557 (1974)

    ADS  Google Scholar 

  39. H.M.M. Mansour and K. Higgins: Nuovo Cimento A36, 196 (1976).

    ADS  Google Scholar 

  40. A. Karimkhodzhaev and R.N. Faustov, Yad. Fiz. 29, 463 (1979); Sov. J. Nucl. Phys. 29, 232 (1979)

    Google Scholar 

  41. S.H. Aronson et al.: Phys.Rev.Lett. 48, 1078 (1982)

    Article  ADS  Google Scholar 

  42. M.I. Vysotskii: Yad. Fiz. 29, 845 (1979); Sov. J. Nucl. Phys. 29, 434 (1979)

    Google Scholar 

  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. 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. L.L. Nemenov: Yad. Fiz. 24, 319 (1976); Sov. J. Nucl. Phys. 24, 166 (dy1976)

    Google Scholar 

  46. L.S. Dul’yan and A.M. Kotsinyan: Yad. Fiz. 37, 137 (1983); Sov. J. Nucl. Phys. 37, 78 (1983)

    Google Scholar 

  47. A.S. Pak, A.V. Tarasov: JINR-P2-85-903, Dubna 1985.

    Google Scholar 

  48. H.A. Olsen: Phys. Rev. D 33, 2033 (1986)

    ADS  Google Scholar 

  49. V.L. Lyuboshits: Yad. Fiz. 45, 1099 (1987); Sov. J. Nucl. Phys. 45, 682 (1987)

    Google Scholar 

  50. G.H. Gillespie: Phys. Rev. A18, 1967 (1978)

    ADS  Google Scholar 

  51. G.H. Gillespie and M. Inokuti: Phys. Rev. A22, 2430 (1980)

    ADS  Google Scholar 

  52. V.E. Lyubovitskij, E.Z. Lipartia and A.G. Rusetsky: Pis’ma Zh. Exp. Teor. Fiz 66, 747 (1997); JETP Lett. 66 783

    Google Scholar 

  53. J. Gasser, V.E. Lyubovitskij and A.G. Rusetsky: Phys. Lett. B471, 244 (1999)

    ADS  Google Scholar 

  54. U. Moor, G. Rasche and W.S. Woolcock, Nucl. Phys. A587, 747 (1995)

    ADS  Google Scholar 

  55. A. Gashi et al.: Nucl. Phys. A628, 101 (1998)

    ADS  Google Scholar 

  56. J. Bijnens et al.: Phys. Lett. B374, 210 (1996)

    ADS  Google Scholar 

  57. J. Bijnens et al.: Nucl. Phys. B508, 263 (1997)

    Article  ADS  Google Scholar 

  58. S. Mrowczynski: Phys. Rev. A33, 1549 (1986)

    ADS  Google Scholar 

  59. S. Mrowczynski: Phys. Rev. D36, 1520 (1987)

    ADS  Google Scholar 

  60. K.G. Denisenko and S. Mrowczynsky: Phys. Rev. D36, 1529 (1987)

    ADS  Google Scholar 

  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. L.G. Afanasyev: JINR-E2-91-578, Dubna 1991

    Google Scholar 

  63. L.G. Afanasyev and A.V. Tarasov: JINR E4-93-293, Dubna, 1993

    Google Scholar 

  64. L.G. Afanasyev: Atomic Data and Nuclear Data Tables, 61, 31 (1995)

    Article  ADS  Google Scholar 

  65. Z. Halabuka et al.: Nucl. Phys. 554, 86 (1999)

    Article  ADS  Google Scholar 

  66. A.V. Tarasov and I.U. Christova, JINR P2-91-10, Dubna, 1991

    Google Scholar 

  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. L. Afanasyev, A. Tarasov and O. Voskresenskaya: J. Phys. G 25, B7 (1999)

    ADS  Google Scholar 

  69. D.Yu. Ivanov and L. Szymanowski: Eur. Phys. J.A5, 117 (1999)

    ADS  Google Scholar 

  70. L.G. Afanasyev and A.V. Tarasov: Yad. Fiz. 59, 2212 (1996); Phys. Atom. Nucl. 59, 2130 (1996)

    Google Scholar 

  71. A.D. Sakharov: Zh. Eksp.Teor.Fiz. 18, 631 (1948)

    Google Scholar 

  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. B. Adeva et al.: CERN/SPSLC 95-1, SPSLC/P 284, Geneva 1995.

    Google Scholar 

  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)

    ADS  Google Scholar 

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Author information

Authors and Affiliations

  1. CERN, CH-1211, Geneva 23, Switzerland

    Leonid Nemenov

  2. Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia

    Leonid Nemenov

Authors
  1. Leonid Nemenov
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Editor information

Editors and Affiliations

  1. D.I. Mendeleev Institute for Metrology, 198005, St. Petersburg, Russia

    Savely G. Karshenboim

  2. MPI for Quantum Optics, 85748, Garching, Germany

    Savely G. Karshenboim  & T.W. Hänsch  & 

  3. Scuola Normale Superiore, Piazza dei Cavalieri, Pisa, Italy

    F. Bassani

  4. Dept.of Physics, University of Perugia, Perugia, Italy

    F.S. Pavone

  5. LENS and INFM, University of Florence, 50125, Florence, Italy

    F.S. Pavone

  6. Dept. of Physics and LENS, University of Florence, Florence, Italy

    M. Inguscio

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Nemenov, L. (2001). Elementary Relativistic Atoms. In: Karshenboim, S.G., Bassani, F., Pavone, F., Inguscio, M., Hänsch, T. (eds) The Hydrogen Atom. Lecture Notes in Physics, vol 570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45395-4_12

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  • DOI: https://doi.org/10.1007/3-540-45395-4_12

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