The European Physical Journal A

, Volume 31, Issue 2, pp 213–220 | Cite as

String deformations induced by retardation effects in mesons

Regular Article - Hadron Physics

Abstract.

The rotating-string model is an effective model of mesons, in which the quark and the antiquark are linked by a straight string. We previously developed a method to estimate the retardation effects in this model, but the string was still kept straight. We now go a step further and show that this kind of retardation effects cause a small deviation of the string from the straight line. We first give general arguments constraining the string shape. Then, we find analytical and numerical solutions for the string deformation induced by retardation effects. We finally discuss the influence of the curved string on the energy spectrum of the model.

PACS.

12.39.Ki Relativistic quark model 14.40.-n Mesons 

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References

  1. 1.
    S. Ishida, K. Yamada, Phys. Rev. D 35, 265 (1987).CrossRefADSGoogle Scholar
  2. 2.
    F. Buisseret, C. Semay, Phys. Rev. D 72, 114004 (2005) [hep-ph/0505168]. CrossRefADSGoogle Scholar
  3. 3.
    A.Yu. Dubin, A.B. Kaidalov, Yu.A. Simonov, Phys. At. Nucl. 56, 1745 (1993)Google Scholar
  4. 4.
    E.L. Gubankova, A.Yu. Dubin, Phys. Lett. B 334, 180 (1994) [hep-ph/9408278].CrossRefADSGoogle Scholar
  5. 5.
    C. Semay, B. Silvestre-Brac, I.M. Narodetskii, Phys. Rev. D 69, 014003 (2004) [hep-ph/0309256].CrossRefADSGoogle Scholar
  6. 6.
    F. Buisseret, C. Semay, Phys. Rev. D 70, 077501 (2004) [hep-ph/0406216].CrossRefADSGoogle Scholar
  7. 7.
    D. LaCourse, M.G. Olsson, Phys. Rev. D 39, 2751 (1989).CrossRefADSGoogle Scholar
  8. 8.
    M.G. Olsson, S. Veseli, Phys. Rev. D 51, 3578 (1995).CrossRefADSGoogle Scholar
  9. 9.
    C. Semay, B. Silvestre-Brac, Phys. Rev. D 52, 6553 (1995).CrossRefADSGoogle Scholar
  10. 10.
    H. Sazdjian, Phys. Rev. D 33, 3401 (1986).CrossRefMathSciNetADSGoogle Scholar
  11. 11.
    B. Zwiebach, A first course in string theory (Cambridge University Press, 2004).Google Scholar
  12. 12.
    Y. Koma, E.M. Ilgenfritz, T. Suzuki, H. Toki, Phys. Rev. D 64, 014015 (2001) [hep-ph/0011165].CrossRefADSGoogle Scholar
  13. 13.
    V.L. Morgunov, A.V. Nefediev, A.Yu. Simonov, Phys. Lett. B 459, 653 (1999) [hep-ph/9906318].CrossRefADSGoogle Scholar
  14. 14.
    F. Buisseret, C. Semay, Phys. Rev. E 71, 026705 (2005) [hep-ph/0409033].CrossRefADSGoogle Scholar
  15. 15.
    T.J. Allen, M.G. Olsson, S. Veseli, Phys. Rev. D 59, 094011 (1999) [hep-ph/9810363].CrossRefADSGoogle Scholar
  16. 16.
    T.J. Allen, M.G. Olsson, S. Veseli, Phys. Rev. D 60, 074026 (1999) [hep-ph/9903222].CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2007

Authors and Affiliations

  1. 1.Groupe de Physique Nucléaire ThéoriqueUniversité de Mons-Hainaut, Académie universitaire Wallonie-BruxellesMonsBelgium

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