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String deformations induced by retardation effects in mesons

  • Regular Article - Hadron Physics
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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.

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References

  1. S. Ishida, K. Yamada, Phys. Rev. D 35, 265 (1987).

    Article  ADS  Google Scholar 

  2. F. Buisseret, C. Semay, Phys. Rev. D 72, 114004 (2005) [hep-ph/0505168].

    Article  ADS  Google Scholar 

  3. A.Yu. Dubin, A.B. Kaidalov, Yu.A. Simonov, Phys. At. Nucl. 56, 1745 (1993)

    Google Scholar 

  4. E.L. Gubankova, A.Yu. Dubin, Phys. Lett. B 334, 180 (1994) [hep-ph/9408278].

    Article  ADS  Google Scholar 

  5. C. Semay, B. Silvestre-Brac, I.M. Narodetskii, Phys. Rev. D 69, 014003 (2004) [hep-ph/0309256].

    Article  ADS  Google Scholar 

  6. F. Buisseret, C. Semay, Phys. Rev. D 70, 077501 (2004) [hep-ph/0406216].

    Article  ADS  Google Scholar 

  7. D. LaCourse, M.G. Olsson, Phys. Rev. D 39, 2751 (1989).

    Article  ADS  Google Scholar 

  8. M.G. Olsson, S. Veseli, Phys. Rev. D 51, 3578 (1995).

    Article  ADS  Google Scholar 

  9. C. Semay, B. Silvestre-Brac, Phys. Rev. D 52, 6553 (1995).

    Article  ADS  Google Scholar 

  10. H. Sazdjian, Phys. Rev. D 33, 3401 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  11. B. Zwiebach, A first course in string theory (Cambridge University Press, 2004).

  12. Y. Koma, E.M. Ilgenfritz, T. Suzuki, H. Toki, Phys. Rev. D 64, 014015 (2001) [hep-ph/0011165].

    Article  ADS  Google Scholar 

  13. V.L. Morgunov, A.V. Nefediev, A.Yu. Simonov, Phys. Lett. B 459, 653 (1999) [hep-ph/9906318].

    Article  ADS  Google Scholar 

  14. F. Buisseret, C. Semay, Phys. Rev. E 71, 026705 (2005) [hep-ph/0409033].

    Article  ADS  Google Scholar 

  15. T.J. Allen, M.G. Olsson, S. Veseli, Phys. Rev. D 59, 094011 (1999) [hep-ph/9810363].

    Article  ADS  Google Scholar 

  16. T.J. Allen, M.G. Olsson, S. Veseli, Phys. Rev. D 60, 074026 (1999) [hep-ph/9903222].

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Groupe de Physique Nucléaire Théorique, Université de Mons-Hainaut, Académie universitaire Wallonie-Bruxelles, Place du Parc 20, BE-7000, Mons, Belgium

    F. Buisseret, V. Mathieu & C. Semay

Authors
  1. F. Buisseret
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  2. V. Mathieu
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  3. C. Semay
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Correspondence to F. Buisseret.

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V. Vento

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Buisseret, F., Mathieu, V. & Semay, C. String deformations induced by retardation effects in mesons. Eur. Phys. J. A 31, 213–220 (2007). https://doi.org/10.1140/epja/i2006-10188-3

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  • DOI: https://doi.org/10.1140/epja/i2006-10188-3

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