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Quark masses and the meson spectrum: A holographic approach

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Abstract

Based on experimental data, we can assume that the radial spectrum of vector mesons with a hidden quark flavor has a Regge form and propose its concrete form. The parameters of the Regge spectrum turn out to depend strongly on the mass of the quarks forming the mesons. We consider the problem of finding the form of these dependences in the framework of the holographic approach to strong interactions. The obtained results agree well with the phenomenology and with models of Veneziano-like dual amplitudes.

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References

  1. J. Erlich, E. Katz, D. T. Son, and M. A. Stephanov, Phys. Rev. Lett., 95, 261602 (2005).

    Article  ADS  Google Scholar 

  2. L. Da Rold and A. Pomarol, Nucl. Phys. B, 721, 79–97 (2005).

    Article  ADS  MATH  Google Scholar 

  3. S. S. Afonin, Internat. J. Mod. Phys. A, 25, 5683–5710 (2010); arXiv:1001.3105v2 [hep-ph] (2010).

    Article  ADS  MATH  Google Scholar 

  4. T. Branz, T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D, 82, 074022 (2010); arXiv:1008.0268v2 [hep-ph] (2010)

    Article  ADS  Google Scholar 

  5. T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D, 87, 056001 (2013).

    Article  ADS  Google Scholar 

  6. J. Beringer et al. [Particle Data Group], Phys. Rev. D, 86, 010001 (2012).

    Article  ADS  Google Scholar 

  7. A. Karch, E. Katz, D. T. Son, and M. A. Stephanov, Phys. Rev. D, 74, 015005 (2006); arXiv:hep-ph/0602229v2 (2006).

    Article  ADS  Google Scholar 

  8. E. Witten, Adv. Theor. Math. Phys., 2, 253–291 (1998); arXiv:hep-th/9802150v2 (1998).

    MathSciNet  ADS  MATH  Google Scholar 

  9. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B, 428, 105–114 (1998).

    Article  MathSciNet  ADS  Google Scholar 

  10. S. S. Afonin, Phys. Lett. B, 678, 477–480 (2009); arXiv:0902.3959v2 [hep-ph] (2009).

    Article  ADS  Google Scholar 

  11. S. S. Afonin, Internat. J. Mod. Phys. A, 26, 3615–3623 (2011).

    Article  ADS  MATH  Google Scholar 

  12. K. G. Chetirkin, S. Narison, and V. I. Zakharov, Nucl. Phys. B, 550, 353–374 (1999); arXiv:hep-ph/9811275v2 (1998)

    Article  ADS  Google Scholar 

  13. F. V. Gubarev, L. Stodolsky, and V. I. Zakharov, Phys. Rev. Lett., 86, 2220–2222 (2001); arXiv:hepph/0010057v1 (2000)

    Article  ADS  Google Scholar 

  14. F. V. Gubarev and V. I. Zakharov, Phys. Lett. B, 501, 28–36 (2001); arXiv:hep-ph/0010096v1 (2000)

    Article  ADS  MATH  Google Scholar 

  15. K.-I. Kondo, Phys. Lett. B, 514, 335–345 (2001); arXiv:hep-th/0105299v1 (2001)

    Article  ADS  MATH  Google Scholar 

  16. H. Verschelde, K. Knecht, K. Van Acoleyen, and M. Vanderkelen, Phys. Lett. B, 516, 307–313 (2001); arXiv:hep-th/ 0105018v1 (2001)

    Article  ADS  MATH  Google Scholar 

  17. P. Boucaud, A. L. Yaouanc, J. P. Leroy, J. Micheli, O. Pène, and J. Rodríguez-Quintero, Phys. Rev. D, 63, 114003 (2001); arXiv:hep-ph/0101302v2 (2001)

    Article  ADS  Google Scholar 

  18. E. R. Arriola, P. O. Bowman, and W. Broniowski Phys. Rev. D, 70, 097505 (2004).

    Article  ADS  Google Scholar 

  19. S. Narison and V. I. Zakharov, Phys. Lett. B, 679, 355–361 (2009); arXiv:0906.4312v2 [hep-ph] (2009).

    Article  ADS  Google Scholar 

  20. M. A. Shifman, A. I. Vainstein, and V. I. Zakharov, Nucl. Phys. B, 147, 385–447, 448 (1979).

    Article  ADS  Google Scholar 

  21. I. R. Klebanov and E. Witten, Nucl. Phys. B, 556, 89–114 (1999); arXiv:hep-th/9905104v2 (1999).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. A. Cherman, T. D. Cohen, and E. S. Werbos, Phys. Rev. C, 79, 045203 (2009); arXiv:0804.1096v3 [hep-ph] (2008).

    Article  ADS  Google Scholar 

  23. L. J. Reinders, H. Rubinstein, and S. Yazaki, Phys. Rept., 127, 1–97 (1985).

    Article  ADS  Google Scholar 

  24. S. S. Afonin, Phys. Lett. B, 576, 122–126 (2003); arXiv:hep-ph/0309337v1 (2003)

    Article  ADS  Google Scholar 

  25. S. S. Afonin, Nucl. Phys. B, 779, 13–31 (2007); arXiv:hep-ph/0606291v3 (2006)

    Article  ADS  Google Scholar 

  26. S. S. Afonin, A. A. Andrianov, V. A. Andrianov, and D. Espriu, JHEP, 0404, 039 (2004)

    Article  ADS  Google Scholar 

  27. S. S. Afonin and D. Espriu, JHEP, 0609, 047 (2006); arXiv:hep-ph/0602219v3 (2006).

    Article  MathSciNet  ADS  Google Scholar 

  28. C. Lovelace, Phys. Lett. B, 28, 264–268 (1968)

    Article  ADS  Google Scholar 

  29. C. Lovelace, J. A. Shapiro, Phys. Rev., 179, 1345–1353 (1969)

    Article  Google Scholar 

  30. M. Ademollo, G. Veneziano, and S. Weinberg, Phys. Rev. Lett., 22, 83–85 (1969)

    Article  ADS  Google Scholar 

  31. P. D. B. Collins, An Introduction to Regge Theory and High-Enegy Physics, Cambridge Univ. Press, Cambridge (1977).

    Book  Google Scholar 

Download references

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Correspondence to S. S. Afonin.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 184, No. 3, pp. 427–436, September, 2015.

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Afonin, S.S., Pusenkov, I.V. Quark masses and the meson spectrum: A holographic approach. Theor Math Phys 184, 1263–1270 (2015). https://doi.org/10.1007/s11232-015-0333-8

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