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.
Similar content being viewed by others
References
J. Erlich, E. Katz, D. T. Son, and M. A. Stephanov, Phys. Rev. Lett., 95, 261602 (2005).
L. Da Rold and A. Pomarol, Nucl. Phys. B, 721, 79–97 (2005).
S. S. Afonin, Internat. J. Mod. Phys. A, 25, 5683–5710 (2010); arXiv:1001.3105v2 [hep-ph] (2010).
T. Branz, T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D, 82, 074022 (2010); arXiv:1008.0268v2 [hep-ph] (2010)
T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D, 87, 056001 (2013).
J. Beringer et al. [Particle Data Group], Phys. Rev. D, 86, 010001 (2012).
A. Karch, E. Katz, D. T. Son, and M. A. Stephanov, Phys. Rev. D, 74, 015005 (2006); arXiv:hep-ph/0602229v2 (2006).
E. Witten, Adv. Theor. Math. Phys., 2, 253–291 (1998); arXiv:hep-th/9802150v2 (1998).
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B, 428, 105–114 (1998).
S. S. Afonin, Phys. Lett. B, 678, 477–480 (2009); arXiv:0902.3959v2 [hep-ph] (2009).
S. S. Afonin, Internat. J. Mod. Phys. A, 26, 3615–3623 (2011).
K. G. Chetirkin, S. Narison, and V. I. Zakharov, Nucl. Phys. B, 550, 353–374 (1999); arXiv:hep-ph/9811275v2 (1998)
F. V. Gubarev, L. Stodolsky, and V. I. Zakharov, Phys. Rev. Lett., 86, 2220–2222 (2001); arXiv:hepph/0010057v1 (2000)
F. V. Gubarev and V. I. Zakharov, Phys. Lett. B, 501, 28–36 (2001); arXiv:hep-ph/0010096v1 (2000)
K.-I. Kondo, Phys. Lett. B, 514, 335–345 (2001); arXiv:hep-th/0105299v1 (2001)
H. Verschelde, K. Knecht, K. Van Acoleyen, and M. Vanderkelen, Phys. Lett. B, 516, 307–313 (2001); arXiv:hep-th/ 0105018v1 (2001)
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)
E. R. Arriola, P. O. Bowman, and W. Broniowski Phys. Rev. D, 70, 097505 (2004).
S. Narison and V. I. Zakharov, Phys. Lett. B, 679, 355–361 (2009); arXiv:0906.4312v2 [hep-ph] (2009).
M. A. Shifman, A. I. Vainstein, and V. I. Zakharov, Nucl. Phys. B, 147, 385–447, 448 (1979).
I. R. Klebanov and E. Witten, Nucl. Phys. B, 556, 89–114 (1999); arXiv:hep-th/9905104v2 (1999).
A. Cherman, T. D. Cohen, and E. S. Werbos, Phys. Rev. C, 79, 045203 (2009); arXiv:0804.1096v3 [hep-ph] (2008).
L. J. Reinders, H. Rubinstein, and S. Yazaki, Phys. Rept., 127, 1–97 (1985).
S. S. Afonin, Phys. Lett. B, 576, 122–126 (2003); arXiv:hep-ph/0309337v1 (2003)
S. S. Afonin, Nucl. Phys. B, 779, 13–31 (2007); arXiv:hep-ph/0606291v3 (2006)
S. S. Afonin, A. A. Andrianov, V. A. Andrianov, and D. Espriu, JHEP, 0404, 039 (2004)
S. S. Afonin and D. Espriu, JHEP, 0609, 047 (2006); arXiv:hep-ph/0602219v3 (2006).
C. Lovelace, Phys. Lett. B, 28, 264–268 (1968)
C. Lovelace, J. A. Shapiro, Phys. Rev., 179, 1345–1353 (1969)
M. Ademollo, G. Veneziano, and S. Weinberg, Phys. Rev. Lett., 22, 83–85 (1969)
P. D. B. Collins, An Introduction to Regge Theory and High-Enegy Physics, Cambridge Univ. Press, Cambridge (1977).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 184, No. 3, pp. 427–436, September, 2015.
Rights and permissions
About this article
Cite this article
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
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11232-015-0333-8