On Asymptotic Regge Trajectories of Heavy Meson Resonances


  • K.A. Bugaev Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
  • E.G. Nikonov Laboratory for Information Technologies, Joint Institute for Nuclear Research
  • A.S. Sorin Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research
  • G.M. Zinovjev Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine






We performed the analysis of the asymptotic behavior of Regge trajectories of nonstrange and strange mesons and found that the
width of heavy hadrons for these trajectories cannot linearly depend on their mass. Such a finding clearly demonstrates that a widely spread belief on the linear mass dependence of the resonance width contradicts the linearity of Regge trajectories on the
Mandelstam variable s. Using the data on masses and widths for ρJ––, ωJ––, aJ++,, and fJ++mesons with the spin values J ≤ 6 and for K*J mesons with J ≤ 5, we extracted the parameters of the asymptotically linear Regge trajectories predicted by the finite-width model of quark gluon bags. It is shown that the parameters obtained for the data sets B and D are consistent with the cross-over temperature
determined by the lattice QCD simulations at the vanishing baryonic density and with the kinetic freeze-out temperature of early hadronizing particles found in relativistic heavy ion collisions at and above the highest SPS energy. Comparing the resonance width of sets B and D evaluated at the masses of Z and W bosons, respectively, we discovered that the calculated width values match that of the gauge bosons. We argue that such matches provide us with indirect, but the first experimental evidence for the compositeness of Z and W bosons. Based on these findings, we assume that Z,  W, and Higgs bosons have the Regge trajectories which are similar to the asymptotic trajectories of the studied mesons. The predictions for the masses and widths of the Regge partners of Z and W bosons and for the mass dependence of the widths of Higgs boson Regge partners along with the values for the mass and width of the scalar Higgs mesons are made as well.


G.F. Chew and S.C. Frautschi, Phys. Rev. Lett. 7, 394 (1961)


V.N. Gribov, ZhETF 41, 667 (1961).


A. Dubin, A.B. Kaidalov, and Yu. Simonov, Phys. Lett. B 323, 41 (1994).


A.B. Kaidalov and Yu.A. Simonov, Phys. Lett. B 477, 163 (2000).


see a detailed discussion in A. Tang and J.W. Norbury, Phys. Rev. D 62, 016006 (2000).

more references can be found in M. Ida, Prog. Theor. Phys. 40, 901 (1968)

R.W. Childers, Phys. Rev. Lett. 21, 868 (1968).


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


A.A. Trushevsky, Asymptotical Behavior of Bosonic Regge Trajectories (Russ.) Ukr. J. Phys. 22, 353 (1977).

K.A. Bugaev, V.K. Petrov, and G.M. Zinovjev, Phys. Rev. C 79, 054913 (2009); K.A. Bugaev and G.M. Zinovjev, Ukr. J. Phys. 55, 586 (2010); and K.A. Bugaev, arXiv:0906.4273 [nucl-th].


K.A. Bugaev, V.K. Petrov, and G.M. Zinovjev, Europhys. Lett. 85, 22002 (2009); arXiv:0801.4869 [hep-ph]; K.A. Bugaev, arXiv:0809.1023 [nucl-th].


R. Hagedorn, Suppl. Nuovo Cimento 3, 147 (1965).

K.A. Bugaev, E.G. Nikonov, A.S. Sorin, and G.M. Zinovjev, JHEP 02, 059 (2011); arXiv:1012.0150 [hep-ph].


D.B. Blaschke and K.A. Bugaev, Fizika B 13, 491 (2004)

Phys. Part. Nucl. Lett. 2, 305 (2005).

C. Greiner and S. Leupold, J. Phys. G 27, L95 (2001).


C. Greiner et al., J. Phys. G 31, S725 (2005).


J. Noronha-Hostler, C. Greiner, and I.A. Shovkovy, Phys. Rev. Lett. 100, 252301 (2008); J. Phys. G 37, 094017 (2010); J. Noronha-Hostler, M. Beitel, C. Greiner, and I.A. Shovkovy, Phys. Rev. C 81, 054909 (2010); J. Noronha-Hostler and C. Greiner, arXiv:1008.5075 [nucl-th] and references therein.


W. Ehehalt and W. Cassing, Nucl. Phys. A 602, 449 (1996)


J. Geiss, W. Cassing, and C. Greiner, Nucl. Phys. A 644, 107 (1998)


W. Cassing and E.L. Bratkovskaya, Phys. Rep. 308, 65 (1999).


S.A. Bass et al., Prog. Part. Nucl. Phys. 41, 225 (1998).


F. Lizzi and I. Senda, Phys. Lett. B 244 27 (1990)


I. Senda, Phys. Lett. B 263 270 (1991)


F. Lizzi and I. Senda, Nucl. Phys. B 359 441 (1991).


W. Broniowski, W. Florkowski, and L.Y. Glozman, Phys. Rev. D 70, 117503 (2004).


see, for instance, P. Desgrolard, M. Giffon, E. Martynov, and E. Predazzi, Eur. Phys. J. C 18, 555 (2001) and references therein.


C. Amsler et al., Phys. Lett. B 667, 1 (2008) [http://pdg.lbl.gov].

A.B. Kaidalov, REGGE POLES IN QCD in At the Frontier of Particle Physics: Handbook of QCD, edited by M. Shifman (World Scientific,

Singapore, 2002) (arXiv:0103011 [hep-ph]).

L.Ya. Glozman, Acta Phys. Pol. B 35, 2985 (2004).

J. Engels, F. Karsch, J. Montway, and H. Satz, Nucl. Phys. B 205, 545 (1982).


T. Celik, J. Engels, and H. Satz, Nucl. Phys. B 256, 670 (1985).


M. Cheng et al., Phys. Rev. D 77, 014511 (2008).


P. Braun-Munzinger, D. Magestro, K. Redlich, and J. Stachel, Phys. Lett. B 518, 41 (2001).


J. Cleymans, B. Kämpfer, M. Kaneta, S. Wheaton, and N. Xu, Phys. Rev. C 71, 0409071 (2005).


K.A. Bugaev, M. Gazdzicki, and M.I. Gorenstein, Phys. Lett. B 523, 255 (2001)


K.A. Bugaev, J. Phys. G 28, 1981 (2002)


M.I. Gorenstein, K.A. Bugaev, and M. Gazdzicki, Phys. Rev. Lett. 88, 132301 (2002).


K.A. Bugaev, M. Gazdzicki, and M.I. Gorenstein, Phys. Rev. C 68, 017901 (2003); Phys. Lett. B 544, 127 (2002).


S.V. Akkelin, P. Braun-Munzinger, and Yu.M. Sinyukov, Phys. Rev. C 81, 034912 (2010).


P. Braun-Munzinger and J. Wambach, Rev. Mod. Phys. 81, 1031 (2009).


Y. Aoki et al., JHEP 06, 088 (2009).


A.A. Anselm and V.N. Gribov, Nucl. Phys. B 61, 253 (1973).


A.A. Anselm and M.G. Ryskin, Phys. Lett. B 329, 300 (1994).


E. Fahri and L. Susskind, Phys. Rep. 84, 277 (1981)


K. Yamawaki, Prog. Theor. Phys. Suppl. 167, 127 (2007).


V.A. Miransky and K. Yamawaki, Mod. Phys. Lett. A 4, 1043 (1989).


H. Fritzsch, arXiv:1010.1428 [hep-ph] 8 p.

A. Mocsy and P. Petreczky, PoS LAT2007 216 (2007).

The CMS Collaboration, Phys. Lett. B 698, 21 (2011); arXiv:1012.5945 [hep-ex].

The CMS Collaboration, arXiv:1103.0030 [hep-ex].

see a review M. Carena and H.E. Haber, Prog. Part. Nucl. Phys. 50, 63 (2003) and references therein.


J. Haller, arXiv:1006.003 [hep-ph].

E.V. Shuryak, arXiv:0807.3033 [hep-ph]. Prog. Part. Nucl. Phys. 62, 48 (2009).

I. Senda, Z. Phys. C 55, 331 (1992). https://doi.org/10.1007/BF01482597

see, for instance, A. Karch et al., Phys. Rev. D 74, 015005 (2006) and references therein.




How to Cite

Bugaev, K., Nikonov, E., Sorin, A., & Zinovjev, G. (2022). On Asymptotic Regge Trajectories of Heavy Meson Resonances. Ukrainian Journal of Physics, 56(7), 611. https://doi.org/10.15407/ujpe56.7.611



Fields and elementary particles