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Is Z b (10610) a molecular state?

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Abstract

Whether molecular states indeed exist in nature has been disputed for a long time. Several new resonances have been observed in the recent experiments and they seem to be of exotic structures and some of them have been proposed to be molecular states. The very recent observation of Z b (10610)[(10608.4 ± 2.0) MeV] and Z b (10650)[(10653.2 ± 1.5) MeV] encourages the interpretation of multi-quark states. In the Beter-Salpeter (BS) approach, we study the possibility if two heavy mesons can form a molecular state by exchanging light mesons. Our results indicate that two heavy mesons can form an isospin singlet (I = 0) bound state but cannot form an isospin triplet (I = 1) when the contribution of σ- exchange is reasonably small, i.e. as the coupling of σ with mesons gσ takes the value given in previous literatures. Thus we conclude that the newly observed Z b (10610) should not be a molecular state, but a tetraquark state instead, at most, the fraction of the molecular state in the physical resonance Z b (10610) is tiny.

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References

  1. M. Gell-Mann, A schematic model of baryons and mesons, Phys. Lett. 8 (1964) 214 [INSPIRE].

    Article  ADS  Google Scholar 

  2. N.N. Achasov, Radiative decays of \( \phi \) meson about nature of light scalar resonances, Phys. Atom. Nucl. 67 (2004) 1529 [Yad. Fiz. 67 (2004) 1552] [hep-ph/0309118] [INSPIRE].

    Article  ADS  Google Scholar 

  3. R. Jaffe, Multi-quark hadrons. 1. The phenomenology of (2 quark 2 anti-quark) mesons, Phys. Rev. D 15 (1977) 267 [INSPIRE].

    ADS  Google Scholar 

  4. M.G. Alford and R. Jaffe, Insight into the scalar mesons from a lattice calculation, Nucl. Phys. B 578 (2000) 367 [hep-lat/0001023] [INSPIRE].

    Article  ADS  Google Scholar 

  5. J.D. Weinstein and N. Isgur, Do multi-quark hadrons exist?, Phys. Rev. Lett. 48 (1982) 659 [INSPIRE].

    Article  ADS  Google Scholar 

  6. J.D. Weinstein and N. Isgur, The \( qq\bar{q}\bar{q} \) system in a potential model, Phys. Rev. D 27 (1983) 588 [INSPIRE].

    ADS  Google Scholar 

  7. S. Godfrey and N. Isgur, Mesons in a relativized quark model with chromodynamics, Phys. Rev. D 32 (1985) 189 [INSPIRE].

    ADS  Google Scholar 

  8. J.D. Weinstein and N. Isgur, \( K\bar{K} \) molecules, Phys. Rev. D 41 (1990) 2236 [INSPIRE].

    ADS  Google Scholar 

  9. V. Anisovich, A. Sarantsev, A. Kondashov, Y. Prokoshkin and S. Sadovsky, Two resonance structure of the (IJ P C = 00++)ππ-amplitude in a mass region around 1 GeV, Phys. Lett. B 355 (1995) 363 [INSPIRE].

    ADS  Google Scholar 

  10. N.A. Törnqvist and M. Roos, Resurrection of the σ meson, Phys. Rev. Lett. 76 (1996) 1575 [hep-ph/9511210] [INSPIRE].

    Article  ADS  Google Scholar 

  11. B. El-Bennich, O. Leitner, J.-P. Dedonder and B. Loiseau, The scalar meson f 0(980) in heavy-meson decays, Phys. Rev. D 79 (2009) 076004 [ar**v:0810.5771] [INSPIRE].

    ADS  Google Scholar 

  12. CLEO collaboration, J. Yelton et al., Absolute branching fraction measurements for exclusive D s semileptonic decays, Phys. Rev. D 80 (2009) 052007 [ar**v:0903.0601] [INSPIRE].

    ADS  Google Scholar 

  13. H.-W. Ke, X.-Q. Li and Z.-T. Wei, Whether new data on \( {D_s} \to {f_0}\left( {980} \right){e^{+} }{\nu_e} \) can be understood if f 0(980) consists of only the conventional \( q{ }\bar{q} \) structure, Phys. Rev. D 80 (2009) 074030 [ar**v:0907.5465] [INSPIRE].

    ADS  Google Scholar 

  14. Belle collaboration, S.K. Choi et al., Observation of a narrow charmonium-like state in exclusive \( {B^\pm } \to {K^\pm }{\pi^{+} }{\pi^{-} }J/\psi \) decays, Phys. Rev. Lett. 91 (2003) 262001 [hep-ex/0309032] [INSPIRE].

    Article  ADS  Google Scholar 

  15. Belle collaboration, K. Abe et al., Observation of a charmonium like state produced in association with a \( J/\psi \) in e + e annihilation at \( \sqrt {s} \approx 10.6{ }GeV \), Phys. Rev. Lett. 98 (2007) 082001 [hep-ex/0507019] [INSPIRE].

    Article  ADS  Google Scholar 

  16. Belle collaboration, S.K. Choi et al., Observation of a near-threshold \( \omega J/\psi \) mass enhancement in exclusive \( B \to K\omega J/\psi \) decays, Phys. Rev. Lett. 94 (2005) 182002 [hep-ex/0408126] [INSPIRE].

    Article  ADS  Google Scholar 

  17. Belle collaboration, S.K. Choi et al., Observation of a resonance-like structure in the \( {\pi^\pm }\psi \prime \) mass distribution in exclusive \( B \to K{\pi^\pm }\psi \prime \) decays, Phys. Rev. Lett. 100 (2008) 142001 [ar**v:0708.1790] [INSPIRE].

    Article  ADS  Google Scholar 

  18. Belle collaboration, I. Adachi et al., Observation of two charged bottomonium-like resonances, ar**v:1105.4583 [INSPIRE].

  19. J.-R. Zhang, M. Zhong and M.-Q. Huang, Could Z b (10610) be a \( {B^* }\bar{B} \) molecular state?, Phys. Lett. B 704 (2011) 312 [ar**v:1105.5472] [INSPIRE].

    ADS  Google Scholar 

  20. Z.-F. Sun, J. He, X. Liu, Z.-G. Luo and S.-L. Zhu, Z b (10610)± and Z b (10650)± as the \( {B^* }\bar{B} \) and \( {B^* }{\bar{B}^* } \) molecular states, Phys. Rev. D 84 (2011) 054002 [ar**v:1106.2968] [INSPIRE].

    ADS  Google Scholar 

  21. A.E. Bondar, A. Garmash, A.I. Milstein, R. Mizuk and M.B. Voloshin, Heavy quark spin structure in Z b resonances, Phys. Rev. D 84 (2011) 054010 [ar**v:1105.4473] [INSPIRE].

    ADS  Google Scholar 

  22. M. Cleven, F.-K. Guo, C. Hanhart and U.-G. Meissner, Bound state nature of the exotic Z b states, Eur. Phys. J. A 47 (2011) 120 [ar**v:1107.0254] [INSPIRE].

    ADS  Google Scholar 

  23. F.S. Navarra, M. Nielsen and J.-M. Richard, Exotic charmonium and bottomonium-like resonances, J. Phys. Conf. Ser. 348 (2012) 012007 [ar**v:1108.1230] [INSPIRE].

    Article  ADS  Google Scholar 

  24. X.-H. Guo and X.-H. Wu, Studying the scalar bound states of \( K\bar{K} \) system in Bethe-Salpeter formalism, Phys. Rev. D 76 (2007) 056004 [ar**v:0704.3105] [INSPIRE].

    ADS  Google Scholar 

  25. G.-Q. Feng, Z.-X. **e and X.-H. Guo, Possible \( B\bar{K} \) molecular structure of \( B_{s0}^* \)(5725) in the Bethe-Salpeter approach, Phys. Rev. D 83 (2011) 016003 [INSPIRE].

    ADS  Google Scholar 

  26. F. Gross, The relativistic few body problem. 1. Two-body equations, Phys. Rev. C 26 (1982) 2203 [INSPIRE].

    ADS  Google Scholar 

  27. T. Nieuwenhuis and J.A. Tjon, Nonperturbative study of generalized ladder graphs in a \( {\phi^2}\chi \) theory, Phys. Rev. Lett. 77 (1996) 814 [hep-ph/9606403] [INSPIRE].

    Article  ADS  Google Scholar 

  28. Y.-J. Zhang, H.-C. Chiang, P.-N. Shen and B.-S. Zou, Possible S-wave bound-states of two pseudoscalar mesons, Phys. Rev. D 74 (2006) 014013 [hep-ph/0604271] [INSPIRE].

    ADS  Google Scholar 

  29. H.-W. Ke, X.-Q. Li and X. Liu, \( {{B}^{{\left( * \right)}}}{{\overline B }^{{\left( * \right)}}} \) intermediate states contribution to \( \Upsilon \left( {4S,{ }5S} \right) \to {\eta_b} + \gamma \) radiative dacay, Phys. Rev. D 82 (2010) 054030 [ar**v:1006.1437] [INSPIRE].

    ADS  Google Scholar 

  30. H.-Y. Cheng, C.-K. Chua and A. Soni, Final state interactions in hadronic B decays, Phys. Rev. D 71 (2005) 014030 [hep-ph/0409317] [INSPIRE].

    ADS  Google Scholar 

  31. Particle Data Group collaboration, K. Nakamura et al., Review of particle physics, J. Phys. G 37 (2010) 075021 [INSPIRE].

    ADS  Google Scholar 

  32. R. Casalbuoni et al., Phenomenology of heavy meson chiral Lagrangians, Phys. Rept. 281 (1997) 145 [hep-ph/9605342] [INSPIRE].

    Article  ADS  Google Scholar 

  33. I.W. Lee, A. Faessler, T. Gutsche and V.E. Lyubovitskij, X(3872) as a molecular DD state in a potential model, Phys. Rev. D 80 (2009) 094005 [ar**v:0910.1009] [INSPIRE].

    ADS  Google Scholar 

  34. C. Meng and K.-T. Chao, Scalar resonance contributions to the dipion transition rates of \( \Upsilon \left( {4S,{ }5S} \right) \) in the re-scattering model, Phys. Rev. D 77 (2008) 074003 [ar**v:0712.3595] [INSPIRE].

    ADS  Google Scholar 

  35. A. Ali, C. Hambrock and W. Wang, Tetraquark interpretation of the charged bottomonium-like states \( Z_b^{ + - }\left( {10610} \right) \) and \( Z_b^{ + - }\left( {{1}0{65}0} \right) \) and implications, Phys. Rev. D 85 (2012) 054011 [ar**v:1110.1333] [INSPIRE].

    ADS  Google Scholar 

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Correspondence to Hong-Wei Ke.

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ArXiv ePrint: 1202.2178

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Ke, HW., Li, XQ., Shi, YL. et al. Is Z b (10610) a molecular state?. J. High Energ. Phys. 2012, 56 (2012). https://doi.org/10.1007/JHEP04(2012)056

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