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Spectra of heavy mesons in the Bethe-Salpeter approach

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Abstract.

We present a calculation of the spectrum of charmonia, bottomonia and Bc-meson states with “ordinary” and exotic quantum numbers. We discuss the merits and limitations of a rainbow-ladder truncation of Dyson-Schwinger and Bethe-Salpeter equations and explore the effects of different shapes of the effective running coupling on ground and excited states in channels with quantum numbers \(J\le 3\). We furthermore discuss the status of the \(X(3872)\) as a potential (excited) quark-antiquark state and give predictions for the masses of charmonia and bottomonia in the tensor channels with \(J= 2, 3\).

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References

  1. N. Brambilla, S. Eidelman, B.K. Heltsley, R. Vogt, G.T. Bodwin, E. Eichten, A.D. Frawley, A.B. Meyer et al., Eur. Phys. J. C 71, 1534 (2011) arXiv:1010.5827 [hep-ph]

    Article  ADS  Google Scholar 

  2. G.V. Pakhlova, P.N. Pakhlov, S.I. Eidelman, Phys. Usp. 53, 219 (2010) (Usp. Fiz. Nauk 180

    Article  ADS  Google Scholar 

  3. for the BESIII Collaboration (J. Messchendorp), arXiv:1306.6611 [hep-ex]

  4. G.T. Bodwin, E. Braaten, E. Eichten, S.L. Olsen, T.K. Pedlar, J. Russ, arXiv:1307.7425 [hep-ph]

  5. S. Godfrey, N. Isgur, Phys. Rev. D 32, 189 (1985)

    Article  ADS  Google Scholar 

  6. D. Ebert, R.N. Faustov, V.O. Galkin, Phys. Rev. D 67, 014027 (2003) hep-ph/0210381

    Article  ADS  Google Scholar 

  7. D. Ebert, R.N. Faustov, V.O. Galkin, Eur. Phys. J. C 71, 1825 (2011) arXiv:1111.0454 [hep-ph]

    Article  ADS  Google Scholar 

  8. F.J. Llanes-Estrada, O.I. Pavlova, R. Williams, Eur. Phys. J. C 72, 2019 (2012) arXiv:1111.7087 [hep-ph]

    Article  ADS  Google Scholar 

  9. Y. Koma, M. Koma, H. Wittig, Phys. Rev. Lett. 97, 122003 (2006) hep-lat/0607009

    Article  ADS  Google Scholar 

  10. Y. Koma, M. Koma, Nucl. Phys. B 769, 79 (2007) hep-lat/0609078

    Article  ADS  MATH  Google Scholar 

  11. N. Brambilla, A. Pineda, J. Soto, A. Vairo, Rev. Mod. Phys. 77, 1423 (2005) hep-ph/0410047

    Article  ADS  Google Scholar 

  12. PACS-CS Collaboration (Y. Namekawa et al.), Phys. Rev. D 84, 074505 (2011) arXiv:1104.4600 [hep-lat]

    Article  Google Scholar 

  13. G.S. Bali, S. Collins, C. Ehmann, Phys. Rev. D 84, 094506 (2011) arXiv:1110.2381 [hep-lat]

    Article  ADS  Google Scholar 

  14. Hadron Spectrum Collaboration (L. Liu et al.), JHEP 07, 126 (2012) arXiv:1204.5425 [hep-ph]

    Google Scholar 

  15. G. Moir, M. Peardon, S.M. Ryan, C.E. Thomas, L. Liu, JHEP 05, 021 (2013) arXiv:1301.7670 [hep-ph]

    Article  ADS  Google Scholar 

  16. M. Kalinowski, M. Wagner, Acta Phys. Pol. B Proc. Suppl. 6, 991 (2013) arXiv:1304.7974 [hep-lat]

    Article  Google Scholar 

  17. S. Prelovsek, L. Leskovec, Phys. Rev. Lett. 111, 192001 (2013) arXiv:1307.5172 [hep-lat]

    Article  ADS  Google Scholar 

  18. S. Prelovsek, L. Leskovec, D. Mohler, arXiv:1310.8127 [hep-lat]

  19. D. Mohler, arXiv:1209.5790 [hep-lat]

  20. S. Prelovsek, arXiv:1310.4354 [hep-lat]

  21. M.S. Bhagwat, P. Maris, Phys. Rev. C 77, 025203 (2008) nucl-th/0612069

    Article  ADS  Google Scholar 

  22. M. Blank, A. Krassnigg, Phys. Rev. D 84, 096014 (2011) arXiv:1109.6509 [hep-ph]

    Article  ADS  Google Scholar 

  23. T. Hilger, C. Popovici, M. Gomez-Rocha, A. Krassnigg, arXiv:1409.3205 [hep-ph]

  24. C. Popovici, T. Hilger, M. Gomez-Rocha, A. Krassnigg, arXiv:1407.7970 [hep-ph]

  25. W. Heupel, G. Eichmann, C.S. Fischer, Phys. Lett. B 718, 545 (2012) arXiv:1206.5129 [hep-ph]

    Article  ADS  Google Scholar 

  26. C. Popovici, P. Watson, H. Reinhardt, Phys. Rev. D 81, 105011 (2010) arXiv:1003.3863 [hep-th]

    Article  ADS  Google Scholar 

  27. C. Popovici, P. Watson, H. Reinhardt, Phys. Rev. D 83, 125018 (2011) arXiv:1103.4786 [hep-ph]

    Article  ADS  Google Scholar 

  28. C. Popovici, C.S. Fischer, Phys. Rev. D 89, 116012 (2014) arXiv:1403.5900 [hep-ph]

    Article  ADS  Google Scholar 

  29. C.S. Fischer, S. Kubrak, R. Williams, Eur. Phys. J. A 50, 126 (2014) arXiv:1406.4370 [hep-ph]

    Article  ADS  Google Scholar 

  30. J.E. Villate, D.S. Liu, J.E. Ribeiro, P.J. de A.Bicudo, Phys. Rev. D 47, 1145 (1993)

    Article  ADS  Google Scholar 

  31. P. Maris, P.C. Tandy, Phys. Rev. C 60, 055214 (1999) nucl-th/9905056

    Article  ADS  Google Scholar 

  32. R. Williams, arXiv:1404.2545 [hep-ph]

  33. R. Alkofer, W. Detmold, C.S. Fischer, P. Maris, Phys. Rev. D 70, 014014 (2004) hep-ph/0309077

    Article  ADS  Google Scholar 

  34. C.S. Fischer, D. Nickel, R. Williams, Eur. Phys. J. C 60, 47 (2009) arXiv:0807.3486 [hep-ph]

    Article  ADS  Google Scholar 

  35. S.M. Dorkin, L.P. Kaptari, T. Hilger, B. Kampfer, Phys. Rev. C 89, 034005 (2014) arXiv:1312.2721 [hep-ph]

    Article  ADS  Google Scholar 

  36. A.C. Aguilar, D. Binosi, D. Ibanez, J. Papavassiliou, Phys. Rev. D 89, 085008 (2014) arXiv:1312.1212 [hep-ph]

    Article  ADS  Google Scholar 

  37. A. Blum, M.Q. Huber, M. Mitter, L. von Smekal, Phys. Rev. D 89, 061703 (2014) arXiv:1401.0713 [hep-ph]

    Article  ADS  Google Scholar 

  38. G. Eichmann, R. Williams, R. Alkofer, M. Vujinovic, Phys. Rev. D 89, 105014 (2014) arXiv:1402.1365 [hep-ph]

    Article  ADS  Google Scholar 

  39. A. Cucchieri, A. Maas, T. Mendes, Phys. Rev. D 77, 094510 (2008) arXiv:0803.1798 [hep-lat]

    Article  ADS  Google Scholar 

  40. E. Rojas, B. El-Bennich, J.P.B.C. de Melo, arXiv:1407.3598 [nucl-th]

  41. M. Gomez-Rocha, T. Hilger, A. Krassnigg, arXiv:1408.1077 [hep-ph]

  42. M.S. Bhagwat, A. Holl, A. Krassnigg, C.D. Roberts, P.C. Tandy, Phys. Rev. C 70, 035205 (2004) nucl-th/0403012

    Article  ADS  Google Scholar 

  43. P. Watson, W. Cassing, P.C. Tandy, Few-Body Syst. 35, 129 (2004) hep-ph/0406340

    ADS  Google Scholar 

  44. C.S. Fischer, P. Watson, W. Cassing, Phys. Rev. D 72, 094025 (2005) hep-ph/0509213

    Article  ADS  Google Scholar 

  45. C.S. Fischer, R. Williams, Phys. Rev. D 78, 074006 (2008) arXiv:0808.3372 [hep-ph]

    Article  ADS  Google Scholar 

  46. C.S. Fischer, R. Williams, Phys. Rev. Lett. 103, 122001 (2009) arXiv:0905.2291 [hep-ph]

    Article  ADS  Google Scholar 

  47. L. Chang, C.D. Roberts, Phys. Rev. Lett. 103, 081601 (2009) arXiv:0903.5461 [nucl-th]

    Article  ADS  MathSciNet  Google Scholar 

  48. W. Heupel, T. Goecke, C.S. Fischer, Eur. Phys. J. A 50, 85 (2014) arXiv:1402.5042 [hep-ph]

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institut für Theoretische Physik, Justus-Liebig-Universität Giessen, 35392, Giessen, Germany

    Christian S. Fischer, Stanislav Kubrak & Richard Williams

Authors
  1. Christian S. Fischer
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  2. Stanislav Kubrak
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  3. Richard Williams
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Correspondence to Christian S. Fischer.

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Communicated by R. Alkofer

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Fischer, C., Kubrak, S. & Williams, R. Spectra of heavy mesons in the Bethe-Salpeter approach. Eur. Phys. J. A 51, 10 (2015). https://doi.org/10.1140/epja/i2015-15010-7

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  • DOI: https://doi.org/10.1140/epja/i2015-15010-7

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