Advertisement

States of \(\rho D^* \bar D^*\) with J = 3 within the fixed center approximation to the Faddeev equations

  • M. BayarEmail author
  • Xiu-Lei Ren
  • E. Oset
Regular Article - Theoretical Physics

Abstract

We study the interaction of ρ, D * and \(\bar D^*\) with spins aligned using the fixed center approximation to the Faddeev equations. We select a cluster of \(D^* \bar D^*\), which is found to be bound in I = 0 and can be associated to the X(3915), and let the ρ meson orbit around the D * and \(\bar D^*\). In this case we find an I = 1 state with mass around 4340 MeV and narrow width of about 50 MeV. We also investigate the case with a cluster of ρD * and let the \(\bar D^*\) orbit around the system of the two states. The ρD * cluster is also found to bind and leads to the D 2 * state. The addition of the extra \(\bar D^*\) produces further binding and we find, with admitted uncertainties, a state of I = 0 around 4000 MeV, and a less bound narrow state with I = 1 around 4200 MeV.

Keywords

Form Factor Systematic Uncertainty Couple Channel Faddeev Equation Hide Gauge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    L.D. Faddeev, Sov. Phys. JETP 12, 1014 (1961) (Zh. Eksp. Teor. Fiz. 39.MathSciNetGoogle Scholar
  2. 2.
    S. Weinberg, Phys. Rev. 166, 1568 (1968).CrossRefADSGoogle Scholar
  3. 3.
    J. Gasser, H. Leutwyler, Ann. Phys. 158, 142 (1984).CrossRefADSMathSciNetGoogle Scholar
  4. 4.
    V. Bernard, N. Kaiser, U.G. Meissner, Int. J. Mod. Phys. E 4, 193 (1995) hep-ph/9501384.CrossRefADSGoogle Scholar
  5. 5.
    A. Martinez Torres, K.P. Khemchandani, E. Oset, Phys. Rev. C 77, 042203 (2008) arXiv:0706.2330 [nucl-th].CrossRefADSGoogle Scholar
  6. 6.
    A. Martinez Torres, K.P. Khemchandani, L.S. Geng, M. Napsuciale, E. Oset, Phys. Rev. D 78, 074031 (2008) arXiv:0801.3635 [nucl-th].CrossRefADSGoogle Scholar
  7. 7.
    A. Martinez Torres, K.P. Khemchandani, D. Gamermann, E. Oset, Phys. Rev. D 80, 094012 (2009) arXiv:0906.5333 [nucl-th].CrossRefADSGoogle Scholar
  8. 8.
    A. Martinez Torres, E.J. Garzon, E. Oset, L.R. Dai, Phys. Rev. D 83, 116002 (2011) arXiv:1012.2708 [hep-ph].CrossRefADSGoogle Scholar
  9. 9.
    M. Bayar, E. Oset, Nucl. Phys. A 883, 57 (2012) arXiv:1203.5313 [nucl-th].CrossRefADSGoogle Scholar
  10. 10.
    M. Bayar, J. Yamagata-Sekihara, E. Oset, Phys. Rev. C 84, 015209 (2011) arXiv:1102.2854 [hep-ph].CrossRefADSGoogle Scholar
  11. 11.
    G. Toker, A. Gal, J.M. Eisenberg, Nucl. Phys. A 362, 405 (1981).CrossRefADSGoogle Scholar
  12. 12.
    A. Gal, Int. J. Mod. Phys. A 22, 226 (2007) nucl-th/0607067.CrossRefADSGoogle Scholar
  13. 13.
    J.J. Xie, A. Martinez Torres, E. Oset, P. Gonzalez, Phys. Rev. C 83, 055204 (2011) arXiv:1101.1722 [nucl-th].CrossRefADSGoogle Scholar
  14. 14.
    J.J. Xie, A. Martinez Torres, E. Oset, Phys. Rev. C 83, 065207 (2011) arXiv:1010.6164 [nucl-th].CrossRefADSGoogle Scholar
  15. 15.
    D. Jido, Y. Kanada-En'yo, Phys. Rev. C 78, 035203 (2008) arXiv:0806.3601 [nucl-th].CrossRefADSGoogle Scholar
  16. 16.
    A. Martinez Torres, K.P. Khemchandani, E. Oset, Phys. Rev. C 79, 065207 (2009) arXiv:0812.2235 [nucl-th].CrossRefADSGoogle Scholar
  17. 17.
    A. Martinez Torres, D. Jido, Phys. Rev. C 82, 038202 (2010) arXiv:1008.0457 [nucl-th].CrossRefADSGoogle Scholar
  18. 18.
    R. Molina, D. Nicmorus, E. Oset, Phys. Rev. D 78, 114018 (2008) arXiv:0809.2233 [hep-ph].CrossRefADSGoogle Scholar
  19. 19.
    L.S. Geng, E. Oset, Phys. Rev. D 79, 074009 (2009) arXiv:0812.1199 [hep-ph].CrossRefADSGoogle Scholar
  20. 20.
    L. Roca, E. Oset, Phys. Rev. D 82, 054013 (2010) arXiv:1005.0283 [hep-ph].CrossRefADSGoogle Scholar
  21. 21.
    J. Yamagata-Sekihara, L. Roca, E. Oset, Phys. Rev. D 82, 094017 (2010) 85.CrossRefADSGoogle Scholar
  22. 22.
    C.W. Xiao, M. Bayar, E. Oset, Phys. Rev. D 86, 094019 (2012) arXiv:1207.4030 [hep-ph].CrossRefADSGoogle Scholar
  23. 23.
    R. Molina, E. Oset, Phys. Rev. D 80, 114013 (2009) arXiv:0907.3043 [hep-ph].CrossRefADSGoogle Scholar
  24. 24.
    R. Molina, H. Nagahiro, A. Hosaka, E. Oset, Phys. Rev. D 80, 014025 (2009) arXiv:0903.3823 [hep-ph].CrossRefADSGoogle Scholar
  25. 25.
    M. Bando, T. Kugo, K. Yamawaki, Phys. Rep. 164, 217 (1988).CrossRefADSMathSciNetGoogle Scholar
  26. 26.
    M. Bando, T. Kugo, S. Uehara, K. Yamawaki, T. Yanagida, Phys. Rev. Lett. 54, 1215 (1985).CrossRefADSGoogle Scholar
  27. 27.
    U.G. Meissner, Phys. Rep. 161, 213 (1988).CrossRefADSGoogle Scholar
  28. 28.
    F. Mandl, G. Shaw, Quantum Field Theory (Wiley-Interscience, New York, 1984).Google Scholar
  29. 29.
    J. Yamagata-Sekihara, J. Nieves, E. Oset, Phys. Rev. D 83, 014003 (2011) arXiv:1007.3923 [hep-ph].CrossRefADSGoogle Scholar
  30. 30.
    K.P. Khemchandani, A. Martinez Torres, E. Oset, Eur. Phys. J. A 37, 233 (2008) arXiv:0804.4670 [nucl-th].CrossRefADSGoogle Scholar
  31. 31.
    A. Martinez Torres, K.P. Khemchandani, E. Oset, Phys. Rev. C 79, 065207 (2009) arXiv:0812.2235 [nucl-th].CrossRefADSGoogle Scholar
  32. 32.
    David J. Griffiths, Introduction to Quantum Mechanics (Pearson Prentice Hall, 2004). .Google Scholar
  33. 33.
    L. Roca, Phys. Rev. D 84, 094006 (2011) arXiv:1107.5489 [hep-ph].CrossRefADSGoogle Scholar
  34. 34.
    J.J. Wu, R. Molina, E. Oset, B.S. Zou, Phys. Rev. C 84, 015202 (2011) arXiv:1011.2399 [nucl-th].CrossRefADSGoogle Scholar
  35. 35.
    C. Garcia-Recio, J. Nieves, O. Romanets, L.L. Salcedo, L. Tolos, Phys. Rev. D 87, 074034 (2013) arXiv:1302.6938 [hep-ph].CrossRefADSGoogle Scholar
  36. 36.
    S.G. Yuan, K.W. Wei, J. He, H.S. Xu, B.S. Zou, Eur. Phys. J. A 48, 61 (2012) arXiv:1201.0807 [nucl-th].CrossRefADSGoogle Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of PhysicsKocaeli UniversityIzmitTurkey
  2. 2.Departamento de Física Teórica and IFICCentro Mixto Universidad de Valencia-CSIC Institutos de Investigación de PaternaValenciaSpain
  3. 3.School of Physics and Nuclear Energy Engineering and International Research Center for Nuclei and Particles in the CosmosBeihang UniversityBeijingChina

Personalised recommendations