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ρρN and ρρΔ molecules with JP = 5/2+ and JP = 7/2+

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Abstract

The ρρN and ρρΔ three-body systems have been studied within the framework of the fixed center approximation of Faddeev equation. The ρρ interaction in isospin I = 0 , spin S = 2 is strongly attractive, and so are the N ρ, ρΔ interactions. This leads to bound states of both ρρN and ρρΔ. We find peaks of the modulus squared of the scattering matrix around 2227 MeV for ρρN, and 2372 MeV for ρρΔ. Yet, the strength of the peak for the ρρN amplitude is much smaller than for ρρΔ, weakening the case for a ρρN bound state, or a dominant ρρN component. A discussion is made on how these states can be searched for in present programs looking for multimeson final states in different reactions.

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References

  1. S. Weinberg, Physica A 96, 327 (1979).

    Article  ADS  Google Scholar 

  2. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 465 (1985).

    Article  ADS  Google Scholar 

  3. G. Ecker, Prog. Part. Nucl. Phys. 35, 1 (1995).

    Article  ADS  Google Scholar 

  4. V. Bernard, N. Kaiser, U.-G. Meissner, Int. J. Mod. Phys. E 4, 193 (1995).

    Article  ADS  Google Scholar 

  5. N. Kaiser, P.B. Siegel, W. Weise, Phys. Lett. B 362, 23 (1995).

    Article  ADS  Google Scholar 

  6. E. Oset, A. Ramos, Nucl. Phys. A 635, 99 (1998).

    Article  ADS  Google Scholar 

  7. J.A. Oller, U.G. Meissner, Phys. Lett. B 500, 263 (2001).

    Article  ADS  Google Scholar 

  8. C. Garcia-Recio, J. Nieves, E. Ruiz Arriola, M.J. Vicente Vacas, Phys. Rev. D 67, 076009 (2003).

    Article  ADS  Google Scholar 

  9. T. Hyodo, S.I. Nam, D. Jido, A. Hosaka, Phys. Rev. C 68, 018201 (2003).

    Article  ADS  Google Scholar 

  10. E. Oset, A. Ramos, C. Bennhold, Phys. Lett. B 527, 99 (2002) (E) 530

    Article  ADS  Google Scholar 

  11. E.E. Kolomeitsev, M.F.M. Lutz, Phys. Lett. B 585, 243 (2004).

    Article  ADS  Google Scholar 

  12. S. Sarkar, E. Oset, M.J. Vicente Vacas, Nucl. Phys. A 750, 294 (2005).

    Article  ADS  Google Scholar 

  13. E. Oset, A. Ramos, Eur. Phys. J. A 44, 445 (2010).

    Article  ADS  Google Scholar 

  14. S. Sarkar, B.-X. Sun, E. Oset, M.J. Vicente Vacas, Eur. Phys. J. A 44, 431 (2010).

    Article  ADS  Google Scholar 

  15. O. Krehl, C. Hanhart, S. Krewald, J. Speth, Phys. Rev. C 62, 025207 (2000).

    Article  ADS  Google Scholar 

  16. A. Martinez Torres, K.P. Khemchandani, E. Oset, Phys. Rev. C 77, 042203 (2008).

    Article  ADS  Google Scholar 

  17. K.P. Khemchandani, A. Martinez Torres, E. Oset, Eur. Phys. J. A 37, 233 (2008).

    Article  Google Scholar 

  18. P. Gonzalez, E. Oset, J. Vijande, Phys. Rev. C 79, 025209 (2009).

    Article  ADS  Google Scholar 

  19. J.-J. Xie, A. Martinez Torres, E. Oset, P. Gonzalez, Phys. Rev. C 83, 055204 (2011).

    Article  ADS  Google Scholar 

  20. P. Gonzalez, J. Vijande, A. Valcarce, Phys. Rev. C 77, 065213 (2008).

    Article  ADS  Google Scholar 

  21. R. Molina, D. Nicmorus, E. Oset, Phys. Rev. D 78, 114018 (2008).

    Article  ADS  Google Scholar 

  22. R. Chand, R.H. Dalitz, Ann. Phys. (N.Y.) 20, 1 (1962).

    Article  ADS  Google Scholar 

  23. G. Toker, A. Gal, J.M. Eisenberg, Nucl. Phys. A 362, 405 (1981).

    Article  ADS  Google Scholar 

  24. S.S. Kamalov, E. Oset, A. Ramos, Nucl. Phys. A 690, 494 (2001).

    Article  ADS  Google Scholar 

  25. A. Gal, Int. J. Mod. Phys. A 22, 226 (2007).

    Article  ADS  Google Scholar 

  26. J.J. Xie, A. Martinez Torres, E. Oset, Phys. Rev. C 83, 065207 (2011).

    Article  ADS  Google Scholar 

  27. D. Jido, Y. Kanada-En’yo, Phys. Rev. C 78, 035203 (2008).

    Article  ADS  Google Scholar 

  28. M. Bayar, J. Yamagata-Sekihara, E. Oset, Phys. Rev. C 84, 015209 (2011).

    Article  ADS  Google Scholar 

  29. A. Dote, T. Hyodo, W. Weise, Nucl. Phys. A 804, 197 (2008).

    Article  ADS  Google Scholar 

  30. A. Dote, T. Hyodo, W. Weise, Phys. Rev. C 79, 014003 (2009).

    Article  ADS  Google Scholar 

  31. M. Bando, T. Kugo, K. Yamawaki, Phys. Rep. 164, 217 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  32. J. Yamagata-Sekihara, J. Nieves, E. Oset, Phys. Rev. D 83, 014003 (2011).

    Article  ADS  Google Scholar 

  33. L.S. Geng, E. Oset, Phys. Rev. D 79, 074009 (2009).

    Article  ADS  Google Scholar 

  34. L. Roca, E. Oset, Phys. Rev. D 82, 054013 (2010).

    Article  ADS  Google Scholar 

  35. J. Yamagata-Sekihara, L. Roca, E. Oset, Phys. Rev. D 82, 094017 (2010).

    Article  ADS  Google Scholar 

  36. D. Gamermann, J. Nieves, E. Oset, E. Ruiz Arriola, Phys. Rev. D 81, 014029 (2010).

    Article  ADS  Google Scholar 

  37. Mike Pennington, private communication

  38. Sebastian Neubert, talk at the Hadron2011 Conference, München, June 13-17, 2011

  39. Ken Hicks, private communication

  40. Particle Data Group (K. Nakamura et al.), J. Phys. G 37, 075021 (2010).

    Article  ADS  Google Scholar 

  41. R.E. Cutkosky, C.P. Forsyth, R.E. Hendrick, R.L. Kelly, Phys. Rev. D 20, 2839 (1979).

    Article  ADS  Google Scholar 

  42. G. Hoehler F. Kaiser. R. Koch, E. Pietarinen, Handbook of Pion-Nucleon Scattering (Fachinformationszentrum, Karlsruhe, 1979).

  43. R.A. Arndt, W.J. Briscoe, I.I. Strakovsky, R.L. Workman, Phys. Rev. C 74, 045205 (2006).

    Article  ADS  Google Scholar 

  44. S. Capstick, W. Roberts, Phys. Rev. D 47, 1994 (1993).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Apartado 22085, 46071, Valencia, Spain

    Bao-Xi Sun, Hua-Xing Chen & E. Oset

  2. Institute of Theoretical Physics, College of Applied Sciences, Beijing University of Technology, 100124, Beijing, China

    Bao-Xi Sun

  3. School of Physics and Nuclear Energy Engineering, Beihang University, 100191, Beijing, China

    Hua-Xing Chen

Authors
  1. Bao-Xi Sun
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  2. Hua-Xing Chen
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  3. E. Oset
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Correspondence to Bao-Xi Sun.

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Communicated by A. Ramos

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Sun, BX., Chen, HX. & Oset, E. ρρN and ρρΔ molecules with JP = 5/2+ and JP = 7/2+ . Eur. Phys. J. A 47, 127 (2011). https://doi.org/10.1140/epja/i2011-11127-y

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  • DOI: https://doi.org/10.1140/epja/i2011-11127-y

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