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Excited state mass spectra of singly charmed baryons

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Abstract.

Mass spectra of excited states of the singly charmed baryons are calculated using the hypercentral description of the three-body system. The baryons consist of a charm quark and light quarks (u, d and s) are studied in the framework of QCD motivated constituent quark model. The form of the confinement potential is hyper-Coloumb plus power potential with potential index \(\nu\), varying from 0.5 to 2.0. The first-order correction to the confinement potential is also incorporated in this approach. The radial as well as orbital excited state masses of \(\Sigma_{c}^{++}\), \(\Sigma_{c}^{+}\), \(\Sigma_{c}^{0}\), \(\Xi_{c}^{+}\), \(\Xi_{c}^{0}\), \(\Lambda_{c}^{+}\), \(\Omega_{c}^{0}\) baryons, are reported in this paper. We have incorporated spin-spin, spin-orbit and tensor interactions perturbatively in the present study. The semi-electronic decay of \(\Omega_{c}\) and \(\Xi_{c}\) are also calculated using the spectroscopic parameters of these baryons. The computed results are compared with other theoretical predictions as well as with the available experimental observations. We also construct the Regge trajectory in (\(n_{r}, M^{2}\)) and (\(J, M^{2}\)) planes for these baryons.

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References

  1. CDF Collaboration (T. Aaltonen et al.), Phys. Rev. D 84, 012003 (2011)

    Article  Google Scholar 

  2. CLEO Collaboration (M. Artiro et al.), Phys. Rev. Lett. 86, 4479 (2001)

    Article  Google Scholar 

  3. Belle Collaboration (R. Chistov et al.), Phys. Rev. Lett. 97, 162001 (2006)

    Article  Google Scholar 

  4. BaBar Collaboration (B. Aubert et al.), Phys. Rev. D 77, 012002 (2008)

    Article  Google Scholar 

  5. BaBar Collaboration (B. Aubert et al.), Phys. Rev. Lett. 99, 062001 (2007)

    Article  Google Scholar 

  6. Belle Collaboration (T. Lesiak et al.), Phys. Lett. B 665, 9 (2008)

    Article  ADS  Google Scholar 

  7. K.A. Olive et al., Chin. Phys. C 38, 090001 (2014)

    Article  ADS  Google Scholar 

  8. E.G. Cazzoli, A.M. Cnops, P.L. Connolly, R.I. Louttit et al., Phys. Rev. Lett. 34, 1125 (1975)

    Article  ADS  Google Scholar 

  9. B. Knapp et al., Phys. Rev. Lett. 37, 882 (1976)

    Article  ADS  Google Scholar 

  10. WA62 Collaboration (S.F. Biagi et al.), Z. Phys. C 28, 175 (1985)

    Google Scholar 

  11. P.P. Rubio, S. Collins, G.S. Baliy, Phys. Rev. D 92, 034504 (2015)

    Article  ADS  Google Scholar 

  12. R.M. Woloshyn, M. Wurtz, arXiv:1601.01925v1 [hep-ph] (2016)

  13. SELEX Collaboration (A. Ocherashvili et al.), Phys. Lett. B 628, 18 (2005)

    Article  ADS  Google Scholar 

  14. J. Vijande, A. Valcarce, H. Garcilazo, Phys. Rev. D 91, 054011 (2015)

    Article  ADS  Google Scholar 

  15. M. Padmanath, R.G. Edwards, N. Mathur, M. Peardon, Phys. Rev. D 90, 074504 (2014)

    Article  ADS  Google Scholar 

  16. H.-Y. Cheng, Front. Phys. 10, 101406 (2015)

    Article  Google Scholar 

  17. PANDA Collaboration (B. Singh), arXiv:1606.01118v1 (2016)

  18. V. Crede, W. Roberts, Rep. Prog. Phys. 76, 076301 (2013)

    Article  ADS  Google Scholar 

  19. L.-H. Liu, L.-Y. Xiao, X.-H. Zhong, Phys. Rev. D 86, 034024 (2012)

    Article  ADS  Google Scholar 

  20. N. Isgur, G. Karl, Phys. Rev. D 18, 4187 (1978)

    Article  ADS  Google Scholar 

  21. N. Isgur, G. Karl, Phys. Rev. D 19, 2653 (1979)

    Article  ADS  Google Scholar 

  22. N. Isgur, G. Karl, Phys. Rev. D 20, 1191 (1979)

    Article  ADS  Google Scholar 

  23. L.A. Copley, N. Isgur, G. Karl, Phys. Rev. D 20, 768 (1979)

    Article  ADS  Google Scholar 

  24. L.A. Copley, N. Isgur, G. Karl, Phys. Rev. D 23, 817 (1981)

    Article  ADS  Google Scholar 

  25. S. Capstick, N. Isgur, Phys. Rev. D 34, 2809 (1986)

    Article  ADS  Google Scholar 

  26. D. Ebert, R.N. Faustov, V.O. Galkin, Phys. Rev. D 84, 014025 (2011)

    Article  ADS  Google Scholar 

  27. W. Roberts, M. Pervin, Int. J. Mod. Phys. A 23, 2817 (2008)

    Article  ADS  Google Scholar 

  28. H. Garcilazo, J. Vijande, A. Valcarce, J. Phys. G 34, 961 (2007)

    Article  Google Scholar 

  29. A. Valcarce, H. Garcilazo, J. Vijande, Eur. Phys. J. A 37, 217 (2008)

    Article  ADS  Google Scholar 

  30. R. Bijker, F. Iachello, E. Santopinto, J. Phys. A 31, 9041 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  31. R. Bijker, F. Iachello, A. Leviatan, Ann. Phys. (N.Y.) 236, 69 (1994)

    Article  ADS  Google Scholar 

  32. L.Ya. Glozman, D.O. Riska, Phys. Rep. C 268, 263 (1996)

    Article  ADS  Google Scholar 

  33. U. Loring, K. Kretzschmar, B.Ch. Metsch, H.R. Petry, Eur. Phys. J. A 10, 309 (2001)

    Article  ADS  Google Scholar 

  34. E. Santopinto, Phys. Rev. C 72, 022201 (2005)

    Article  ADS  Google Scholar 

  35. R. Roncaglia, D.B. Lichtenberg, E. Predazzi, Phys. Rev. D 52, 1722 (1995)

    Article  ADS  Google Scholar 

  36. M. Ferraris, M.M. Giannini, M. Pizzo, E. Santopinto, L. Tiator, Phys. Lett. B 364, 231 (1995)

    Article  ADS  Google Scholar 

  37. E.E. Jenkins, Phys. Rev. D 54, 4515 (1996)

    Article  ADS  Google Scholar 

  38. H.-X. Chen, W. Chen, Q. Mao, A. Hosaka et al., Phys. Rev. D 91, 054034 (2015)

    Article  ADS  Google Scholar 

  39. J.P. Blanckenberg, H. Weigel, Phys. Lett. B 750, 230 (2015)

    Article  ADS  Google Scholar 

  40. X.-H. Zhong, Q. Zhao, Phys. Rev. D 77, 074008 (2008)

    Article  ADS  Google Scholar 

  41. Y. Namekawa, S. Aoki, K.-I. Ishikawa, N. Ishizuka, K. Kanaya, Y. Kuramashi et al., Phys. Rev. D 87, 094512 (2013)

    Article  ADS  Google Scholar 

  42. Z.S. Brown, W. Detmold, S. Meinel, K. Orginos, Phys. Rev. D 90, 094507 (2014)

    Article  ADS  Google Scholar 

  43. C. Alexandrou, V. Drach, K. Jansen, C. Kallidonis, G. Koutsou, Phys. Rev. D 90, 074501 (2014)

    Article  ADS  Google Scholar 

  44. M. Padmanath, N. Mathur, arXiv:1508.07168v1 [hep-lat] (2015)

  45. K.U. Can, G. Erkol, M. Oka, T.T. Takahashi, Phys. Rev. D 92, 114515 (2015)

    Article  ADS  Google Scholar 

  46. M.M. Giannini, E. Santopinto, Chin. J. Phys. 53, 020301 (2015)

    Google Scholar 

  47. B. Patel, A.K. Rai, P.C. Vinodkumar, Pramana J. Phys. 70, 797 (2008)

    Article  ADS  Google Scholar 

  48. B. Patel, A.K. Rai, P.C. Vinodkumar, J. Phys. G 35, 065001 (2008)

    Article  ADS  Google Scholar 

  49. K. Thakkar, B. Patel, A. Majethiya, P.C. Vinodkumar, Pramana J. Phys. 77, 1053 (2011)

    Article  ADS  Google Scholar 

  50. K. Thakkar, A. Majethiya, P.C. Vinodkumar, Chin. Phys. C 36, 385 (2012)

    Article  Google Scholar 

  51. A. Majethiya, P.C. Vinodkumar, Eur. Phys. J. A 42, 213 (2009)

    Article  ADS  Google Scholar 

  52. A. Majethiya, K. Thakkar, P.C. Vinodkumar, Chin. J Phys. 54, 495 (2016)

    Article  MathSciNet  Google Scholar 

  53. Z. Shah, K. Thakkar, A.K. Rai, P.C. Vinodkumar, DAE Symp. Nucl. Phys. 60, 688 (2015)

    Google Scholar 

  54. Z. Shah, K. Thakkar, A.K. Rai, P.C. Vinodkumar, AIP Conf. Proc. 1728, 020096 (2016)

    Article  Google Scholar 

  55. B. Chen, K.W. Wei, A. Zhang, Eur. Phys. J. A 51, 82 (2015)

    Article  ADS  Google Scholar 

  56. T. Yoshida, E. Hiyama, A. Hosaka, M. Oka, K. Sadato, Phys. Rev. D 92, 114029 (2015)

    Article  ADS  Google Scholar 

  57. R. Bijker, F. Iachello, A. Leviatan, Ann. Phys. 284, 89 (2000)

    Article  ADS  Google Scholar 

  58. M. Fabre de la Ripelle, J. Navarro, Ann. Phys. (N.Y.) 123, 185 (1979)

    Article  ADS  Google Scholar 

  59. M. Fabre de la Ripelle, H. Fiedeldey, S.A. Soanos, Phys. Rev. C 38, 449 (1988)

    Article  ADS  Google Scholar 

  60. P. Hasenfratz, R.R. Horgan, J. Kuti, J.M. Richard, Phys. Lett. B 94, 401 (1980)

    Article  ADS  Google Scholar 

  61. S. Miguraa, D. Merten, B. Metsch, H.R. Petry, Eur. Phys. J. A 28, 41 (2006)

    Article  ADS  Google Scholar 

  62. M. Ferraris, M.M. Giannini, M. Pizzo, E. Santopinto, L. Tiator, Phys. Lett. B 364, 231 (1995)

    Article  ADS  Google Scholar 

  63. Y. Koma, M. Koma, H. Wittig, Phys. Rev. Lett. 97, 122003 (2006)

    Article  ADS  Google Scholar 

  64. N. Devlani, V. Kher, A.K. Rai, Eur. Phys. J. A 50, 154 (2014)

    Article  ADS  Google Scholar 

  65. N. Devlani, V. Kher, A.K. Rai, EPJ Web of Conferences 95, 05006 (2015)

    Article  Google Scholar 

  66. V. Kher, N. Devlani, A.K. Rai, EPJ Web of Conferences 95, 05004 (2015)

    Article  Google Scholar 

  67. A.K. Rai, D.P. Rathaud, Eur. Phys. J. C 75, 462 (2015)

    Article  ADS  Google Scholar 

  68. D.P. Rathaud, A.K. Rai, EPJ Web of Conferences 95, 05013 (2015)

    Article  Google Scholar 

  69. R.A. Briceno, H.W. Lin, D.R. Bolton, Phys. Rev. D 86, 094504 (2012)

    Article  ADS  Google Scholar 

  70. M.B. Voloshin, Prog. Part. Nucl. Phys. 51, 455 (2008)

    Article  ADS  Google Scholar 

  71. Z. Ghalenovi, A.A. Rajabi, S. Qin, D.H. Rischke, Mod. Phys. Lett. A 29, 1450106 (2014)

    Article  ADS  Google Scholar 

  72. W. Lucha, F. Schoberls, Int. J. Mod. Phys. C 10, 607 (1999)

    Article  ADS  Google Scholar 

  73. S. Faller, T. Mannel, Phys. Lett. B 750, 653 (2015)

    Article  ADS  Google Scholar 

  74. H.Y. Cheng, C.Y. Cheung, G.L. Lin, Y.C. Lin, T.M. Yan, H.L. Yu, Phys. Rev. D 46, 5060 (1992)

    Article  ADS  Google Scholar 

  75. H.Y. Cheng, e-print arXiv:1508.07233v2 [hep-ph] (2015)

  76. N. Mathur, R. Lewis, R.M. Woloshyn, Phys. Rev. D 66, 014502 (2002)

    Article  ADS  Google Scholar 

  77. N.R. Soni, J.N. Pandya, DAE Symp. Nucl. Phys. 60, 694 (2015)

    Google Scholar 

  78. H.-Y. Cheng, C.-K. Chua, Phys. Rev. D 75, 014006 (2007)

    Article  ADS  Google Scholar 

  79. Z.G. Wang, Eur. Phys. J. A 47, 81 (2011)

    Article  ADS  Google Scholar 

  80. K. Azizi, H. Sundu, arXiv:1506.08440v1 [hep-ph] (2015)

  81. Y. Kato, arXiv:1605.09103v1 [hep-ex] (2016)

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Correspondence to Ajay Kumar Rai.

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Communicated by Shi-Lin Zhu

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Shah, Z., Thakkar, K., Kumar Rai, A. et al. Excited state mass spectra of singly charmed baryons. Eur. Phys. J. A 52, 313 (2016). https://doi.org/10.1140/epja/i2016-16313-9

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