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Mass spectra and decay properties of the \(c\bar{c}\) meson

  • Raghav Chaturvedi
  • Ajay Kumar Rai
Regular Article

Abstract.

In this article we present the result of \(c\bar{c}\) meson mass calculation by solving the Schrödinger equation numerically considering the Coulomb plus linear potential. The spin-hyperfine, spin-orbit and tensor components of one-gluon-exchange interactions are employed to obtain the mass spectra of \(c\bar{c}\) meson. The calculated mass spectra are compared with the latest results of PDG and are found to be in good accordance. The Regge trajectories of the calculated mass spectra have also been constructed. The values of the wave function are extracted and employed to calculate the leptonic decay constant, \(\gamma\gamma\), gg, \(e^{+}e^{-}\), light hadron (LH) and \(\gamma\gamma\gamma\) decay widths of S-wave \(0^{-+}\) and \(1^{- -}\) states of \(c\bar{c}\) meson, the widths have been calculated by Van Royen-Weisskopf formula and by NRQCD mechanism incorporating relativistic corrections of order \(\nu^{2}\). The \(\gamma\gamma\) and gg decay widths of \(\chi_{0}\) and \(\chi_{2}\) states of \(c\bar{c}\) meson have also been calculated. The calculated decay constants and widths have been compared with the experimental results.

References

  1. 1.
    BaBar Collaboration (B. Aubert et al.), Phys. Rev. Lett. 103, 161801 (2009)CrossRefGoogle Scholar
  2. 2.
    Belle Collaboration (K.F. Chen et al.), Phys. Rev. D 82, 091106(R) (2010)CrossRefGoogle Scholar
  3. 3.
    CLEO Collaboration (K.W. Edwards et al.), Phys. Rev. Lett. 86, 30 (2001)CrossRefGoogle Scholar
  4. 4.
    BESIII Collaboration (V. Ablikim et al.), Phys. Rev. Lett. 115, 011803 (2015)ADSCrossRefGoogle Scholar
  5. 5.
    PANDA Collaboration (W. Erni), arXiv:0903.3905 [hep-ex]Google Scholar
  6. 6.
    C. Hohne et al., Lect. Notes Phys. 814, 849 (2011)ADSCrossRefGoogle Scholar
  7. 7.
    PANDA Collaboration (B. Singh et al.), Phys. Rev. D 95, 032003 (2017) arXiv:1610.02149ADSCrossRefGoogle Scholar
  8. 8.
    PANDA Collaboration (B. Singh), Eur. Phys. J. A 52, 325 (2016)CrossRefGoogle Scholar
  9. 9.
    PANDA Collaboration (B. Singh et al.), Eur. Phys. J. A 51, 107 (2015)CrossRefGoogle Scholar
  10. 10.
    S.S. Godre, R. Dudhat, A.K. Rai, POS Hadron2013, 083 (2013)Google Scholar
  11. 11.
    U. Wiedner, Prog. Part. Nucl. Phys. 66, 477 (2011)ADSCrossRefGoogle Scholar
  12. 12.
    HPQCD Collaboration (C. McNielle et al.), Phys. Rev. D 86, 074503 (2012) arXiv:1207.0994 [hep-lat]CrossRefGoogle Scholar
  13. 13.
    J. Gasser, H. Leutwyler, Ann. Phys. 158, 142 (1984)ADSCrossRefGoogle Scholar
  14. 14.
    M. Neubert, Phys. Rep. 245, 259 (1994)ADSCrossRefGoogle Scholar
  15. 15.
    E. Veli Veliev, K. Azizi, H. Sundu, N. Aksit, J. Phys. G 39, 015002 (2012)ADSCrossRefGoogle Scholar
  16. 16.
    G.T. Bodwin, E. Braaten, G.P. Lepage, Phys. Rev. D 51, 1125 (1995)ADSCrossRefGoogle Scholar
  17. 17.
    C.H.L. Smith, Ann. Phys. (N.Y.) 53, 521 (1969)ADSCrossRefGoogle Scholar
  18. 18.
    A.N. Mitra, B.M. Sodermark, Nucl. Phys. A 695, 328 (2001)ADSCrossRefGoogle Scholar
  19. 19.
    R. Alkofer, L.W. Smekel, Phys. Rep. 352, 281 (2001)ADSCrossRefGoogle Scholar
  20. 20.
    C-H. Chang, G.L. Wang, Sci. China G 53, 2005 (2010)CrossRefGoogle Scholar
  21. 21.
    R. Ricken, M. Koll, D. Merten, B. Metsch, H. Petry, Eur. Phys. J. A 9, 221 (2000)ADSCrossRefGoogle Scholar
  22. 22.
    A.N. Mitra, S. Bhatnagar, Intl. J. Mod. Phys. A 7, 121 (1992)ADSCrossRefGoogle Scholar
  23. 23.
    W. Lucha, F. Shoberl, Int. J. Mod. Phys. C 10, 607 (1999) arXiv:hep-ph/9811453ADSCrossRefGoogle Scholar
  24. 24.
    D. Ebert, R. Faustov, V.O. Galkin, Eur. Phys. J. C 71, 1825 (2011)ADSCrossRefGoogle Scholar
  25. 25.
    A.K. Rai, J.N. Pandya, P.C. Vinodkumar, J. Phys. G 31, 1453 (2005)ADSCrossRefGoogle Scholar
  26. 26.
    A.K. Rai, B. Patel, P.C. Vinodkumar, Phys. Rev. C 78, 055202 (2008)ADSCrossRefGoogle Scholar
  27. 27.
    A. Parmar, B. Patel, P.C. Vinodkumar, Nucl. Phys. A 848, 299 (2010)ADSCrossRefGoogle Scholar
  28. 28.
    G.S. Bali et al., Phys. Rev D 62, 054503 (2000)ADSCrossRefGoogle Scholar
  29. 29.
    G.S. Bali, Phys. Rep. 343, 1 (2001)ADSCrossRefGoogle Scholar
  30. 30.
    C. Alexandrou, P. de Forcrand, O. John, Nucl. Phys. B 119, 667 (2003)CrossRefGoogle Scholar
  31. 31.
    S.M. Ikhdair, Ramzam Sever, Int. J. Mod. Phys. A 19, 1771 (2004)ADSCrossRefGoogle Scholar
  32. 32.
    S.M. Ikhdair, Ramzam Sever, Int. J. Mod. Phys. A 20, 4035 (2005)ADSCrossRefGoogle Scholar
  33. 33.
    L. Motyka, K. Zalewiski, Eur. Phys. J. C 4, 107 (1998)ADSCrossRefGoogle Scholar
  34. 34.
    L. Motyka, K. Zalewiski, Z. Phys. C 69, 343 (1996)CrossRefGoogle Scholar
  35. 35.
    X. Song, J. Phys. G 17, 49 (1991)ADSCrossRefGoogle Scholar
  36. 36.
    Particle data group (C. Patrignani et al.), Chin. Phys. C 40, 100001 (2016)ADSCrossRefGoogle Scholar
  37. 37.
    M. Atif Sultan, Nosheen Akbar, Bilal Masud, Faisal Akram, Phys. Rev. D 90, 054001 (2014)ADSCrossRefGoogle Scholar
  38. 38.
    Bai-Qing Li, Kuang-Ta Chao, Phys. Rev. D 79, 094004 (2009)ADSCrossRefGoogle Scholar
  39. 39.
    M. Kalinowski, M. Wagner, Phys. Rev. D 92, 094508 (2015)ADSCrossRefGoogle Scholar
  40. 40.
    W. Kwong, P.B. Mackenzie, R. Rosenfeld, J.L. Rosner, Phys. Rev. D 37, 3210 (1988)ADSCrossRefGoogle Scholar
  41. 41.
    O. Lakhina, E.S. Swanson, Phys. Rev. D 74, 014012 (2006)ADSCrossRefGoogle Scholar
  42. 42.
    Particle data group (W.M. Yao et al.), J. Phys. G 33, 1 (2006)ADSCrossRefGoogle Scholar
  43. 43.
    G.L. Wang, Phys. Lett. B 633, 492 (2006)ADSCrossRefGoogle Scholar
  44. 44.
    M.A. Bedolla, J. Phys.: Conf. Ser. 761, 012071 (2016)Google Scholar
  45. 45.
    D. Beirevi et al., Nucl. Part. Phys. Proc. 273, 1611 (2016)Google Scholar
  46. 46.
    B. Patel, Thesis of Doctor of Philosophy, Spectroscopy and decay of heavy flavor hadrons, http://hdl.handle.net/10603/7354
  47. 47.
    R. Van Royen, V.F. Weisskopf, Nuovo Cimento 50, 617 (1967)ADSCrossRefGoogle Scholar
  48. 48.
    E. Braaten, S. Fleming, Phys. Rev. D 52, 181 (1995)ADSCrossRefGoogle Scholar
  49. 49.
    C. Amsler et al., Phys. Lett. B 667, 1 (2008)ADSCrossRefGoogle Scholar
  50. 50.
    P.C. VinodKumar, J.N. Pandya, V.M. Bannur, S.B. Khadkikar, Eur. Phys. J. A 4, 83 (1999)ADSCrossRefGoogle Scholar
  51. 51.
    A.K. Rai, J.N. Pandya, P.C. Vinodkumar, Eur. Phys. J. A 38, 77 (2008)ADSCrossRefGoogle Scholar
  52. 52.
    D. Ebert, R.N. Faustov, V.O. Galkin, Phys. Rev. D 67, 014027 (2003)ADSCrossRefGoogle Scholar
  53. 53.
    J.P. Lansberg, T.N. Pham, Phys. Rev. D 74, 034001 (2006)ADSCrossRefGoogle Scholar
  54. 54.
    C.S. Kim, T. Lee, G.L. Wang, Phys. Lett. B 606, 323 (2005)ADSCrossRefGoogle Scholar
  55. 55.
    N. Fabiano, G. Pancheri, Eur. Phys. J. C 25, 421 (2002)ADSCrossRefGoogle Scholar
  56. 56.
    Chien-Wen Hwang, Rurng-Sheng Guo, Phys. Rev. D 82, 034021 (2010)ADSCrossRefGoogle Scholar
  57. 57.
    S.N. Gupta et al., Phy. Rev. D 54, 2075 (1996)ADSCrossRefGoogle Scholar
  58. 58.
    H.W. Huang, K.T. Chao, Phys. Rev. D 54, 6850 (1996) 56ADSCrossRefGoogle Scholar
  59. 59.
    H. Khan, P. Hoodbhoy, Phys. Rev. D 53, 2534 (1996)ADSCrossRefGoogle Scholar
  60. 60.
    R. Barbieri, R. Gatto, R. Kogerler, Phys. Lett. B 60, 183 (1976)ADSCrossRefGoogle Scholar
  61. 61.
    H.W. Huang et al., Phys. Rev. D 54, 2123 (1996)ADSCrossRefGoogle Scholar
  62. 62.
    A. Petrelli, M. Cacciari, M. Greco, F. Maltoni, M.L. Mangano, Nucl. Phys. B 514, 245 (1998)ADSCrossRefGoogle Scholar
  63. 63.
    J.P. Lansberg, T.N. Pham, Phys. Rev. D 79, 094016 (2009)ADSCrossRefGoogle Scholar
  64. 64.
    M. Mangano, A. Petrelli, Phys. Lett. B 352, 445 (1945)ADSCrossRefGoogle Scholar
  65. 65.
    S.G. Karshenboim, Phys. Rep. 422, 1 (2005)ADSCrossRefGoogle Scholar
  66. 66.
    V.A. Novikov, L.B. Okun, M.A. Shifman, A.J. Vainshtein, M.B. Voloshin, V.I. Zakharov, Phys. Rep. 41, 1 (1978)ADSCrossRefGoogle Scholar
  67. 67.
    T. Appelquist, H.D. Politzer, Phys. Rev. Lett. 34, 43 (1975)ADSCrossRefGoogle Scholar
  68. 68.
    Belle Collaboration (V. Bhardwaj et al.), Phys. Rev. Lett. 111, 032001 (2013)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Applied PhysicsSardar Vallabhbhai National Institute of TechnologySuratIndia

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