Advertisement

Lattice study of \(J/\Psi\) form factors with twisted boundary conditions

  • Ning LiEmail author
  • Ya-Jie Wu
  • Tan-Biao Gao
Regular Article - Theoretical Physics
  • 30 Downloads

Abstract.

We present a lattice calculation for the electromagnetic form factors of \(J/\Psi\) by using \(N_{f}=2\) twisted mass gauge field configurations. We apply twisted boundary conditions to compute correlation functions at small values of momentum transfer that are difficult to access with periodic boundary conditions. The electromagnetic form factors with more small four-momentum transfer are determined, and further the charge radius and the quadrupole moment for \(J/\Psi\) are fitted, respectively.

References

  1. 1.
    H.-Y. Gao, Int. J. Mod. Phys. E 12, 1 (2003) 12ADSCrossRefGoogle Scholar
  2. 2.
    C.E. Hyde, K. de Jager, Annu. Rev. Nucl. Part. Sci. 54, 217 (2004) arXiv:nucl-ex/0507001ADSCrossRefGoogle Scholar
  3. 3.
    J. Arrington, C.D. Roberts, J.M. Zanotti, J. Phys. G 34, S23 (2007) arXiv:nucl-th/0611050ADSCrossRefGoogle Scholar
  4. 4.
    C.F. Perdrisat, V. Punjabi, M. Vanderhaeghen, Prog. Part. Nucl. Phys. 59, 694 (2007) arXiv:hep-ph/0612014ADSCrossRefGoogle Scholar
  5. 5.
    Jefferson Lab F(pi)-2 Collaboration (T. Horn et al.), Phys. Rev. Lett. 97, 192001 (2006) arXiv:nucl-ex/0607005CrossRefGoogle Scholar
  6. 6.
    Jefferson Lab F(pi) Collaboration (V. Tadevosyan et al.), Phys. Rev. C 75, 055205 (2007) arXiv:nucl-ex/0607007CrossRefGoogle Scholar
  7. 7.
    K.U. Can, G. Erkol, M. Oka, A. Ozpineci, T.T. Takahashi, Phys. Lett. B 719, 103 (2013) arXiv:1210.0869ADSCrossRefGoogle Scholar
  8. 8.
    N. Li, Y.-J. Wu, Int. J. Mod. Phys. A 31, 1650109 (2016)ADSCrossRefGoogle Scholar
  9. 9.
    N. Li, Y.-J. Wu, Eur. Phys. J. A 53, 56 (2017)ADSCrossRefGoogle Scholar
  10. 10.
    C. Alexandrou, P. de Forcrand, A. Tsapalis, Phys. Rev. D 66, 094503 (2002) arXiv:hep-lat/0206026ADSCrossRefGoogle Scholar
  11. 11.
    J.J. Dudek, R.G. Edwards, D.G. Richards, Phys. Rev. D 73, 074507 (2006) arXiv:hep-ph/0601137ADSCrossRefGoogle Scholar
  12. 12.
    R. Frezzotti, G. Rossi, JHEP 10, 070 (2004) arXiv:hep-lat/0407002ADSCrossRefGoogle Scholar
  13. 13.
    A. Shindler, Phys. Rep. 461, 37 (2008) arXiv:0707.4093ADSMathSciNetCrossRefGoogle Scholar
  14. 14.
    ETM Collaboration (P. Boucaud et al.), Phys. Lett. B 650, 304 (2007) arXiv:hep-lat/0701012CrossRefGoogle Scholar
  15. 15.
    ETM Collaboration (P. Boucaud et al.), Comput. Phys. Commun. 179, 695 (2008) arXiv:0803.0224CrossRefGoogle Scholar
  16. 16.
    European Twisted Mass Collaboration (B. Blossier et al.), JHEP 04, 020 (2008) arXiv:0709.4574ADSCrossRefGoogle Scholar
  17. 17.
    ETM Collaboration (B. Blossier et al.), JHEP 07, 043 (2009) arXiv:0904.0954ADSCrossRefGoogle Scholar
  18. 18.
    R. Baron et al., JHEP 06, 111 (2010) arXiv:1004.5284ADSCrossRefGoogle Scholar
  19. 19.
    ETM Collaboration (R. Baron et al.), JHEP 08, 097 (2010) arXiv:0911.5061Google Scholar
  20. 20.
    European Twisted Mass Collaboration (C. Alexandrou et al.), Phys. Rev. D 78, 014509 (2008) arXiv:0803.3190Google Scholar
  21. 21.
    ETM Collaboration (C. Alexandrou, R. Baron, J. Carbonell, V. Drach, P. Guichon, K. Jansen, T. Korzec, O. Pene), Phys. Rev. D 80, 114503 (2009) arXiv:0910.2419CrossRefGoogle Scholar
  22. 22.
    XLF Collaboration (K. Jansen, A. Shindler, C. Urbach, I. Wetzorke), Phys. Lett. B 586, 432 (2004) arXiv:hep-lat/0312013ADSCrossRefGoogle Scholar
  23. 23.
    ETM Collaboration (B. Blossier et al.), Phys. Rev. D 82, 114513 (2010) arXiv:1010.3659CrossRefGoogle Scholar
  24. 24.
    ALPHA Collaboration (R. Frezzotti, S. Sint, P. Weisz), JHEP 07, 048 (2001) arXiv:hep-lat/0104014Google Scholar
  25. 25.
    C. Gattringer, C.B. Lang, Quantum Chromodynamics on the Lattice, Lect. Notes Phys., Vol. 788 (2010)Google Scholar
  26. 26.
    J. Hedditch, W. Kamleh, B. Lasscock, D. Leinweber, A. Williams et al., Phys. Rev. D 75, 094504 (2007) arXiv:hep-lat/0703014ADSCrossRefGoogle Scholar
  27. 27.
    Y. Chen, D.-C. Du, B.-Z. Guo, N. Li, C. Liu et al., Phys. Rev. D 84, 034503 (2011) arXiv:1104.2655ADSCrossRefGoogle Scholar
  28. 28.
    D. Becirevic, F. Sanfilippo, JHEP 01, 028 (2013) arXiv:1206.1445ADSCrossRefGoogle Scholar
  29. 29.
    QCDSF/UKQCD Collaboration (D. Brommel et al.), Eur. Phys. J. C 51, 335 (2007) arXiv:hep-lat/0608021CrossRefGoogle Scholar
  30. 30.
    Lattice Hadron Physics Collaboration (F.D. Bonnet, R.G. Edwards, G.T. Fleming, R. Lewis, D.G. Richards), Phys. Rev. D 72, 054506 (2005) arXiv:hep-lat/0411028Google Scholar
  31. 31.
    P. Boyle, J. Flynn, A. Juttner, C. Sachrajda, J. Zanotti, JHEP 05, 016 (2007) arXiv:hep-lat/0703005Google Scholar
  32. 32.
    G. Martinelli, C.T. Sachrajda, Phys. Lett. B 196, 184 (1987)ADSCrossRefGoogle Scholar
  33. 33.
    R. Frezzotti, G.C. Rossi, JHEP 08, 007 (2004) arXiv:hep-lat/0306014ADSCrossRefGoogle Scholar
  34. 34.
    A.M. Abdel-Rehim, R. Lewis, R. Woloshyn, J.M. Wu, Phys. Rev. D 74, 014507 (2006) arXiv:hep-lat/0601036ADSCrossRefGoogle Scholar
  35. 35.
    M. Kalinowski, M. Wagner, Phys. Rev. D 92, 094508 (2015) arXiv:1509.02396ADSCrossRefGoogle Scholar
  36. 36.
    P.F. Bedaque, Phys. Lett. B 593, 82 (2004) arXiv:nucl-th/0402051ADSCrossRefGoogle Scholar
  37. 37.
    C.T. Sachrajda, G. Villadoro, Phys. Lett. B 609, 73 (2005) arXiv:hep-lat/0411033ADSCrossRefGoogle Scholar
  38. 38.
    S. Ozaki, S. Sasaki, Phys. Rev. D 87, 014506 (2013) arXiv:1211.5512ADSCrossRefGoogle Scholar
  39. 39.
    B.B. Brandt, S. Capitani, M. Della Morte, D. Djukanovic, J. Gegelia, G. von Hippel, A. Juttner, B. Knippschild, H.B. Meyer, H. Wittig, Eur. Phys. J. ST 198, 79 (2011) arXiv:1106.1554CrossRefGoogle Scholar

Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of ScienceXi’an Technological UniversityXi’anP. R. China

Personalised recommendations