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Baryon tri-local interpolating fields

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Abstract

We systematically investigate tri-local (non-local) three-quark baryon fields with U L (2)×U R (2) chiral symmetry, according to their Lorentz and isospin (flavor) group representations. We note that they can also be called “nucleon wave functions” due to this full non-locality. We study their chiral transformation properties and find all the possible chiral multiplets consisting of \(J=\frac{1}{2}\) and \(J=\frac{3}{2}\) baryon fields. We find that the axial coupling constant \(|g_{A}| = \frac{5}{3}\) is only for nucleon fields belonging to the chiral representation \((\frac{1}{2},1) \oplus(1,\frac{1}{2})\), which contains both nucleon and Δ fields. Moreover, all the nucleon fields belonging to this representation have \(|g_{A}| = \frac{5}{3}\).

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References

  1. H. Georgi, Lie Algebras in Particle Physics (The Benjamin/Cummings Publishing Company, Redwood City, 1982)

    MATH  Google Scholar 

  2. Y. Ohnuki, Unitary Representations of the Poincaré Group and Relativistic Wave Equations (World Scientific, Singapore, 1988)

    MATH  Google Scholar 

  3. B.W. Lee, Chiral Dynamics (Gordon and Breach, New York, 1972)

    Google Scholar 

  4. T.D. Lee, Particle Physics and Introduction to Field Theory (Harwood, Chur, 1981)

    Google Scholar 

  5. R. Slansky, Phys. Rep. 79, 1 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  6. S. Weinberg, Phys. Rev. 177, 2604 (1969)

    Article  ADS  Google Scholar 

  7. S. Weinberg, Phys. Rev. Lett. 65, 1177 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  8. T. Hatsuda, T. Kunihiro, Phys. Rep. 247, 221 (1994)

    Article  ADS  Google Scholar 

  9. D. Jido, M. Oka, A. Hosaka, Prog. Theor. Phys. 106, 873 (2001)

    Article  ADS  MATH  Google Scholar 

  10. D. Jido, T. Hatsuda, T. Kunihiro, Phys. Rev. Lett. 84, 3252 (2000)

    Article  ADS  Google Scholar 

  11. S.R. Beane, M.J. Savage, Phys. Lett. B 556, 142 (2003)

    Article  ADS  MATH  Google Scholar 

  12. M. Benmerrouche, R.M. Davidson, N.C. Mukhopadhyay, Phys. Rev. C 39, 2339 (1989)

    Article  ADS  Google Scholar 

  13. H. Haberzettl, arXiv:nucl-th/9812043

  14. C. DeTar, T. Kunihiro, Phys. Rev. D 39, 2805 (1989)

    Article  ADS  Google Scholar 

  15. T.D. Cohen, L.Y. Glozman, Int. J. Mod. Phys. A 17, 1327 (2002)

    Article  ADS  Google Scholar 

  16. D. Diakonov, V.Y. Petrov, P.V. Pobylitsa, Nucl. Phys. B 306, 809 (1988)

    Article  ADS  Google Scholar 

  17. E.E. Jenkins, A.V. Manohar, Phys. Lett. B 259, 353 (1991)

    Article  ADS  Google Scholar 

  18. D. Jido, W. Weise, Phys. Rev. C 72, 045203 (2005)

    Article  ADS  Google Scholar 

  19. C.V. Christov et al., Prog. Part. Nucl. Phys. 37, 91 (1996)

    Article  ADS  Google Scholar 

  20. B.L. Ioffe, Nucl. Phys. B 188, 317 (1981). Erratum-Ibid., 191, 591, 1981

    Article  ADS  Google Scholar 

  21. B.L. Ioffe, Z. Phys. C 18, 67 (1983)

    Article  ADS  Google Scholar 

  22. Y. Chung, H.G. Dosch, M. Kremer, D. Schall, Nucl. Phys. B 197, 55 (1982)

    Article  ADS  Google Scholar 

  23. D. Espriu, P. Pascual, R. Tarrach, Nucl. Phys. B 214, 285 (1983)

    Article  ADS  Google Scholar 

  24. D.B. Leinweber, Phys. Rev. D 53, 5115 (1996)

    Article  ADS  Google Scholar 

  25. D.B. Leinweber, Phys. Rev. D 51, 6383 (1995)

    Article  ADS  Google Scholar 

  26. K. Nagata, A. Hosaka, V. Dmitrasinovic, Mod. Phys. Lett. A 23, 2381 (2008)

    Article  ADS  Google Scholar 

  27. H.X. Chen, V. Dmitrašinović, A. Hosaka, K. Nagata, S.L. Zhu, Phys. Rev. D 78, 054021 (2008)

    Article  ADS  Google Scholar 

  28. V. Dmitrasinovic, H.X. Chen, Eur. Phys. J. C 71, 1543 (2011)

    Article  ADS  Google Scholar 

  29. M. Beneke, G. Buchalla, M. Neubert, C.T. Sachrajda, Nucl. Phys. B 606, 245 (2001)

    Article  ADS  Google Scholar 

  30. V.M. Braun, D.Y. Ivanov, G.P. Korchemsky, Phys. Rev. D 69, 034014 (2004)

    Article  ADS  Google Scholar 

  31. C.-D. Lu, K. Ukai, M.-Z. Yang, Phys. Rev. D 63, 074009 (2001)

    Article  ADS  Google Scholar 

  32. H.-n. Li, H.-S. Liao, Phys. Rev. D 70, 074030 (2004)

    Article  ADS  Google Scholar 

  33. T. Huang, C.-F. Qiao, X.-G. Wu, Phys. Rev. D 73, 074004 (2006)

    Article  ADS  Google Scholar 

  34. A.G. Grozin, M. Neubert, Phys. Rev. D 55, 272 (1997)

    Article  ADS  Google Scholar 

  35. V.L. Chernyak, A.A. Ogloblin, I.R. Zhitnitsky, Z. Phys. C 42, 569 (1989)

    Article  Google Scholar 

  36. V.L. Chernyak, A.A. Ogloblin, I.R. Zhitnitsky, Yad. Fiz. 48, 1410 (1988)

    Google Scholar 

  37. V.L. Chernyak, A.A. Ogloblin, I.R. Zhitnitsky, Sov. J. Nucl. Phys. 48, 896 (1988)

    Google Scholar 

  38. S.J. Brodsky, J.R. Ellis, J.S. Hagelin, C.T. Sachrajda, Nucl. Phys. B 238, 561 (1984)

    Article  ADS  Google Scholar 

  39. V.L. Chernyak, I.R. Zhitnitsky, Nucl. Phys. B 246, 52 (1984)

    Article  ADS  Google Scholar 

  40. F. Gross, G. Ramalho, M.T. Pena, Phys. Rev. D 85, 093005 (2012)

    Article  ADS  Google Scholar 

  41. I.D. King, C.T. Sachrajda, Nucl. Phys. B 279, 785 (1987)

    Article  ADS  Google Scholar 

  42. N. Matagne, F. Stancu, Phys. Rev. D 77, 054026 (2008)

    Article  ADS  Google Scholar 

  43. S.J. Dong, K.F. Liu, A.G. Williams, Phys. Rev. D 58, 074504 (1998)

    Article  ADS  Google Scholar 

  44. H.C. Kim, M. Praszalowicz, M.V. Polyakov, K. Goeke, Phys. Rev. D 58, 114027 (1998)

    Article  ADS  Google Scholar 

  45. D.B. Leinweber, A.W. Thomas, Phys. Rev. D 62, 074505 (2000)

    Article  ADS  Google Scholar 

  46. Y. Kuramashi, M. Fukugita, H. Mino, M. Okawa, A. Ukawa, Phys. Rev. Lett. 71, 2387 (1993)

    Article  ADS  Google Scholar 

  47. D.B. Leinweber, T. Draper, R.M. Woloshyn, Phys. Rev. D 46, 3067 (1992)

    Article  ADS  Google Scholar 

  48. D.H. Beck, R.D. McKeown, Annu. Rev. Nucl. Part. Sci. 51, 189 (2001)

    Article  ADS  Google Scholar 

  49. F.X. Lee, L. Wang, Phys. Rev. D 83, 094008 (2011)

    Article  ADS  Google Scholar 

  50. C. Alexandrou, E.B. Gregory, T. Korzec, G. Koutsou, J.W. Negele, T. Sato, A. Tsapalis, Phys. Rev. Lett. 107, 141601 (2011)

    Article  ADS  Google Scholar 

  51. K.S. Choi, W. Plessas, R.F. Wagenbrunn, Phys. Rev. D 82, 014007 (2010)

    Article  ADS  Google Scholar 

  52. S.L. Zhu, Phys. Rev. D 79, 116002 (2009)

    Article  ADS  Google Scholar 

  53. D.O. Riska, G.E. Brown, Nucl. Phys. A 679, 577 (2001)

    Article  ADS  Google Scholar 

  54. R. Machleidt, Phys. Rev. C 63, 024001 (2001)

    Article  ADS  Google Scholar 

  55. N. Fettes, U.G. Meissner, Nucl. Phys. A 679, 629 (2001)

    Article  ADS  Google Scholar 

  56. S.L. Zhu, Phys. Rev. C 63, 018201 (2001)

    Article  ADS  Google Scholar 

  57. A. Hosaka, D. Jido, M. Oka, arXiv:hep-ph/0112355

  58. T.R. Hemmert, W. Weise, Eur. Phys. J. A 15, 487 (2002)

    Article  ADS  Google Scholar 

  59. T.R. Hemmert, M. Procura, W. Weise, Phys. Rev. D 68, 075009 (2003)

    Article  ADS  Google Scholar 

  60. A.A. Khan et al., Phys. Rev. D 74, 094508 (2006)

    Article  ADS  Google Scholar 

  61. W. Broniowski, A. Steiner, M. Lutz, Phys. Rev. Lett. 71, 1787 (1993)

    Article  ADS  Google Scholar 

  62. B.L. Ioffe, A.G. Oganesian, Phys. Rev. D 57, 6590 (1998)

    Article  ADS  Google Scholar 

  63. S.L. Zhu, W.Y.P. Hwang, Y.B.P. Dai, Phys. Rev. C 59, 442 (1999)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work is partly supported by the National Natural Science Foundation of China under Grant No. 11147140, and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.

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

    Hua-Xing Chen

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  1. Hua-Xing Chen
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Chen, HX. Baryon tri-local interpolating fields. Eur. Phys. J. C 72, 2129 (2012). https://doi.org/10.1140/epjc/s10052-012-2129-4

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  • DOI: https://doi.org/10.1140/epjc/s10052-012-2129-4

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