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SU(3) predictions for weak decays of doubly heavy baryons, including SU(3) breaking terms

David A. Egolf*

Roxanne P. Springer†

Jörg Urban‡

  • Department of Physics, Georgetown University, 37th and O Streets NW, Washington, D.C. 20057, USA

  • Technische Universität München, Physik Department, James-Franck-Strasse, D-85748 Garching, Germany
  • Department of Physics, Duke University, Durham, North Carolina 27708, USA

  • Technische Universität München, Physik Department, James-Franck-Strasse, D-85748 Garching, Germany
  • Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland

  • *Email address: egolf@physics.georgetown.edu
  • †Email address: rps@phy.duke.edu
  • ‡Email address: joerg.urban@psi.ch
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Phys. Rev. D 68, 013003 – Published 8 July, 2003

DOI: https://doi.org/10.1103/PhysRevD.68.013003

Abstract

We find expressions for the weak decay amplitudes of baryons containing two b quarks (or one b and one c quark—many relationships are the same) in terms of unknown reduced matrix elements. This project was originally motivated by the request of the Fermilab run II b Physics Workshop organizers for a guide to experimentalists in their search for as yet unobserved hadrons. We include an analysis of linear SU(3) breaking terms in addition to relationships generated by unbroken SU(3) symmetry, and relate these to expressions in terms of the complete set of possible reduced matrix elements.

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References (32)

  1. C. Quigg, “Doubly Heavy Baryons,” in Workshop on B Physics at the Tevatron: RunII and Beyond, 1999.
  2. W.E. Caswell and G.P. Lepage, Phys. Lett. 167B, 437 (1986); G.T. Bodwin, E. Braaten, and G.P. Lepage, Phys. Rev. D 51, 1125 (1995); ibid.55, 5853(E) (1997).
  3. N. Isgur and M.B. Wise, Phys. Lett. B 232, 113 (1989); ibid.237, 527 (1990); ibid.H. Georgi, 240, 447 (1990); ibid.E. Eichten and B. Hill, 243, 427 (1990).
  4. V.A. Novikov, L.B. Okun, M.A. Shifman, A.I. Vainshtein, M.B. Voloshin, and V.I. Zakharov, Phys. Rep. 41, 1 (1978); M.A. Shifman, A.I. Vainshtein, and V.I. Zakharov, Nucl. Phys. B147, 385 (1979); L.J. Reinders, H.R. Rubinstein, and S. Yazaki, Phys. Rep. 127, 1 (1985); M.B. Voloshin, Int. J. Mod. Phys. A 10, 2865 (1995).
  5. E. Bagan, M. Chabab, and S. Narison, Phys. Lett. B 306, 350 (1993); E. Bagan, H.G. Dosch, P. Gosdzinsky, S. Narison, and J.M. Richard, Z. Phys. C 64, 57 (1994); S.S. Gershtein, V.V. Kiselev, A.K. Likhoded, and A.I. Onishchenko, Phys. Rev. D 62, 054021 (2000); V.V. Kiselev and A.I. Onishchenko, Nucl. Phys. B581, 432 (2000); V.V. Kiselev, A.K. Likhoded, O.N. Pakhomova, and V.A. Saleev, Phys. Rev. D 66, 034030 (2002).
  6. F. Abe et al., Phys. Rev. Lett. 81, 2432 (1998); F. AbePhys. Rev. D 58, 112004 (1998).
  7. M. Mattson et al., Phys. Rev. Lett. 89, 112001 (2002).
  8. K. Anikeev et al., “B Physics at the Tevatron: Run II and Beyond,” hep-ph/0201071.
  9. S. Fleck and J.M. Richard, Prog. Theor. Phys. 82, 760 (1989); M.J. Savage and M.B. Wise, Phys. Lett. B 248, 177 (1990); J. Richard, hep-ph/9407224; R. Roncaglia, D.B. Lichtenberg, and E. Predazzi, Phys. Rev. D 52, 1722 (1995); A. Martin and J.-M. Richard, Phys. Lett. B 355, 345 (1995); M.L. Stong, hep-ph/9505217; D.B. Lichtenberg, R. Roncaglia, and E. Predazzi, Phys. Rev. D 53, 6678 (1996); D.U. Matrasulov, M.M. Musakhanov, and T. Morii, Phys. Rev. C 61, 045204 (2000); S.-P. Tong et al., Phys. Rev. D 62, 054024 (2000); D.U. Matrasulov, F.C. Khanna, Kh.Yu. Rakhimov, and Kh.T. Butanov, Eur. Phys. J. A 14, 81 (2002); V.V. Kiselev and A.K. Likhoded, Phys. Usp. 45, 455 (2002); D. Ebert, R.N. Faustov, V.O. Galkin, and A.P. Martynenko, Phys. Rev. D 66, 014008 (2002).
  10. M.J. White and M.J. Savage, Phys. Lett. B 271, 410 (1991); M.A. Sanchis-Lozano, Nucl. Phys. B440, 251 (1995); X.-H. Guo, H.-Y. Jin, and X.-Q. Li, Phys. Rev. D 58, 114007 (1998).
  11. A.I. Onishchenko, hep-ph/0006295; hep-ph/0006271.
  12. M.B. Einhorn and C. Quigg, Phys. Rev. D 12, 2015 (1975).
  13. M.J. Savage and M.B. Wise, Phys. Rev. D 39, 3346 (1989); ibid.40, 3127 (1989).
  14. D. Zeppenfeld, Z. Phys. C 8, 77 (1981); M.J. Savage and M.B. Wise, Nucl. Phys. B326, 15 (1989); S.M. Sheikholeslami, G.K. Sidana, and M.P. Khanna, Int. J. Mod. Phys. A 7, 1111 (1992).
  15. M. Gronau, O.F. Hernandez, D. London, and J.L. Rosner, Phys. Rev. D 50, 4529 (1994); A.J. Buras and R. Fleischer, Phys. Lett. B 341, 379 (1995); ibid.A.S. Dighe, M. Gronau, and J.L. Rosner, 367, 357 (1996); ibid.377, 325(E) (1996); X.-G. He, Eur. Phys. J. C 9, 443 (1999); N.G. Deshpande, X.-G. He, and J.-Q. Shi, Phys. Rev. D 62, 034018 (2000).
  16. R. Arora, G.K. Sidana, and M.P. Khanna, Phys. Rev. D 45, 4121 (1992).
  17. M.J. Savage and R.P. Springer, Int. J. Mod. Phys. A 6, 1701 (1991).
  18. B. Grinstein and R.F. Lebed, Phys. Rev. D 53, 6344 (1996).
  19. D.-S. Du and D.-X. Zhang, Phys. Rev. D 50, 2058 (1994).
  20. M. Gronau, O.F. Hernandez, D. London, and J.L. Rosner, Phys. Rev. D 52, 6356 (1995); H.J. Lipkin, Phys. Lett. B 415, 186 (1997); S. Oh, Phys. Rev. D 60, 034006 (1999); ibid.M. Gronau and D. Pirjol, 62, 077301 (2000).
  21. M. Savage, Phys. Lett. B 257, 414 (1991).
  22. W. Kwong and S.P. Rosen, Phys. Lett. B 298, 413 (1993); I. Hinchliffe and T.A. Kaeding, Phys. Rev. D 54, 914 (1996).
  23. V.V. Kiselev and A.E. Kovalsky, Phys. Rev. D 64, 014002 (2001).
  24. H. Georgi, Weak Interactions and Modern Particle Theory (Benjamin/Cummings, New York, 1984).
  25. Stephen Wolfram, The Mathematica Book (Cambridge University Press, Cambridge, England, 1999).
  26. T.A. Kaeding, “Tables of SU(3) Isoscalar Factors,” nucl-th/9502037.
  27. L. Wolfenstein, Phys. Rev. Lett. 51, 1945 (1983).
  28. H. Georgi, Lie Algebras in Particle Physics (Perseus Books, New York, 1999).
  29. J.J. de Swart, Rev. Mod. Phys. 35, 916 (1963); ibid.37, 326 (1965).
  30. Particle Data Group, D.E. Groom et al., Eur. Phys. J. C 15, 1 (2000).
  31. M.J. Savage and R.P. Springer, Phys. Rev. D 42, 1527 (1990).
  32. J.D. Bjorken, “Is the ccc a new deal for baryon spectroscopy?,” Fermilab-Conf-85/69.

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Phys. Rev. D 68, 013003– Published 8 July, 2003
  • Received 23 December 2002

© 2003 American Physical Society

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