- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Dibaryons in a constituent quark model

Woosung Park, Aaron Park, and Su Houng Lee

  • Department of Physics and Institute of Physics and Applied Physics, Yonsei University, Seoul 120-749, Korea

PDF

Phys. Rev. D 92, 014037 – Published 31 July, 2015

DOI: https://doi.org/10.1103/PhysRevD.92.014037

Abstract

We investigate the properties of dibaryons containing u and d quarks in the constituent quark model. In constructing the ground state wave function, we choose the spatial part to be fully symmetric and the remaining color, isospin, and spin part to be antisymmetric so as to satisfy the Pauli principle. By adapting the isospin ⊗ spin (IS) coupling scheme that combines the isospin basis function with the spin basis function, and subsequently coupling this to the color singlet basis function, we construct the color ⊗ isospin ⊗ spin states compatible with the physical states of the dibaryon. By using the variational method, we then calculate the mass of the dibaryon in a nonrelativistic potential model, involving Coulomb, color confinement, and color-spin hyperfine interaction. In particular, to assess the stability for different types of the confinement potential, we introduce one that is linearly proportional to the interquark distance and another to its square root. For all cases considered, we find that there are no compact bound states against the strong decay.

View figure in article

Article Text

References (35)

  1. M. Bashkanov, C. Bargholtz, M. Berlowski, D. Bogoslawsky, H. Calen, H. Clement, L. Demiroers, E. Doroshkevich et al., Double-Pionic Fusion of Nuclear Systems and the ABC Effect: Aproaching a Puzzle by Exclusive and Kinematically Complete Measurements, Phys. Rev. Lett. 102, 052301 (2009).
  2. P. Adlarson et al. (WASA-at-COSY Collaboration), ABC Effect in Basic Double-Pionic Fusion—Observation of a New Resonance?, Phys. Rev. Lett. 106, 242302 (2011).
  3. P. Adlarson et al. (WASA-at-COSY Collaboration), Isospin decomposition of the basic double-pionic fusion in the region of the ABC effect, Phys. Lett. B 721, 229 (2013).
  4. P. Adlarson et al. (WASA-at-COSY Collaboration), Evidence for a New Resonance from Polarized Neutron-Proton Scattering, Phys. Rev. Lett. 112, 202301 (2014).
  5. P. Adlarson et al. (WASA-at-COSY Collaboration), Neutron-proton scattering in the context of the d*(2380) resonance, Phys. Rev. C 90, 035204 (2014).
  6. P. Adlarson et al. (WASA-at-COSY Collaboration), Measurement of the np→npπ0π0 reaction in search for the recently observed d*(2380) resonance, Phys. Lett. B 743, 325 (2015).
  7. R. L. Jaffe, Perhaps a Stable Dihyperon, Phys. Rev. Lett. 38, 195 (1977); 38, 617 (1977).
  8. J. T. Goldman, K. Maltman, G. J. Stephenson, Jr., K. E. Schmidt, and F. Wang, An “inevitable”, nonstrange dibaryon, Phys. Rev. C 39, 1889 (1989).
  9. M. Oka and K. Yazaki, Nuclear force in a quark model, Phys. Lett. 90B, 41 (1980).
  10. B. Silvestre-Brac and J. Leandri, Systematics of q6 systems in a simple chromomagnetic model, Phys. Rev. D 45, 4221 (1992).
  11. P. B. Mackenzie and H. B. Thacker, Evidence against a Stable Dibaryon from Lattice QCD, Phys. Rev. Lett. 55, 2539 (1985).
  12. A. T. M. Aerts and J. Rafelski, QCD, bags and hadron masses, Phys. Lett. 148B, 337 (1984).
  13. A. P. Balachandran, A. Barducci, F. Lizzi, V. G. J. Rodgers, and A. Stern, Doubly Strange Dibaryon in the Chiral Model, Phys. Rev. Lett. 52, 887 (1984).
  14. U. Straub, Z. Y. Zhang, K. Brauer, A. Faessler, and S. B. Khadkikar, Binding energy of the dihyperon in the quark cluster model, Phys. Lett. B 200, 241 (1988).
  15. F. Stancu, S. Pepin, and L. Y. Glozman, How the “H particle” unravels the quark dynamics, Phys. Rev. D 57, 4393 (1998).
  16. T. Inoue, N. Ishii, S. Aoki, T. Doi, T. Hatsuda, Y. Ikeda, K. Murano, H. Nemura, and K. Sasaki (HAL QCD Collaboration), Bound H Dibaryon in Flavor SU(3) Limit of Lattice QCD, Phys. Rev. Lett. 106, 162002 (2011).
  17. S. R. Beane et al. (NPLQCD Collaboration), Evidence for a Bound H Dibaryon from Lattice QCD, Phys. Rev. Lett. 106, 162001 (2011).
  18. K. Maltman, Optimal channels for positive parity, strangeness −1 dibaryons, Nucl. Phys. A459, 475 (1986).
  19. J. T. Goldman, K. Maltman, G. J. Stephenson, Jr., K. E. Schmidt, and F. Wang, Strangeness −3 Dibaryons, Phys. Rev. Lett. 59, 627 (1987).
  20. S. Pepin and F. Stancu, Heavy hexaquarks in a chiral constituent quark model, Phys. Rev. D 57, 4475 (1998).
  21. S. Zouzou, B. Silvestre-Brac, C. Gignoux, and J. M. Richard, Four quark bound states, Z. Phys. C 30, 457 (1986).
  22. B. Silvestre-Brac and C. Semay, Spectrum and decay properties of diquonia, Z. Phys. C 59, 457 (1993).
  23. D. M. Brink and F. Stancu, Tetraquarks with heavy flavors, Phys. Rev. D 57, 6778 (1998).
  24. W. Park and S. H. Lee, Color spin wave functions of heavy tetraquark states, Nucl. Phys. A925, 161 (2014).
  25. J. Leandri and B. Silvestre-Brac, Dibaryon states containing two different types of heavy quarks, Phys. Rev. D 51, 3628 (1995).
  26. R. K. Bhaduri, L. E. Cohler, and Y. Nogami, A unified potential for mesons and baryons, Nuovo Cimento Soc. Ital. Fis. 65A, 376 (1981).
  27. S. Pepin and F. Stancu, On a three-body confinement force in hadron spectroscopy, Phys. Rev. D 65, 054032 (2002).
  28. V. Dmitrasinovic, Cubic Casimir operator of SUC(3) and confinement in the nonrelativistic quark model, Phys. Lett. B 499, 135 (2001).
  29. H. Huang, J. Ping, and F. Wang, Dynamical calculation of the ΔΔ dibaryon candidates, Phys. Rev. C 89, 034001 (2014).
  30. A. J. Buchmann, G. Wagner, and A. Faessler, d′ dibaryon in a colored cluster model, Phys. Rev. C 57, 3340 (1998).
  31. F. Stancu, Group theory in subnuclear physics, Oxford Stud. Nucl. Phys. 19, 1 (1996).
  32. F. Stancu and S. Pepin, Isoscalar factors of the permutation group, Few-Body Syst. 26, 113 (1999).
  33. A. T. M. Aerts, P. J. G. Mulders, and J. J. de Swart, Multibaryon states in the bag model, Phys. Rev. D 17, 260 (1978).
  34. A. Gal and H. Garcilazo, Three-Body Calculation of the Delta-Delta Dibaryon Candidate D(03) at 2.37 GeV, Phys. Rev. Lett. 111, 172301 (2013).
  35. V. Dmitrasinovic, Three quark exchange operators, crossing matrices and Fierz transformations in SU(2) and SU(3), J. Math. Phys. (N.Y.) 42, 991 (2001); 45, 2988 (2004).

Outline

Information

Phys. Rev. D 92, 014037– Published 31 July, 2015
  • Received 3 June 2015

© 2015 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation