publication . Article . Preprint . 2001

relativistic many body hamiltonian approach to mesons

Llanes-Estrada, Felipe J.; Cotanch, Stephen R.;
Open Access
  • Published: 09 Jan 2001 Journal: Nuclear Physics A, volume 697, pages 303-337 (issn: 0375-9474, Copyright policy)
  • Publisher: Elsevier BV
Abstract
We represent QCD at the hadronic scale by means of an effective Hamiltonian, $H$, formulated in the Coulomb gauge. As in the Nambu-Jona-Lasinio model, chiral symmetry is explicity broken, however our approach is renormalizable and also includes confinement through a linear potential with slope specified by lattice gauge theory. This interaction generates an infrared integrable singularity and we detail the computationally intensive procedure necessary for numerical solution. We focus upon applications for the $u, d, s$ and $c$ quark flavors and compute the mass spectrum for the pseudoscalar, scalar and vector mesons. We also perform a comparative study of altern...
Subjects
arXiv: High Energy Physics::PhenomenologyHigh Energy Physics::LatticeNuclear Theory
free text keywords: Nuclear and High Energy Physics, Explicit symmetry breaking, Chiral anomaly, Chiral perturbation theory, Physics, Nambu–Jona-Lasinio model, QCD vacuum, Spontaneous symmetry breaking, Quantum electrodynamics, Rho meson, Chiral symmetry breaking, High Energy Physics - Phenomenology
22 references, page 1 of 2

[1] A. P. Szczepaniak, E. S. Swanson, C.-R. Ji, and S. R. Cotanch, Phys. Rev. Lett. 76, 2011 (1996).

[2] D. G. Robertson, E. S. Swanson, A. P. Szczepaniak, C.-R. Ji, and S. R. Cotanch, Phys. Rev. D 59, 074019 (1999).

[3] F. J. Llanes-Estrada and S. R. Cotanch, Phys. Rev. Lett. 84, 1102 (2000).

[4] E. Gubankova, C.-R. Ji, and S. R. Cotanch, Phys. Rev. D, 62 (2000).

[5] A. Le Yaouanc, L. Oliver. O. Pene, and J.-C. Raynal, Phys. Rev. D 29, 1233 (1984); A. Le Yaouanc, L. Oliver, S. Ono, O. Pene, and J.-C. Raynal, Phys. Rev. D 31, 137 (1985).

[6] S. L. Adler and A. C. Davis, Nucl. Phys. B244, 469 (1984).

[7] P. Bicudo and J. E. Ribeiro, Phys. Rev. D 42, 5 (1990); P. Bicudo, J. E. Ribeiro, and J. Rodrigues, Phys. Rev. C 52, 4 (1995); P. Bicudo, dissertation presented to ”Instituto Superior Tecnico de Lisboa”, 1987; P. Bicudo and J. E. Ribeiro, private communication.

[8] R. Brockmann, W. Weise, and E. Werner, Phys. Lett. 122B, 201 (1983); V. Bernard, R. Brockmann, M. Schaden, W. Weise, and E. Werner, Nucl. Phys. A412, 349 (1984); W. Weise, Internal Review of Nuclear Physics (World Scientific), Vol. 1, 57 (1984).

[9] D. Zwanziger, Nucl. Phys. B485, 185 (1997).

[11] A. P. Szczepaniak and E. S. Swanson, Phys. Rev. D 55, 3987 (1997) and preprint.

[12] E. Gubankova, C.-R. Ji, and S. R. Cotanch, to be published and private communication.

[14] A. Dobado, A. Gomez-Nicola, A. L. Maroto, and J. R. Pelaez, Effective Lagrangians for the Standard Model (Springer-Verlag, New York, 1997). [OpenAIRE]

[15] J. Gasser and H. Leutwyler, Ann. Phys. 158, 142 (1984).

[16] P. Maris and C. D. Roberts, Phys. Rev. C 56, 3369 (1997).

[17] J. M. Eisenberg and W. Greiner, Nuclear Theory, Vol. 2 Appendix A and Vol. 3, (North Holland, 1976).

22 references, page 1 of 2
Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue
publication . Article . Preprint . 2001

relativistic many body hamiltonian approach to mesons

Llanes-Estrada, Felipe J.; Cotanch, Stephen R.;