Nonperturbative treatment of heavy quarks and mesons

C. J. Burden; D.-S. Liu

doi:10.1103/PhysRevD.55.367

Access by Xinjiang University

Nonperturbative treatment of heavy quarks and mesons

C. J. Burden

D.-S. Liu

Department of Theoretical Physics, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT 0200, Australia

Department of Physics, University of Tasmania, GPO Box 252C, Hobart, Tasmania 7001, Australia

PDF

Phys. Rev. D 55, 367 – Published 1 January, 1997

DOI: https://doi.org/10.1103/PhysRevD.55.367

Abstract

A formalism for studying heavy quarks in terms of model Dyson-Schwinger equations is developed. The formalism is the natural extension of a technique which has proved successful in a number of studies of light hadron physics. The dressed heavy quark propagator, calculated to leading order in the inverse quark mass, is incorporated in a treatment of mesons consisting of a heavy quark and light antiquark via the ladder approximation Bethe-Salpeter equation. In the limit of infinite heavy quark mass the model is found to respect the spectrum degeneracies present in heavy quark effective theory. An exploratory numerical analysis of a simple form of the model is carried out to assess its viability for studying $D$ and $B$ mesons.

References (20)

M. Neubert, Phys. Rep.245, 259 (1994).
E. V. Shuryak, Phys. Lett.93B, 134 (1980).
J. Zeng et al., Phys. Rev. D52, 5229 (1995); H.-Y. Jin et al., Z. Phys. C56, 707 (1992); S. N. Gupta and J. M. Johnson, Phys. Rev. D51, 168 (1995); D. Ebert et al., Nucl. Phys.B434, 619 (1995); Y.-B. Dai et al., Z. Phys. C60, 527 (1993); 65, 87 (1995).
C. D. Roberts and A. G. Williams, Prog. Part. Nucl. Phys.33, 475 (1994).
C. J. Burden et al., “Ground-state spectrum of light quark mesons” Report No. nucl-th/9605027 (unpublished); in Lattice ’95, Proceedings of the International Symposium, Melbourne, Australia, edited by T. D. Kieu et al. [Nucl. Phys. B (Proc. Suppl.)47, 362 (1996)].
P. Jain and H. J. Munczek, Phys. Rev. D48, 5403 (1993); and references therein.
R. T. Cahill and S. M. Gunner, Phys. Lett. B359, 281 (1995).
C. D. Roberts, in Chiral Dynamics: Theory and Experiment, edited by A. M. Bernstein and B. R. Holstein, Lecture Notes in Physics Vol. 452 (Springer, Berlin 1995); Nucl. Phys.A605, 475 (1996); C. J. Burden et al., Phys. Lett. B371, 163 (1996).
C. D. Roberts, et al., Phys. Rev. D49, 125 (1994).
K. L. Mitchell et al., Phys. Lett. B335, 282 (1994).
M. R. Franket al., Phys. Lett. B359, 17 (1995); R. Alkofer and C. D. Roberts, 369, 101 (1996).
P. Maris, Phys. Rev. D52, 6087 (1995).
T. W. Allen and C. J. Burden, Phys. Rev. D53, 5842 (1996).
M. R. Frank and C. D. Roberts, Phys. Rev. C53, 390 (1996).
J. E. Villate et al., Phys. Rev. D47, 1145 (1993).
C. H. Llewellyn Smith, Ann. Phys. (N.Y.)53, 521 (1969).
H. J. Munczek, Phys. Rev. D28, 181 (1983); R. T. Cahill and C. D. Roberts, 32, 2419 (1985).
A. Bender et al., Phys. Lett. B380, 7 (1996).
C. J. Burden, C. D. Roberts, and A. G. Williams, Phys. Lett. B285, 347 (1992).
J. S. Ball and T.-W. Chiu, Phys. Rev. D22, 2542 (1980).

[c1] M. Neubert, Phys. Rep.245, 259 (1994).

[c2] E. V. Shuryak, Phys. Lett.93B, 134 (1980).

[c3] J. Zeng et al., Phys. Rev. D52, 5229 (1995); H.-Y. Jin et al., Z. Phys. C56, 707 (1992); S. N. Gupta and J. M. Johnson, Phys. Rev. D51, 168 (1995); D. Ebert et al., Nucl. Phys.B434, 619 (1995); Y.-B. Dai et al., Z. Phys. C60, 527 (1993); 65, 87 (1995).

[c4] C. D. Roberts and A. G. Williams, Prog. Part. Nucl. Phys.33, 475 (1994).

[c5] C. J. Burden et al., “Ground-state spectrum of light quark mesons” Report No. nucl-th/9605027 (unpublished); in Lattice ’95, Proceedings of the International Symposium, Melbourne, Australia, edited by T. D. Kieu et al. [Nucl. Phys. B (Proc. Suppl.)47, 362 (1996)].

[c6] P. Jain and H. J. Munczek, Phys. Rev. D48, 5403 (1993); and references therein.

[c7] R. T. Cahill and S. M. Gunner, Phys. Lett. B359, 281 (1995).

[c8] C. D. Roberts, in Chiral Dynamics: Theory and Experiment, edited by A. M. Bernstein and B. R. Holstein, Lecture Notes in Physics Vol. 452 (Springer, Berlin 1995); Nucl. Phys.A605, 475 (1996); C. J. Burden et al., Phys. Lett. B371, 163 (1996).

[c9] C. D. Roberts, et al., Phys. Rev. D49, 125 (1994).

[c10] K. L. Mitchell et al., Phys. Lett. B335, 282 (1994).

[c11] M. R. Franket al., Phys. Lett. B359, 17 (1995); R. Alkofer and C. D. Roberts, 369, 101 (1996).

[c12] P. Maris, Phys. Rev. D52, 6087 (1995).

[c13] T. W. Allen and C. J. Burden, Phys. Rev. D53, 5842 (1996).

[c14] M. R. Frank and C. D. Roberts, Phys. Rev. C53, 390 (1996).

[c15] J. E. Villate et al., Phys. Rev. D47, 1145 (1993).

[c16] C. H. Llewellyn Smith, Ann. Phys. (N.Y.)53, 521 (1969).

[c17] H. J. Munczek, Phys. Rev. D28, 181 (1983); R. T. Cahill and C. D. Roberts, 32, 2419 (1985).

[c18] A. Bender et al., Phys. Lett. B380, 7 (1996).

[c19] C. J. Burden, C. D. Roberts, and A. G. Williams, Phys. Lett. B285, 347 (1992).

[c20] J. S. Ball and T.-W. Chiu, Phys. Rev. D22, 2542 (1980).

Physical Review D

Export citation

Export citation

Nonperturbative treatment of heavy quarks and mesons

Abstract

References (20)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation