Heavy quark symmetry, chiral symmetry, and parity doublets of heavy mesons in the Bethe-Salpeter approach

C. S. Huang

doi:10.1103/PhysRevD.51.1243

Access by Xinjiang University

Heavy quark symmetry, chiral symmetry, and parity doublets of heavy mesons in the Bethe-Salpeter approach

C. S. Huang

Institut für Physik, Universität Dortmund, D-44221 Dortmund, Germany
Institute of Theoretical Physics, Academia Sinica, 100080 Beijing, China

PDF

Phys. Rev. D 51, 1243 – Published 1 February, 1995

DOI: https://doi.org/10.1103/PhysRevD.51.1243

Abstract

It is shown that there must exist degenerate parity doublets of heavy mesons with arbitrary spin if QCD possesses both heavy quark and chiral symmetries. The chiral symmetric pahase and chiral broken phase can be dynamically turned in the Bethe-Salpeter approach. In the chiral broken phase the mass splittings of the parity doublets can be calculated and they are proportional to the constituent mass m of the light quark to order m/ $Λ_{χ}$ .

References (16)

M.B. Voloshin and M.A. Shifman, Yad. Fiz. 47, 801 (1988) [Sov. J. Nucl. Phys. 47, 511 (1988)].
N. Isgur and M.B. Wise, Phys. Lett. B 232, 113 (1989); ibid. 237, 527 (1990).
E. Eichten and B. Hill, Phys. Lett. B 234, 511 (1990).
H. Georgi, Phys. Lett. B 240, 447 (1990).
B. Grinstein, Nucl. Phys. B339, 253 (1990).
A.F. Falk, H. Georgi, B. Grinstein and M.B. Wise, Nucl. Phys. B343, 1 (1990).
F. Hussain, J.G. Körner and R. Migneron, Phys. Lett. B 248, 290 (1990).
N. Isgur and M.B. Wise, Phys. Rev. Lett. 66, 1132 (1991).
Y.B. Dai, C.S. Huang and H.Y. Jin, Z. Phys. C 60, 527 (1993).
M.B. Wise, Phys. Rev. D 45, 2188 (1992).
W.A. Bardeen and C.T. Hill, Phys. Rev. D 49, 409 (1994).
K.D. Lane, Phys. Rev. D 10, 234 (1980); J. Finger and J. Mandula, Nucl. Phys. B199, 168 (1982); K. Higashijima, Phys. Rev. D 29, 1228 (1984); V.A. Miransky, V.P. Gusynin and Y.A. Sitenko, Phys. Lett. 100B, 157 (1981).
J. Govaerts, J.E. Mandula and J. Weyers, Phys. Lett. 130B, 427 (1983); S.L. Adler and A.C. Davis, Nucl. Phys. B244, 469 (1984).
R. Alkofer and P.A. Amundsen, Nucl. Phys. B306, 305 (1988).
Y.B. Dai, C.S. Huang and D.S. Liu, Phys. Rev. D 43, 1717 (1991).
Y.B. Dai, C.S. Huang, and H.Y. Jin, Report No. AS ITP 93 68 (unpublished).

[c1] M.B. Voloshin and M.A. Shifman, Yad. Fiz. 47, 801 (1988) [Sov. J. Nucl. Phys. 47, 511 (1988)].

[c2] N. Isgur and M.B. Wise, Phys. Lett. B 232, 113 (1989); ibid. 237, 527 (1990).

[c3] E. Eichten and B. Hill, Phys. Lett. B 234, 511 (1990).

[c4] H. Georgi, Phys. Lett. B 240, 447 (1990).

[c5] B. Grinstein, Nucl. Phys. B339, 253 (1990).

[c6] A.F. Falk, H. Georgi, B. Grinstein and M.B. Wise, Nucl. Phys. B343, 1 (1990).

[c7] F. Hussain, J.G. Körner and R. Migneron, Phys. Lett. B 248, 290 (1990).

[c8] N. Isgur and M.B. Wise, Phys. Rev. Lett. 66, 1132 (1991).

[c9] Y.B. Dai, C.S. Huang and H.Y. Jin, Z. Phys. C 60, 527 (1993).

[c10] M.B. Wise, Phys. Rev. D 45, 2188 (1992).

[c11] W.A. Bardeen and C.T. Hill, Phys. Rev. D 49, 409 (1994).

[c12] K.D. Lane, Phys. Rev. D 10, 234 (1980); J. Finger and J. Mandula, Nucl. Phys. B199, 168 (1982); K. Higashijima, Phys. Rev. D 29, 1228 (1984); V.A. Miransky, V.P. Gusynin and Y.A. Sitenko, Phys. Lett. 100B, 157 (1981).

[c13] J. Govaerts, J.E. Mandula and J. Weyers, Phys. Lett. 130B, 427 (1983); S.L. Adler and A.C. Davis, Nucl. Phys. B244, 469 (1984).

[c14] R. Alkofer and P.A. Amundsen, Nucl. Phys. B306, 305 (1988).

[c15] Y.B. Dai, C.S. Huang and D.S. Liu, Phys. Rev. D 43, 1717 (1991).

[c16] Y.B. Dai, C.S. Huang, and H.Y. Jin, Report No. AS ITP 93 68 (unpublished).

Physical Review D

Export citation

Export citation

Heavy quark symmetry, chiral symmetry, and parity doublets of heavy mesons in the Bethe-Salpeter approach

Abstract

References (16)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation