Simple relativistic quark-model analysis of flavored pseudoscalar mesons

Chueng-Ryong Ji; Stephen R. Cotanch

doi:10.1103/PhysRevD.41.2319

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Simple relativistic quark-model analysis of flavored pseudoscalar mesons

Chueng-Ryong Ji and Stephen R. Cotanch

Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202

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Phys. Rev. D 41, 2319 – Published 1 April, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.2319

Abstract

Using a simple relativistic quark model suggested by Dziembowski et al., we study the open flavored pseudoscalar meson, i.e., $Q \bar{q}$ , where $Q$ is $s$ or $c$ and $q$ is $u$ or $d$ . Our analysis, which is a straightforward extension of their previous treatment for the pion, focuses on the kaon to provide further tests of this approach. Our results support the utility of this model as the predictions for the kaon charge radius ${〈 r_{K}^{2} 〉}^{\frac{1}{2}}$ , the kaon form factor $F_{K}$ , and the decay constant $f_{K}$ compare favorably with experimental data.

References (14)

Z. Dziembowski and L. Mankiewicz, Phys. Rev. Lett. 58, 2175 (1987) Z. Dziembowski, Phys. Rev. D 37, 2030 (1988) ibid.37, 768 (1988) ibid.37, 778 (1988) J. Bienkowska, Z. Dziembowski, and H. J. Weber, Phys. Rev. Lett. 59, 624 (1987) H. J. Weber, Ann. Phys. (N.Y.) 177, 38 (1987) Phys. Lett. B 209, 425 (1988) Reports Nos. UVa-INPP-89-15 and UVa-INPP-89-16 (unpublished) Z. Dziembowski, in Proceedings of Nuclear and Particle Physics on the Light Cone, proceedings of the Workshop, Los Alamos, New Mexico, 1988, edited by M. Johnson and L. Kisslinger, (World Scientific, Singapore, 1989)
V. L. Chernyak and A. R. Zhitnitsky, Nucl. Phys. B201, 492 (1982) ibid.B204, 477 (1982) Phys. Rep. 112, 175 (1984)
Z. Dziembowski, H. J. Weber, L. Mankiewicz, and A. Szczepaniak, Phys. Rev. D 39, 3257 (1989)
S. J. Brodsky and C.-R. Ji, in Application of Quantum Chromodynamics to Hadronic and Nuclear Interactions, edited by C. A. Engelbrecht (Lecture Notes in Physics Vol. 248) (Springer, Berlin, 1985), p. 153
C.-R. Ji, in Proceedings of Nuclear and Particle Physics on the Light Cone ([1])
S. J. Brodsky, T. Huang, and G. P. Lepage, in Quarks and Nuclear Forces, edited by D. Fries and B. Zeitnitz (Springer, Tracts in Modern Physics, Vol. 100) (Springer, New York, 1982)
H. J. Melosh, Phys. Rev. D 9, 1095 (1974) L. A. Kondratyuk and M. V. Terentyev, Yad. Fiz. 31, 1087 (1980) [Sov. J. Nucl. Phys. 31, 561 (1980)]
Z. Dziembowski, Phys. Rev. D 37, 778 (1988)
G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2175 (1980)
S. J. Brodsky and C.-R. Ji, Phys. Rev. Lett. 55, 2257 (1985)
S. R. Amendolia et al., Phys. Lett. B 178, 435 (1986)
F. Halzen and A. D. Martin, Quark and Leptons (Wiley, New York, 1984), p. 64
B. Bagchi, A. Lahiri, and S. Niyogi, Phys. Rev. D 39, 3384 (1989) N. A. Aboud and J. R. Hiller, ibid. 41, 937 (1990) O. C. Jacob and L. S. Kisslinger, Phys. Rev. Lett. 56, 225 (1986) P. L. Chung, F. Coester, and W. Polyzou, Phys. Lett. B 205, 545 (1988) V. Bernard and U.-G. Meissner, Phys. Rev. Lett. 61, 2296 (1988) N. N. Singh and A. N. Mitra, Phys. Rev. D 38, 1454 (1988)
Z. Dziembowski and L. Mankiewicz, Phys. Rev. Lett. 55, 1839 (1985)

[c1] Z. Dziembowski and L. Mankiewicz, Phys. Rev. Lett. 58, 2175 (1987) Z. Dziembowski, Phys. Rev. D 37, 2030 (1988) ibid.37, 768 (1988) ibid.37, 778 (1988) J. Bienkowska, Z. Dziembowski, and H. J. Weber, Phys. Rev. Lett. 59, 624 (1987) H. J. Weber, Ann. Phys. (N.Y.) 177, 38 (1987) Phys. Lett. B 209, 425 (1988) Reports Nos. UVa-INPP-89-15 and UVa-INPP-89-16 (unpublished) Z. Dziembowski, in Proceedings of Nuclear and Particle Physics on the Light Cone, proceedings of the Workshop, Los Alamos, New Mexico, 1988, edited by M. Johnson and L. Kisslinger, (World Scientific, Singapore, 1989)

[c2] V. L. Chernyak and A. R. Zhitnitsky, Nucl. Phys. B201, 492 (1982) ibid.B204, 477 (1982) Phys. Rep. 112, 175 (1984)

[c3] Z. Dziembowski, H. J. Weber, L. Mankiewicz, and A. Szczepaniak, Phys. Rev. D 39, 3257 (1989)

[c4] S. J. Brodsky and C.-R. Ji, in Application of Quantum Chromodynamics to Hadronic and Nuclear Interactions, edited by C. A. Engelbrecht (Lecture Notes in Physics Vol. 248) (Springer, Berlin, 1985), p. 153

[c5] C.-R. Ji, in Proceedings of Nuclear and Particle Physics on the Light Cone ([1])

[c6] S. J. Brodsky, T. Huang, and G. P. Lepage, in Quarks and Nuclear Forces, edited by D. Fries and B. Zeitnitz (Springer, Tracts in Modern Physics, Vol. 100) (Springer, New York, 1982)

[c7] H. J. Melosh, Phys. Rev. D 9, 1095 (1974) L. A. Kondratyuk and M. V. Terentyev, Yad. Fiz. 31, 1087 (1980) [Sov. J. Nucl. Phys. 31, 561 (1980)]

[c8] Z. Dziembowski, Phys. Rev. D 37, 778 (1988)

[c9] G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2175 (1980)

[c10] S. J. Brodsky and C.-R. Ji, Phys. Rev. Lett. 55, 2257 (1985)

[c11] S. R. Amendolia et al., Phys. Lett. B 178, 435 (1986)

[c12] F. Halzen and A. D. Martin, Quark and Leptons (Wiley, New York, 1984), p. 64

[c13] B. Bagchi, A. Lahiri, and S. Niyogi, Phys. Rev. D 39, 3384 (1989) N. A. Aboud and J. R. Hiller, ibid. 41, 937 (1990) O. C. Jacob and L. S. Kisslinger, Phys. Rev. Lett. 56, 225 (1986) P. L. Chung, F. Coester, and W. Polyzou, Phys. Lett. B 205, 545 (1988) V. Bernard and U.-G. Meissner, Phys. Rev. Lett. 61, 2296 (1988) N. N. Singh and A. N. Mitra, Phys. Rev. D 38, 1454 (1988)

[c14] Z. Dziembowski and L. Mankiewicz, Phys. Rev. Lett. 55, 1839 (1985)

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Simple relativistic quark-model analysis of flavored pseudoscalar mesons

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