More detailed properties of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ρ</mi></math></span> and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>φ</mi></math></span> mesons from QCD sum rules

Ľubomír Martinovič

doi:10.1103/PhysRevD.41.1709

Access by Xinjiang University

More detailed properties of $ρ$ and $φ$ mesons from QCD sum rules

Ľubomír Martinovič

Joint Institute for Nuclear Research, Dubna, Head Post Office P.O. Box 79, 10100 Moscow, Union of Soviet Socialist Republics
Institute of Physics of the Electro-Physical Research Center, Slovak Academy of Sciences, 842 28 Bratislava, Czechoslovakia

PDF

Phys. Rev. D 41, 1709 – Published 1 March, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.1709

Abstract

We reexamine the genuine Borel QCD sum rules for the $ρ$ and $φ$ mesons using a simple numerical method to flatten the sum-rule $M^{2}$ dependence in a wide range of $M^{2}$ . Following Das et al., the imaginary part of the corresponding polarization operator is written in terms of the pion or kaon electromagnetic form factor, which we parametrize by means of simple formulas obeying requirements of analyticity and depending on the mass, the width, and the vector-meson-dominance coupling-constant ratio for the given vector meson. The determined resonance parameters are close to their experimental values. Furthermore, the influence of the "nonstandard" values of the gluon and four-quark condensates on the vector-meson properties is also studied.

References (22)

M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B147, 385 (1979) ibid.B147, 448 (1979)
L. J. Reinders, H. Rubinstein, and S. Yazaki, Phys. Rep. 127, 1 (1985)
R. A. Bertlmann, Institut für Theoretische Physik, Universität Wien, Report No. UWThPh-1988-26 (unpublished)
A. Das, V. S. Mathur, and P. Panigrahi, Phys. Rev. D 35, 2178 (1987)
B. L. Ioffe and A. V. Smilga, Nucl. Phys. B216, 373 (1983)
Particle Data Group, G. P. Yost et al., Phys. Lett. B 204, 1 (1988)
R. A. Bertlmann et al., Z. Phys. C 39, 231 (1988)
C. A. Dominguez and J. Sola, Z. Phys. C 40, 63 (1988)
V. Gimenez, J. A. Peñarocha, and J. Bordes, Phys. Lett. B 214, 247 (1988)
G. J. Gounaris and J. J. Sakurai, Phys. Rev. Lett. 21, 244 (1968)
S. Dubnička and Ľ. Martinovič, J. Phys. G (to be published)
S. Dubnička, JINR, Dubna, Report No. E2-88-840 (unpublished)
S. Dubnička, Nuovo Cimento 100A, 1 (1988)
M. Gourdin, Phys. Rep. 11C, 29 (1974)
S. Narison and E. de Rafael, Phys. Lett. 103B, 57 (1981)
S. Narison, Phys. Lett. B 216, 191 (1988)
J. J. Sakurai, Currents and Mesons (University of Chicago Press, Chicago, 1967)
C. A. Dominguez, Phys. Rev. D 25, 3084 (1982)
G. Launer, S. Narison, and R. Tarrach, Z. Phys. C 25, 151 (1984)
M. Kremer, N. A. Papadopoulos, and K. Schilcher, Phys. Lett. 143B, 476 (1984)
S. R. Amendolia et al., Nucl. Phys. B277, 168 (1986)
B. Hyams et al., Nucl. Phys. B64, 134 (1973)

[c1] M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B147, 385 (1979) ibid.B147, 448 (1979)

[c2] L. J. Reinders, H. Rubinstein, and S. Yazaki, Phys. Rep. 127, 1 (1985)

[c3] R. A. Bertlmann, Institut für Theoretische Physik, Universität Wien, Report No. UWThPh-1988-26 (unpublished)

[c4] A. Das, V. S. Mathur, and P. Panigrahi, Phys. Rev. D 35, 2178 (1987)

[c5] B. L. Ioffe and A. V. Smilga, Nucl. Phys. B216, 373 (1983)

[c6] Particle Data Group, G. P. Yost et al., Phys. Lett. B 204, 1 (1988)

[c7] R. A. Bertlmann et al., Z. Phys. C 39, 231 (1988)

[c8] C. A. Dominguez and J. Sola, Z. Phys. C 40, 63 (1988)

[c9] V. Gimenez, J. A. Peñarocha, and J. Bordes, Phys. Lett. B 214, 247 (1988)

[c10] G. J. Gounaris and J. J. Sakurai, Phys. Rev. Lett. 21, 244 (1968)

[c11] S. Dubnička and Ľ. Martinovič, J. Phys. G (to be published)

[c12] S. Dubnička, JINR, Dubna, Report No. E2-88-840 (unpublished)

[c13] S. Dubnička, Nuovo Cimento 100A, 1 (1988)

[c14] M. Gourdin, Phys. Rep. 11C, 29 (1974)

[c15] S. Narison and E. de Rafael, Phys. Lett. 103B, 57 (1981)

[c16] S. Narison, Phys. Lett. B 216, 191 (1988)

[c17] J. J. Sakurai, Currents and Mesons (University of Chicago Press, Chicago, 1967)

[c18] C. A. Dominguez, Phys. Rev. D 25, 3084 (1982)

[c19] G. Launer, S. Narison, and R. Tarrach, Z. Phys. C 25, 151 (1984)

[c20] M. Kremer, N. A. Papadopoulos, and K. Schilcher, Phys. Lett. 143B, 476 (1984)

[c21] S. R. Amendolia et al., Nucl. Phys. B277, 168 (1986)

[c22] B. Hyams et al., Nucl. Phys. B64, 134 (1973)

Physical Review D

Export citation

Export citation

More detailed properties of $ρ$ and $φ$ mesons from QCD sum rules

Abstract

References (22)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

More detailed properties of ρ and φ mesons from QCD sum rules

Abstract

References (22)

More detailed properties of $ρ$ and $φ$ mesons from QCD sum rules