Abstract
New relations between the Borel QCD sum rules for the strong couplings of the Σ0 and Λ hyperons are derived. It is shown that, using the sum rules for g MΣΣ, M = π 0, η, as a starting point, one can readily obtain the corresponding sum rules for the coupling constants g ηΛΛ and g πΛΣ 0. The values of these constants are calculated in a specific parameter region.
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References
Vacuum Structure and QCD Sum Rules, Ed. by M. A. Shifman (North-Holland, Amsterdam, 1992).
B. L. Ioffe, Nucl. Phys. B 188, 317 (1981); 191, 591 (Erratum) (1981).
V. M. Belyaev and B. L. Ioffe, Zh. Éksp. Teor. Fiz. 83, 876 (1982) [Sov. Phys. JETP 56, 493 (1982)].
V. M. Belyaev and B. L. Ioffe, Zh. Éksp. Teor. Fiz. 84, 1236 (1983) [Sov. Phys. JETP 57, 716 (1983)].
B. L. Ioffe and A. V. Smilga, Nucl. Phys. B 232, 109 (1984).
B. L. Ioffe and A. V. Smilga, Phys. Lett. B 133, 436 (1983).
I. I. Balitsky and A. V. Yung, Phys. Lett. B 129, 328 (1983).
Ch. B. Chiu, S. L. Wilson, J. Pasupathy, and J. P. Singh, Phys. Rev. D 36, 1553 (1987).
T. M. Aliev, A. Özpineci, and M. Savci, Phys. Rev. D 64, 034001 (2001).
S. Zhu, W.-Y. P. Hwang, and Z. Yang, Phys. Rev. D 47, 3001 (1993).
A. Özpineci, S. B. Yakovlev, V. S. Zamiralov, hepph/0310345; Preprint No. 2003-18/731, RINP MSU (Research Institute of Nuclear Physics, Moscow State Univ., Moscow, 2003).
V. S. Zamiralov, A. Özpinechi, and S. B. Yakovlev, Yad. Fiz. 68, 304 (2005) [Phys. At. Nucl. 68, 279 (2005)]; hep-ph/0311271.
S. Choe, M. K. Cheoun, and Su H. Lee, Phys. Rev. C 53, 1363 (1996).
S. Choe, Phys. Rev. C 57, 2061 (1998).
M. E. Bracco, F. S. Navarra, and M. Nielsen, Phys. Lett. B 454, 346 (1999).
H. Kim, T. Doi, M. Oka, and S. H. Lee, Nucl. Phys. A 662, 371 (2000).
H. Kim, T. Doi, and M. Oka, Nucl. Phys. A 678, 295 (2000).
T. Doi, H. Kim, and M. Oka, Phys. Rev. C 62, 055202 (2000).
T. Doi, Y. Kondo, and M. Oka, hep-ph/0311117.
A. Özpineci, S. B. Yakovlev, and V. S. Zamiralov, Preprint No 2004-12/751, INP MSU (Institute of Nuclear Physics, Moscow State Univ., Moscow, 2004).
Nguen Van Kh’eu, Lectures on the Theory of Unitary Symmetry of Elementary Particles (Atomizdat, Moscow, 1967).
D. B. Leinweber, R. M. Woloshyn, and T. Draper, Phys. Rev. D 43, 1659 (1991).
D. B. Leinweber, Phys. Rev. D 69, 014005 (2004).
V. M. Belyaev, V. M. Braun, A. Khodjamirian, and R. Rückl, Phys. Rev. D 51, 6177 (1995).
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Original Russian Text © V.S. Zamiralov, A. Özpineci, S.B. Yakovlev, 2006, published in Yadernaya Fizika, 2006, Vol. 69, No. 3, pp. 532–541.
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Zamiralov, V.S., Özpineci, A. & Yakovlev, S.B. Sum rules in QCD for g ηΛΛ and g πΛΣ . Phys. Atom. Nuclei 69, 510–519 (2006). https://doi.org/10.1134/S1063778806030136
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DOI: https://doi.org/10.1134/S1063778806030136