Abstract
We try to find grounds for the standard nucleon QCD sum rules, based on a more detailed description of the QCD vacuum. We calculate the polarization operator of the nucleon current in the instanton medium. The medium (QCD vacuum) is assumed to be a composition of the small-size instantons and some long-wave gluon fluctuations. We solve the corresponding QCD sum rule equations and demonstrate that there is a solution with the value of the nucleon mass close to the physical one if the fraction of the small-size instantons contribution is w s ≈ 2/3.
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References
M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B 147, 385, 448, 519 (1979).
B. L. Ioffe, Nucl. Phys. B 188, 317 (1981)
B. L. Ioffe, Nucl. Phys. B 191, 591(E) (1981).
B. L. Ioffe, L. N. Lipatov, and V. S. Fadin, Quantum Chromodynamics (Cambridge Univ. Press, Cambridge, 2010).
K. G. Wilson, Phys. Rev. 179, 1499 (1969).
A. V. Radyushkin, CEBAF-TH-94-13, hepph/9406237
A. P. Bakulev and S. V. Mikhailov, Phys. Rev. D: 65, 114511 (2002).
B. L. Ioffe, Z. Phys. C 18, 67 (1983).
E. V. Shuryak, The QCD Vacuum, Hadrons, and the Superdense Matter (World Scientific, Singapore, 1988).
A. Ringwald and F. Schremmp, Phys. Lett. B 459, 249 (1999).
H. Forkel, Phys. Rev. D 71, 054008 (2005).
D. I. Dyakonov and V. Yu. Petrov, Sov. Phys. JETP 62, 204 (1985).
D. I. Dyakonov and V. Yu. Petrov, Nucl. Phys. B 272, 457 (1986).
G.’t Hooft, Phys. Rev. Lett 37, 8 (1976)
G.’t Hooft, Phys. Rev. D 14, 3432 (1976).
B. L. Ioffe, Prog. Part. Nucl. Phys. 56, 232 (2006).
V. A. Novikov, M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B 174, 378 (1980).
H. Forkel and M. K. Banerjee, Phys. Rev. Lett. 71, 484 (1993).
B. L. Ioffe and A. V. Smilga, Nucl. Phys. B 232, 109 (1984).
V. A. Sadovnikova, E. G. Drukarev, and M. G. Ryskin, Phys. Rev. D 72, 114015 (2005).
M. G. Ryskin, E. G. Drukarev, and V. A. Sadovnikova, Phys. At. Nucl. 78 (4), 482 (2015).
E. G. Drukarev, M. G. Ryskin, and V. A. Sadovnikova, Phys. Rev. D 80, 014008 (2009).
E. V. Shuryak, Nucl. Phys. B 328, 85 (1989).
Y. Chung, H. G. Dosch, M. Kremer, and D. Schall, Z. Phys. C 25, 151 (1984).
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Ryskin, M.G., Drukarev, E.G. & Sadovnikova, V.A. Nucleon QCD sum rules in the instanton medium. J. Exp. Theor. Phys. 121, 408–421 (2015). https://doi.org/10.1134/S1063776115090101
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DOI: https://doi.org/10.1134/S1063776115090101