Abstract:
We propose a quark confinement model based on singular solutions of the classical Yang–Mills equations. In this model, we evaluate hadron masses with the quarks in the ground state. Our results fit the experimental mass values with an accuracy of 3–5 % pseudoscalar mesons.
Citation:
F. A. Lunev, O. V. Pavlovskii, “Singular solutions of the Yang–Mills equations and bag models”, TMF, 117:2 (1998), 163–174; Theoret. and Math. Phys., 117:2 (1998), 1241–1250
\Bibitem{LunPav98}
\by F.~A.~Lunev, O.~V.~Pavlovskii
\paper Singular solutions of the Yang--Mills equations and bag models
\jour TMF
\yr 1998
\vol 117
\issue 2
\pages 163--174
\mathnet{http://mi.mathnet.ru/tmf924}
\crossref{https://doi.org/10.4213/tmf924}
\zmath{https://zbmath.org/?q=an:0952.81062}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 117
\issue 2
\pages 1241--1250
\crossref{https://doi.org/10.1007/BF02557164}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000079019400001}
Linking options:
https://www.mathnet.ru/eng/tmf924
https://doi.org/10.4213/tmf924
https://www.mathnet.ru/eng/tmf/v117/i2/p163
This publication is cited in the following 6 articles:
Thomas L. Wilson, “A New Strategy for Solving Two Cosmological Constant Problems in Hadron Physics”, JMP, 04:05 (2013), 686
Singleton, D, “A Schwarzschild-like model for baryons”, Foundations of Physics Letters, 15:3 (2002), 263
Pavlovsky, OV, “Yang-Mills theory as bimetrical gravity: Polarization effects and finite-energy gluon clusters”, Nuclear Physics B-Proceedings Supplements, 104 (2002), 254
Pavlovski, OV, “Gluon cluster solution in effective Yang-Mills theory”, Physics of Atomic Nuclei, 64:11 (2001), 2020
Pavlovsky, OV, “Vacuum polarization effect and problem of finite-energy cluster generation in QCD: effective field theory approach”, Czechoslovak Journal of Physics, 51 (2001), 160
Pavlovskii, OV, “A finite-energy solution in Yang-Mills theory and quantum fluctuations”, Physics Letters B, 485:1–3 (2000), 151