Abstract:
The general solution of the equations of motion of a three-string is constructed. The
explicit form of the parametrization of the initial data of all possible classes of
solutions is found and upper bounds are obtained for the slope of the classical Regge
trajectories for them.
Citation:
M. S. Plyushchai, G. P. Pron'ko, A. V. Razumov, “Baryon string model. I. Canonical formalism and general solution of the classical equations of motion of a three-string”, TMF, 63:1 (1985), 97–112; Theoret. and Math. Phys., 63:1 (1985), 389–400
\Bibitem{PlyProRaz85}
\by M.~S.~Plyushchai, G.~P.~Pron'ko, A.~V.~Razumov
\paper Baryon string model. I.~Canonical formalism and general solution of the classical equations of motion of a~three-string
\jour TMF
\yr 1985
\vol 63
\issue 1
\pages 97--112
\mathnet{http://mi.mathnet.ru/tmf4749}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=794475}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 63
\issue 1
\pages 389--400
\crossref{https://doi.org/10.1007/BF01017839}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985ATJ6000008}
Linking options:
https://www.mathnet.ru/eng/tmf4749
https://www.mathnet.ru/eng/tmf/v63/i1/p97
This publication is cited in the following 18 articles:
Masako Asano, Mitsuhiro Kato, “Quantizing a multi-pronged open string junction”, Progress of Theoretical and Experimental Physics, 2022:10 (2022)
G. S. Sharov, “Instability of string models of baryons: Character and manifestations”, Phys. Atom. Nuclei, 73:12 (2010), 2027
Sharov, GS, “Unstable rotational states of string models and width of a hadron”, Physical Review D, 79:11 (2009), 114025
Nikitin, IN, “Dirac quantization of Nambu-Goto open string theory in four-dimensional Minkowski spacetime”, Physics of Particles and Nuclei, 36:1 (2005), 51
Sharov, GS, “Instability of the Y string baryon model within classical dynamics”, Physics of Atomic Nuclei, 65:5 (2002), 906
Inopin, A, “Hadronic Regge trajectories: Problems and approaches”, Physical Review D, 6305:5 (2001), 054023
Inopin A., Sharov G.S., “Hadronic Regge trajectories: Problems and approaches”, Physical Review D, 63:5 (2001), 054023
Sharov, GS, “Quasirotational motions and stability problem in the dynamics of string hadron models”, Physical Review D, 6209:9 (2000), 094015
Sharov G.S., “Quasirotational motions and stability problem in the dynamics of string hadron models”, Physical Review D, 62:9 (2000), 094015
Sharov, GS, “String models of the baryons and Regge trajectories”, Physics of Atomic Nuclei, 62:10 (1999), 1705
G. S. Sharov, “Classification of rotational motions for the baryon model “triangle””, Theoret. and Math. Phys., 114:2 (1998), 220–234
Sharov, GS, “String baryonic model "triangle": Hypocycloidal solutions and the Regge trajectories”, Physical Review D, 5811:11 (1998), 114009
Sharov G.S., “String baryonic model "triangle": Hypocycloidal solutions and the Regge trajectories”, Physical Review D, 58:11 (1998), 114009
G. S. Sharov, “String barionic model “triangle””, Theoret. and Math. Phys., 113:1 (1997), 1263–1276
Jon Flower, “Baryons on the lattice”, Nuclear Physics B, 289 (1987), 484
M. S. Plyushchai, G. P. Pron'ko, A. V. Razumov, “Baryon string model III. Quantum theory of single-mode configurations of a three-string”, Theoret. and Math. Phys., 67:3 (1986), 576–585
S. V. Klimenko, V. N. Kochin, M. S. Plyushchai, G. P. Pron'ko, A. V. Razumov, A. V. Samarin, “Baryon string model. II. Special solutions of classical three-string equations of motion”, Theoret. and Math. Phys., 64:2 (1985), 810–819
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