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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 114, Number 2, Pages 277–295
DOI: https://doi.org/10.4213/tmf840
(Mi tmf840)
 

This article is cited in 7 scientific papers (total in 7 papers)

Classification of rotational motions for the baryon model “triangle”

G. S. Sharov

Tver State University
Full-text PDF (286 kB) Citations (7)
References:
Abstract: A baryon model with three particles (quarks) pairwise connected by relativistic strings forming a curvilinear triangle is considered. The classical analytic solutions corresponding to a uniform plane rotation of the system with arbitrary quark masses mi are found for this model. The sections of the related world surfaces by the plane t=const are curvilinear triangles composed of segments of a hypocycloid. A complete classification of the types of motion is suggested, based on differences in topological configuration and the presence and number of interior massless points on the string that move at the velocity of light. The classification results from investigating the limiting states as mi0. The calculated energy dependence of the angular momentum of the motions creates possibilities to model baryon states on Regge trajectories using these motions.
Received: 16.07.1997
English version:
Theoretical and Mathematical Physics, 1998, Volume 114, Issue 2, Pages 220–234
DOI: https://doi.org/10.1007/BF02557119
Bibliographic databases:
Language: Russian
Citation: G. S. Sharov, “Classification of rotational motions for the baryon model “triangle””, TMF, 114:2 (1998), 277–295; Theoret. and Math. Phys., 114:2 (1998), 220–234
Citation in format AMSBIB
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\by G.~S.~Sharov
\paper Classification of rotational motions for the baryon model ``triangle''
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\pages 277--295
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\zmath{https://zbmath.org/?q=an:0992.81525}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 114
\issue 2
\pages 220--234
\crossref{https://doi.org/10.1007/BF02557119}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000074933600005}
Linking options:
  • https://www.mathnet.ru/eng/tmf840
  • https://doi.org/10.4213/tmf840
  • https://www.mathnet.ru/eng/tmf/v114/i2/p277
  • This publication is cited in the following 7 articles:
    1. Ghalenovi Z., “Study of Electromagnetic Properties of Light Baryons in the Hypercentral Approach”, Int. J. Theor. Phys., 57:9 (2018), 2628–2639  crossref  mathscinet  isi  scopus
    2. A. E. Milovidov, G. S. Sharov, “Closed relativistic strings in geometrically nontrivial spaces”, Theoret. and Math. Phys., 142:1 (2005), 61–70  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. M. V. Pavlov, “The description of pairs of compatible first-order differential geometric poisson brackets”, Theor Math Phys, 142:2 (2005), 244  crossref
    4. M. V. Pavlov, “The description of pairs of compatible first-order differential geometric poisson brackets”, Theoret. and Math. Phys., 142:2 (2005), 244–258  mathnet  mathnet  crossref  crossref  isi
    5. Laura González, Juan Carvajal, “Life cycle of Caligus rogercresseyi, (Copepoda: Caligidae) parasite of Chilean reared salmonids”, Aquaculture, 220:1-4 (2003), 101  crossref
    6. Inopin A., Sharov G.S., “Hadronic Regge trajectories: Problems and approaches”, Physical Review D, 63:5 (2001), 054023  crossref  adsnasa  isi
    7. Sharov, GS, “String models of the baryons and Regge trajectories”, Physics of Atomic Nuclei, 62:10 (1999), 1705  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:372
    Full-text PDF :189
    References:49
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