Abstract
A string model of meson with massive quarks at ends is studied. As the action of the quark masses, we take (i) the length of world trajectories of the string ends (Model I), and also (ii) the integral of the geodesic curvature of world trajectories of the string ends (Model II). For these models, particular solutions of nonlinear boundary conditions are derived. For Model II the nonrelativistic limit is analysed.
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Barbashov, B.M., Koshkarov, A.L. Some solutions of boundary conditions for relativistic string with massive ends. Lett Math Phys 3, 39–46 (1979). https://doi.org/10.1007/BF00959537
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DOI: https://doi.org/10.1007/BF00959537