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Title: | Quasiclassical theory of the Dirac equation with a scalar-vector interaction and its applications in the physics of heavy-light mesons |
Authors: | Lazur, V. Yu. Rubish, V.V. Reity, O.K. |
Keywords: | Dirac equation; Lorentz structure of interaction potential; quark; meson. |
Issue Date: | 2019 |
Publisher: | Printed in the Institute of Experimental Physics, Slovakia |
Citation: | V.Yu. Lazur, V.V. Rubish, O.K. Reity. Quasiclassical theory of the Dirac equation with a scalar-vector interaction and its applications in the physics of heavy-light mesons // Proceedings of the 20th Small Triangle Meeting (October 7-10, 2018, Ptičie, Slovakia). – Kosice: Printed in the Institute of Experimental Physics. – 2019. – P. 171-184. |
Abstract: | We construct a relativistic potential quark model of $D$, $D_s$, $B$, and $B_s$ mesons in which the light quark motion is described by the Dirac equation with a scalar-vector interaction and the heavy quark is considered a local source of the gluon field. %The effective interquark interaction is described by a combination of the perturbative one-gluon exchange potential $V_{\mathrm{Coul}}(r)=-\xi/r$ and the long-range Lorentz-scalar and Lorentz-vector linear potentials $S_{\mathrm{l.r.}}(r)=(1-\lambda)(\sigma r+V_0)$ and $V_{\mathrm{l.r.}}(r)=\lambda(\sigma r+V_0)$, where $0\leqslant\lambda<1/2$. Within the quasiclassical approximation, we obtain simple asymptotic formulas for the energy and mass spectra and for the mean radii of $D$, $D_s$, $B$, and $B_s$ mesons, which ensure a high accuracy of calculations even for states with the radial quantum number $n_r\sim 1$. We show that the fine structure of P-wave states in heavy-light mesons is primarily sensitive to the choice of two parameters: the strong-coupling constant $\alpha_s$ and the coefficient $\lambda$ of mixing of the long-range scalar and vector potentials $S_{\mathrm{l.r.}}(r)$ and $V_{\mathrm{l.r.}}(r)$ |
Type: | Text |
Publication type: | Стаття |
URI: | https://dspace.uzhnu.edu.ua/jspui/handle/lib/26816 |
ISBN: | 978-80-8143-253-8 |
Appears in Collections: | Наукові публікації кафедри твердотільної електроніки з/с інформаційної безпеки Наукові публікації кафедри теоретичної фізики |
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