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DC Field | Value | Language |
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dc.contributor.author | Лазур, Володимир Юрійович | - |
dc.contributor.author | Рейтій, Олександр Костянтинович | - |
dc.contributor.author | Рубіш, Василь Васильович | - |
dc.date.accessioned | 2016-07-08T21:00:21Z | - |
dc.date.available | 2016-07-08T21:00:21Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Lazur V.Yu., Reity O.K., Rubish V.V. Quasiclassical theory of the Dirac equation with a scalar-vector interaction and its applications in the physics of heavy-light mesons // Phys. Rev. D. – 2011. – V. 83, Issue 7. – 076003 (23 pp). | uk |
dc.identifier.uri | https://dspace.uzhnu.edu.ua/jspui/handle/lib/9275 | - |
dc.description.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 $V_{\mathrm{l.r.}}(r)$. The quasiclassical formulas for asymptotic coefficients of wave function at zero and infinity are obtained. | uk |
dc.language.iso | en | uk |
dc.publisher | American Physical Society | uk |
dc.subject | Метод ВКБ, рівняння Дірака, лоренц-векторна взаємодія, лоренц-скалярна взаємодія | uk |
dc.subject | потенціальні моделі, мезони | uk |
dc.title | Quasiclassical theory of the Dirac equation with a scalar-vector interaction and its applications in the physics of heavy-light mesons | uk |
dc.type | Text | uk |
dc.pubType | Стаття | uk |
Appears in Collections: | Наукові публікації кафедри диференціальних рівнянь та математичної фізики Наукові публікації кафедри твердотільної електроніки з/с інформаційної безпеки |
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