Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-01-27
International Journal of Modern Physics A Vol. 25, No. 16 (2010) 3235-3259
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, 4 figures. Submitted to Int. J. Mod. Phys. A
Scientific paper
10.1142/S0217751X10049190
The Bohr-Sommerfeld quantization rule and the Gamow formula for the width of quasistationary level are generalized by taking into account the relativistic effects, spin and Lorentz structure of interaction potentials. The relativistic quasi-classical theory of ionization of the Coulomb system (V_{Coul}=-\xi/r) by radial-constant long-range scalar (S_{l.r.}=(1-\lambda)(\sigma r+V_0)) and vector (V_{l.r.}=\lambda(\sigma r+V_0)) fields is constructed. In the limiting cases the approximated analytical expressions for the position E_r and width \Gamma of below-barrier resonances are obtained. The strong dependence of the width \Gamma of below-barrier resonances on both the bound level energy and the mixing constant \lambda is detected. The simple analytical formulae for asymptotic coefficients of the Dirac radial wave functions at zero and infinity are also obtained.
Lazur Yu. V.
Reity O. K.
Rubish V. V.
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