An approximate solution method for the quasipotential equations with local spin-orbital potentials

Frontiers in Theoretical and Applied Physics/UAE 2017

Fialka, S.I.^1 ; Kapshai, V.N.^1 ; Grishechkin, Y.A.^1

Department of Physics, Gomel State University, 104 Sovetskaya str., Gomel

246019, Belarus^1

关键词: Approximate solution;    Delta-potentials;    Exact solution;    Local spin;    Potential parameters;    Quasi potentials;    Resonant state;    Scattering cross section;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/869/1/012013/pdf
DOI  :  10.1088/1742-6596/869/1/012013

来源: IOP

【 摘 要 】

An exact solution of partial quasipotential equations for spin-0 and spin-1/2 particles with superposition of N δ-potentials is obtained. Based on this, a method for an approximate solution using a superposition of δ-potentials instead of an arbitrary smooth potential is presented. A smooth analytic potential allowing existence of resonant states is considered. Scattering cross section dependences on various potential parameters are investigated.