SPIN 2 PARTICLE IN THE COULOMB FIELD, STATES WITH MINIMAL VALUE OF THE QUANTUM NUMBER \(j=0\)

Анатацыя

The main goal of this study is to derive the non-relativistic system of equations for a spin 2 particle in presence of the external Coulomb field, then to solve it and to find the relevant energy spectra. We started with the known radial system of 39 equations derived for the case of a free particle and modified to take into account the presence of the Coulomb field. After eliminating the 28 components related to vector and 3-rank tensor, we get the system of second order for 11 components referring to scalar and symmetric tensor. Previously, the problem of a non-relativistic spin 2 particle in external Coulomb field was studied. In turned out that this study did not cover the case of minimal value of the quantum number, \(j=0\). In the present paper, this special situation is  solved, the corresponding energy spectrum is found.