S-Wave Bound- and Resonant States of Two Fermions in Simple Cubic Lattice |
| M. Bak
Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland |
| Full Text PDF |
| Resonant two-electron states are examined in attractive Hubbard model on simple cubic lattice and exact formula for scattering cross section in the limit of low density (empty lattice) is calculated. S-wave pair is considered by means of lattice Green functions (LGF). Analytical form: of these functions found by Joyce is used facilitating calculations, which were greatly hindered before by the necessity of using LGF's tabulated values. It is found that the actual peak of scattering cross-section is formed on the lower band boundary in discrepancy with formulae of the theory of scattering in solids. |
| DOI: 10.12693/APhysPolA.121.808 PACS numbers: 02.30.Gp, 03.65.Ge, 03.65.Ge, 31.15.ac, 71.10.Fd |