TY - JOUR AU - Vasilevsky, V. S. AU - Soloha-Klymchak, M. D. PY - 2019/01/19 Y2 - 2024/03/28 TI - T-Matrix in Discrete Oscillator Representation JF - Ukrainian Journal of Physics JA - Ukr. J. Phys. VL - 60 IS - 4 SE - Nuclei and nuclear reactions DO - 10.15407/ujpe60.04.0297 UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019241 SP - 297 AB - <p>We investigate T-matrix for bound and continuous-spectrum states in the discrete oscillator representation. The investigation is carried out for a model problem – the particle in the field of a central potential. A system of linear equations is derived to determine the coefficients of the T-matrix expansion in the oscillator functions. We selected four potentials (Gaussian, exponential, Yukawa, and square-well ones) to demonstrate peculiarities of the T-matrix and its dependence on the potential shape. We also study how the T-matrix expansion coefficients depend on the parameters of the oscillator basis such as the oscillator length and the number of basis functions involved in calculations.</p> ER -