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ISSN 2071-0186   Ukr. J. Phys. 2015, Vol. 60, N 4, p.297-308
doi:10.15407/ujpe60.04.0297    Paper

Vasilevsky V.S., Soloha-Klymchak M.D.

Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
(14b, Metrolohichna Str., Kyiv 03680, Ukraine; e-mail: VSVasilevsky@gmail.com)

T-Matrix in Discrete Oscillator Representation

Section: Nuclei and nuclear reactions
Language: English

Abstract: 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.

Key words: T-matrix, oscillator basis, scattering, convergence.