Different Methods for the Two-Nucleon T-Matrix in the Operator Form |
| |
Authors: | J Golak R Skibiński H Wita?a K Topolnicki W Gl?ckle A Nogga H Kamada |
| |
Institution: | 1. M. Smoluchowski Institute of Physics, Jagiellonian University, 30059, Kraków, Poland 2. Institut für Theoretische Physik II, Ruhr-Universit?t Bochum, 44780, Bochum, Germany 3. Forschungszentrum Jülich, Institut für Kernphysik, Institute for Advanced Simulation and Jülich Center for Hadron Physics, 52425, Jülich, Germany 4. Department of Physics, Faculty of Engineering, Kyushu Institute of Technology, 1-1 Sensuicho Tobata, Kitakyushu, 804-8550, Japan
|
| |
Abstract: | We compare three methods to calculate the nucleon–nucleon t-matrix based on the three-dimensional formulation of Golak et al. (Phys Rev C 81:034006, 2010). In the first place we solve a system of complex linear inhomogeneous equations directly for the t-matrix. Our second method is based on iterations and a variant of the Lanczos algorithm. In the third case we obtain the t-matrix in two steps, solving a system of real linear equations for the k-matrix expansion coefficients and then solving an on-shell equation, which connects the scalar coefficients of the k- and t-matrices. A very good agreement among the three methods is demonstrated for selected nucleon–nucleon scattering observables using a chiral next-to-next-to-leading-order neutron–proton potential. We also apply our three-dimensional framework to the demanding problem of proton–proton scattering, using a corresponding version of the nucleon–nucleon potential and supplementing it with the (screened) Coulomb force, taken also in the three-dimensional form. We show converged results for two different screening functions and find a very good agreement with other methods dealing with proton–proton scattering. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|