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Journal of Physical Studies 19(4), Article 4201 [9 pages] (2015)
DOI: https://doi.org/10.30970/jps.19.4201 CALCULATION OF PHASES OF NUCLEON-NUCLEON SCATTERING FOR POTENTIALS NijmI, NijmII AND Nijm93 ON THE PHASE-FUNCTION METHODV. I. Zhaba
Uzhgorod National University, Department of Theoretical Physics, |
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For the calculation of single-channel nucleon-nucleon scattering the phase-functions method has been proposed. Using the phase-functions method the following phase shifts of a nucleon-nucleon scattering are calculated numerically: $nn$ ($\!^{1}$S$_{0}$-, $\!^{3}$P$_{0}$-, $\!^{3}$P$_{1}$-, $\!^{1}$D$_{2}$-state), \textit{pp} ($\!^{1}$S$_{0}$-, $\!^{3}$P$_{0}$-, $\!^{3}$P$_{1}$-, $\!^{1}$D$_{2}$-state) and \textit{nр} ($\!^{1}$S$_{0}$-, $\!^{1}$P$_{1}$-, $\!^{3}$P$_{0}$-, $\!^{3}$P$_{1}$-, $\!^{1}$D$_{2}${-,} $^{3}$D$_{2}$-state). \,The \,calculations have been performed using realistic nucleon-nucleon potentials Nijmegen groups (NijmI, NijmII and Nijm93). The feasibility of the fourth-order Runge-Kutta method for numerical calculations of phase shifts was explained. When choosing the step of the optimized calculations phase shifts of up to 0.01 were received. The obtained phase shifts are in good agreement with the results obtained in the framework of other methods. They are also in good agreement with the results of the original paper for the same potential. The deviation is not more than 2{\%}. We also compared the results of calculations of the phase shift under the phase-functions method with the phase shift for other potential models (Argonne v18 and CD-Bonn) and for the partial wave analysis. The deviation between these data is up to 5{\%}. Using the obtained phase shifts we have calculated the full cross-section and the partial scattering amplitudes. These results are in good agreement with those obtained by using known phases published in the literature.
PACS number(s): 21.45.Bc, 03.65.Nk