Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English   Periodicity: 4 times per year   Open access peer reviewed journal

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V. A. Babenko, N. M. Petrov

M.M. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

Abstract: The influence of the mass difference between charged and neutral π-mesons on the low-energy parameters of nucleon-nucleon interaction in the ¹S₀ spin-singlet state is studied. Using the experimental singlet neutron-proton scattering parameters and the experimental value of neutron-neutron virtual-state energy we obtain the following values for the neutron-neutron scattering length and effective range: a_nn= - 16.59(114) fm, r_nn = 2.826(86) fm. Calculated values of these quantities appear to be in reasonable agreement with the contemporary experimental data.

Keywords: neutron-neutron scattering, neutron-neutron interaction, charge dependence of nuclear forces, effective range parameters, neutron-neutron scattering length.

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