Determination of Low-Energy Parameters of Neutron–Neutron Scattering from an Analysis of the Binding-Energy Difference between the ~3H and ~3He Mirror Nuclei

摘要

A relation between quantities that characterize the breaking of the charge symmetry of nuclear forces in systems of two and three nucleons is found on the basis of an analysis of the binding-energy difference between the ~3H and ~3He mirror nuclei. For the neutron-neutron scattering length and effective range, the values of a_(nn) = ?18.38(55) fm and r_(nn) = 2.84(4) fm, respectively, were obtained by using purely nuclear parameters of proton–proton scattering in the ~1S_0 state. The calculated values agree with presentday experimental results.