Mirror nuclei 3H and 3He binding energies difference and low energy parameters of neutron-neutron scattering

Abstract

A relationship between the binding energy difference for the mirror nuclei 3 H and 3 He and the low energy parameters of neutron-neutron and proton-proton scattering is established. The experimental values for the difference of 3 H and 3 He binding energies and the low energy proton-proton scattering parameters are used to obtain the values for the neutron-neutron scattering length a nn = -18.38(55) fm and the effective range r nn = 2.84(4) fm. The calculated neutron-neutron scattering length is in good agreement with one of the two well known and differing experimental values of this quantity.

Study of the charge dependence of the pion–nucleon coupling constant on the basis of data on low-energy nucleon–nucleon interactions

“…found in [44] from the reaction π − +d → γ+2n. The found values of the neutron-neutron low-energy scattering parameters (34) are also in very good agreement with the values a nn = −18.38(55) fm, r nn = 2.84(4) fm that we have obtained based on the analysis of the difference in the binding energies of the 3 H and 3 He mirror nuclei [45,46]. Thus, the value (34) of the neutron-neutron scattering length, obtained for the model under consideration, is in good agreement with the averaged experimental value of this quantity a expt nn ≃ −18.5(3) fm [2,22].…”

Relation between the charged and neutral pion–nucleon coupling constants in the Yukawa model

“…NUMERICAL RESULTS AND DISCUSSION OF CHARGE INDEPENDENCE BREAKING OF THE PION-NUCLEON COUPLING CONSTANT The depth V N N 0 and radius R N N = 1/µ N N of the Yukawa nucleon-nucleon potential can be derived from the measured low-energy parameters of the effective range expansion. Using the known values of purely nuclear low-energy parameters of nucleon-nucleon scattering[4,5,35,[45][46][47][48] …”