Gaussian Modification of Neutrino Energy Losses in Electron Capture Processes of Nuclides 56Fe, 56Co, 56Ni and 56Mn in Stellar Interiors

By using the Gaussian modification method, the neutrino energy losses in the electron capture processes of nuclides 56Fe, 56Co, 56Ni and 56Mn are investigated. The results show that the energy loss rate of neutrinos is increased due to the Gaussian modification of the energy level distribution of the Gamow-Teller (GT) resonance transitions of nuclides. In the reactions dominated by the electron capture processes of the low-energy transitions, the Gaussian modification has a very small influence on the neutrino energy losses. When the high-energy G-T resonance transition is the main electron capture process, the influence on the neutrino energy losses will be greatly increased. For example, the correctional differences of nuclide 56Fe are about 2 orders of magnitude when the density ρ7 = 100 (ρ7 is in units of 107 mol × cm−3) and the half width of Gaussian function Δ = 14.3, 18.3, 22.3 Mev, and those of nuclide 56Ni are about 60% and 40% when Δ = 6.3, 18.3 Mev, respectively.