Neutrino energy loss on nuclides 56Fe, 56Co, 56Ni, 56Mn, 56Cr, and 56V by electron capture in magnetars

Based on the theory of relativity, the assumption of a superstrong magnetic field (SMF), and the shell model, the neutrino energy loss (NEL) rates of nuclides Fe-56, Co-56, Ni-56, Mn-56, Cr-56, and V-56 by electron capture are investigated in the range of magnetic fields from 10(13) G to 10(18) G in magnetars. We also discuss the rates of change of the electron fraction (RCEF) in SMF and compare our results in SMF with those of FFN and Nabi, which is for the case without SMF. The results show that the NEL rates are increased greatly and even exceed by eight orders of magnitude in SMF. The RCEF are decreased largely and even exceed by seven orders of magnitude in SMF. On the other hand, our calculated NEL rates with SMF are larger by seven orders of magnitude than FFN's at B = 10(18) G, and even by eight orders of magnitude compared to Nabi's.