The Neutrino Energy Loss by Electron Capture of Nuclides ^(52,53,54,55,56)Fe in Core-Collapse Supernova

Using the shell-model Monte Carlo method and random phase approximation theory,we carry out an estimation on neutrino energy loss(NEL)of ^(52,53,54,55,56)Fe.We find the NEL rates increase greatly at some typical stellar conditions,and even exceed eight orders of magnitude.On the other hand,in order to compare our results ofλ_(SMMC)^(LJ)(which are calculated by using the SMMC method)with those ofλ_(FFN)^(LJ)(which are calculated by using the Fuller-Fowler-Newman(FFN)method),the error factor C,betweenλ_(SMMC)^(LJ) andλ_(FFN)^(LJ),is discussed and shows that at higher density and temperature,the fit is fairly good for the two results(λ_(SMMC)^(LJ) andλ_(FFN)^(LJ)),and the maximum error is~6.20%.However,the maximum error is~95.50%(e.g.53Fe)at lower density and temperature.