Response function for hot and dense nuclear matter from chiral effective field theory*

Core-collapse supernovae dynamics are still only partially understood. The limitations are: The multi-dimensional simulations of core-collapse supernovae do not produce explosions properly under the condition we expect. There are still big uncertainties in the equations of state and neutrino scattering and reaction rates. Therefore, it is still worth it to devote ourselves. We have studied response function up to 1st order perturbation of mean-field correction and vertex correction. The nuclear potential is obtained from chiral effective theory. We verified the result by comparing it with the former works of others, such as static response function and dynamic structure functions.  We also discuss the ratio of neutrino scattering, which is meaningful in physics.