Pasta structures in neutrino-degenerate nuclear matter

Maruyama, Toshiki  ; Yasutake, Nobutoshi*; Tatsumi, Toshitaka*

We explore the inhomogeneous structures and properties of nuclear matter with inclusion of trapped neutrinos which is relevant to the supernovae and the crust of proto-neutron stars. As a theoretical framework we employ the relativistic mean field (RMF) model with the Thomas-Fermi approximation for fermions. In our previous studies of nuclear matter without neutrino, we have observed "pasta" structures in nuclear matter with a fixed electron fraction while there appeared only spherical nuclei in catalyzed nuclear matter. In our present study of catalyzed nuclear matter with a fixed lepton fraction, pasta structures are found to be persistent due to the increase of protonfraction which causes the formation of cluster of protons and neutrons by their strong attraction. We present the equation of state (EOS) of neutrino-trapped nuclear matter and discuss the effects of the existence of neutrinos.