Nuclear Weak Rates for Astrophysical Processes in Stars

1 Department of Physics, College of Human. and Sci. Nihon University, Tokyo 156-8550, Japan 2 National Astronomical Observatory of Japan, Tokyo 181-8588, Japan 3 Research Laboratory for Nuclear Reactors, Tokyo Institute of Technology, Tokyo 152-8550, Japan 4 Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan 5 Department of Physics, University of Wisconsin, Wisconsin 53706, USA 6 School of Physics and Nuclear Energy Engineering, Beihan University, Beijing 100083, China 7 Center for Mathematical Sciences, University of Aizu, Fukushima 965-8580, Japan 8 Center for Nuclear Study, The University of Tokyo, Tokyo 113-0033, Japan