THE ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 102:411-424, 1996 February

     NEUTRINO ENERGY LOSS IN STELLAR INTERIORS. VII. PAIR, PHOTO-, PLASMA,
             BREMSSTRAHLUNG, AND RECOMBINATION NEUTRINO PROCESSES

              NAOKI ITOH, HIROSHI HAYASHI, AND AKINORI NISHIKAWA

      Department of Physics, Sophia University, 7-1 Kioi-cho, Chiyoda-ku,
                               Tokyo, 102, Japan

                                      AND

                               YASUHARU KOHYAMA

        Fuji Research Institute Corporation, 3-18-1 Kaigan, Minato-ku,
                               Tokyo, 108, Japan

                                   ABSTRACT

        The results of the calculations of the neutrino energy-loss rates
     resulting from pair, photo-, plasma, bremsstrahlung, and recombination
     processes are summarized in the form of analytic fitting formulae and
     tables. Care has been taken in order to serve the convenience of the
     users of these results.  We have tried to make the present paper as
     self-contained as possible.  The contents of the present paper are
     intended to serve as useful physical input data for stellar evolution
     computations.  We intend to publish the numerical data and the FORTRAN
     codes for the results of the neutrino energy-loss rates in the CD-ROM
     series of the American Astronomical Society.  In the CD-ROM, we intend
     to give three options for the FORTRAN codes.  The first option
     comprises the results with analytic fitting formulae only.  The
     second option comprises the results with analytic fitting formulae for
     the bremsstrahlung and recombination neutrino processes, and the
     numerical tables for the pair, photo- and plasma neutrino processes
     with a standard quadratic interpolation procedure.  In this option,
     the grid of log T for the pair neutrino energy-loss rate is 0.2.  The
     third option is a variant of the second option, with the replacement
     of the grid of log T for the pair neutrino energy-loss rate to be 0.05.

     Subject headings: dense matter -- elementary particles -- methods:
                       numerical -- radiation mechanisms: nonthermal --
                       stars: interiors