0000000000256278
AUTHOR
L. Mornas
Neutrino-nucleon scattering rate in proto neutron star matter
We present a calculation of the neutrino-nucleon scattering cross section which takes into account the nuclear correlations in the relativistic random phase approximation. Our approach is based on a quantum hadrodynamics model with exchange of $\sigma$, $\omega$, $\pi$, $\rho$ and $\delta$ mesons. In view of applications to neutrino transport in the final stages of supernova explosion and protoneutron star cooling, we study the evolution of the neutrino mean free path as a function of density, proton-neutron asymmetry and temperature. Special attention was paid to the issues of renormalization of the Dirac sea, residual interactions in the tensor channel and meson mixing. It is found that R…
Nucleon-nucleon effective potential in dense matter including rho-meson exchange
We obtain the RPA summed one-meson exchange potential between nucleons in symmetric nuclear matter at zero temperature, from a model which includes $\rho $, $\sigma $, $\omega $ and $\pi $ mesons. The behavior of rho mesons inside the medium is first discussed using different schemes to extract a finite contribution from the vacuum polarization. These schemes give qualitatively different results for the in-medium rho mass. The results are discussed in connection with the non-renormalizability of the model. We next study the modified potential as density increases. In the intermediate distance range, it is qualitatively modified by matter and vacuum effects. In the long-distance range ($r>2$…
Relativistic transport equations with generalized mass shell constraints
We reexamine the derivation of relativistic transport equations for fermions when conserving the most general spinor structure of the interaction and Green function. Such an extension of the formalism is needed when dealing with {\it e.g.} spin-polarized nuclear matter or non-parity conserving interactions. It is shown that some earlier derivations can lead to an incomplete description of the evolution of the system even in the case of parity-conserving, spin-saturated systems. The concepts of kinetic equation and mass shell condition have to be extended, in particular both of them acquire a non trivial spinor structure which describe a rich polarization dynamics.
Enhancement of nucleon-nucleon cross section in sidewards flowing nuclear matter through zero sound mode excitation
We investigate the modification induced on the nucleon-nucleon cross section by screening of the interaction inside nuclear matter. The interaction is described by the relativistic one boson exchange of $\sigma$, $\omega$ and $\pi$ mesons. Medium effects enter as loop corrections to the meson propagators and are characterized not only by density, but also by temperature and velocity with respect to the center of mass of the collision. The cross section displays peaks for some specific values of the velocity, corresponding to the excitation of zero-sound modes of the longitudinal $\omega$ field. The enhancement factor amounts to about 1.5 under reasonable conditions. It increases with densit…
Neutrino-nucleon scattering rate in proto-neutron star matter
We present a calculation of the neutrino-nucleon scattering cross-section which takes into account the nuclear correlations in the relativistic random phase approximation (RPA). Our approach is based on a quantum-hadrodynamics model with exchange of sigma, omega, pi, rho and delta mesons. In view of applications to neutrino transport in the final stages of supornova explosion and proto-neutron star cooling, we study the evolution of the neutrino mean free path as a function of density, proton-noutron asymmetry and temperature. Special attention was paid to the issues of renormalization of the Dirac sea, residual interactions in the tensor channel, coupling to the delta-meson and meson mixin…