Neutrino-nucleon reaction rates in the supernova core in the relativistic random phase approximation

Shoichi Yamada, Hiroshi Toki

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We calculate neutrino reaction rates with nucleons via the neutral and charged currents in the supernova core in the relativistic random phase approximation (RPA) and study their effects on the opacity of the supernova core. The formulation is based on the Lagrangian employed in the calculation of the nuclear equation of state (EOS) in the relativistic mean field theory (RMF). The nonlinear meson terms are treated appropriately so that the consistency of the density correlation derived in RPA with the thermodynamic derivative obtained from the EOS by the RMF is satisfied in the static and long wavelength limit. We employ pion and rho meson exchange interactions together with the phenomenological Landau-Migdal parameters for the isospin-dependent nuclear interactions. We find that both the charged and neutral current reaction rates are suppressed from Bruenn's standard approximate formula considerably in the high density regime (ρb≳1014 g/cm3 with ρb the baryonic density). In the low density regime (ρb≲1014 g/cm3), on the other hand, the vector current contribution to the neutrino-nucleon scattering rate is enhanced in the vicinity of the boundary of the liquid-gas phase transition, while the other contributions are moderately suppressed there also. In the high temperature regime (T ≳40 MeV with T the temperature) or in the regime where electrons have a large chemical potential, the latter of which is important only for the electron capture process and its inverse process, the recoil of nucleons cannot be neglected and further reduces the reaction rates with respect to the standard approximate formula which discards any energy transfer in the processes. These issues could have a great impact on the neutrino heating mechanism of collapse-driven supernovae.

Original languageEnglish
Pages (from-to)158031-1580316
Number of pages1422286
JournalPhysical Review C - Nuclear Physics
Volume61
Issue number1
Publication statusPublished - 2000 Jan
Externally publishedYes

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supernovae
reaction kinetics
neutrinos
neutral currents
approximation
nucleons
equations of state
mesons
rho-mesons
nuclear interactions
vector currents
opacity
electron capture
pions
energy transfer
vapor phases
formulations
thermodynamics
heating
liquids

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Neutrino-nucleon reaction rates in the supernova core in the relativistic random phase approximation. / Yamada, Shoichi; Toki, Hiroshi.

In: Physical Review C - Nuclear Physics, Vol. 61, No. 1, 01.2000, p. 158031-1580316.

Research output: Contribution to journalArticle

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