Supernova Neutrino Scattering Rates Reduced by Nucleon Spin Fluctuations: Perturbative Limit

Details Supernova Neutrino Scattering Rates Reduced by Nucleon Spin Fluctuations: Perturbative Limit Supernova Neutrino Scattering Rates Reduced by Nucleon Spin Fluctuations: Perturbative Limit

1996-03-12

arxiv.org/abs/astro-ph/9603044v1

Phys.Rev.D54:2784-2792,1996

Astronomy and Astrophysics

Astrophysics

9 pages, REVTeX, 4 postscript figures. Submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.54.2784

In a nuclear medium, spin-dependent forces cause the nucleon spins to fluctuate with a rate $\Gamma_\sigma$. We have previously shown that as a consequence the effective axial-current neutrino-nucleon scattering cross section is reduced. Here, we calculate this reduction explicitly in the perturbative limit $\Gamma_\sigma\ll T$. By virtue of an exact sum rule of the spin-density structure function, we express the modified cross section in terms of the matrix element for neutrino-nucleon scattering in the presence of a spin-dependent nuclear potential. This representation allows for a direct comparison with and confirmation of Sawyer's related perturbative result. In a supernova core with a typical temperature $T=10\,\rm MeV$, the perturbative limit is relevant for densities $\rho\alt10^{13}\,\rm g\,cm^{-3}$ and thus applies around the neutrino sphere. There, the cross-section reduction is of order a few percent and thus not large; however, a new mode of energy transfer between neutrinos and nucleons is enabled which may be important for neutrino spectra formation. We derive an analytic perturbative expression for the rate of energy transfer.

Affiliated with

Also associated with

No associations

Rating

Supernova Neutrino Scattering Rates Reduced by Nucleon Spin Fluctuations: Perturbative Limit does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Supernova Neutrino Scattering Rates Reduced by Nucleon Spin Fluctuations: Perturbative Limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supernova Neutrino Scattering Rates Reduced by Nucleon Spin Fluctuations: Perturbative Limit will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-279066