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Neutrino-nucleon scattering in the neutrino-sphere

机译：中微子 - 核心在中微子 - 球体中散射

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摘要

We calculate the differential scattering rate for thermal neutrinos in a hot and dilute gas of interacting neutrons using linear response theory. The dynamical structure factors for density and spin fluctuations of the strongly interacting neutron matter, expected in the neutrino decoupling regions of supernovae and neutron star mergers, are calculated in the virial expansion for the first time. Correlations due to nucleon-nucleon interactions are taken into account using a pseudopotential that reproduces measured nucleon-nucleon phase shifts, and we find that attractive s-wave interactions enhance the density response and suppress the spin response of neutron matter. The net effect of neutron correlations is to strongly suppress backscattering. Moreover, we find nearly exact scaling laws for the response functions, valid for the range T = 5-10 MeV and q 30 MeV, allowing us to obtain analytic results for the dynamic structure factors at second order in the fugacity of the neutron gas. We find that the modification of scattering rates depends on the energy and momentum exchanged. The use of dynamical structure factors can lead to corrections of the scattering rate at the 10-20% level compared to approximations based on static structure factors.
机译：我们使用线性响应理论计算在相互作用的中子的热和稀释气体中热中微子的差分散射速率。在Supernovae和中子星合并的中微氨基去耦区域中预期的密度和旋转波动的动态结构因素在Supernovae和中子星相用的中性脱耦区域中进行了第一次在病毒膨胀中计算。使用核心核核相互作用引起的相关性使用伪能量来考虑再现测量的核仁核环偏移，并且发现有吸引力的S波相互作用增强了密度响应并抑制中子物质的旋转响应。中子相关的净效应是强烈抑制反向散射。此外，我们发现响应函数几乎精确的缩放规律，适用于T = 5-10 MeV和Q＆ 30 MeV，允许我们在中子气体的逃逸性的第二顺序中获得动态结构因子的分析结果。我们发现散射率的修改取决于所换的能量和动量。与基于静态结构因素的近似相比，使用动态结构因子的使用可以导致10-20％水平的散射速率校正。

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