论文标题
中微子平均自由路径的不对称性在Skyrme模型中部分自旋偏振中子物质中
Asymmetry of the neutrino mean free path in partially spin polarized neutron matter within the Skyrme model
论文作者
论文摘要
吸收反应$ν + n \ rightarrow e^{ - } + p $的中微子平均自由路径中的不对称性是在强磁场下在热中子物质中评估的。我们考虑范围内的密度$ 0.05 \ leqρ\ leq 0.4 $ fm $^{ - 3} $，几个温度最高30 meV，磁场强度从$ b = 0 $ b = 0 $ to $ b = 10^{18} $ g。使用LNS Skyrme相互作用的非相关性Hartree模型中描述了极化的中子物质。中微子平均自由路径与温度和强磁场区域的依赖性较弱，它的增长值降低。这与散射反应$ν + n \rightarrowν' + n'$形成鲜明对比，其中平均平均自由路径几乎与磁场无关，并且与温度具有很强的依赖性。我们已经评估了来自吸收和散射反应的不对称性。我们的结果表明，总不对称取决于磁场强度，密度和温度。对于$ 0.16 $ fm $^{ - 3} $的密度，对于b = $ 10^{17} $ g的磁场强度，分别发现平均自由路径中的不对称性，$ \ sim 9 \％$和$ \ sim 3.4 \％\％\％\％\％\％\％\％\％$分别为t $ = 15 $ = 15 $和$ 30 $ MEV。虽然B = $ 10^{18} $ g的相同集的不对称是$ \ sim 58 \％$和$ \ sim 48 \％$。
The asymmetry in the neutrino mean free path for the absorption reaction $ν+ n \rightarrow e^{-} + p$, is evaluated within hot neutron matter under a strong magnetic field. We consider densities in the range $0.05 \leq ρ\leq 0.4$ fm$^{-3}$, several temperatures up to 30 MeV and magnetic field strengths from $B=0$ up to $B=10^{18}$~G. Polarized neutron matter is described within the non--relativistic Hartree--Fock model using the LNS Skyrme interaction. The neutrino mean free path has a weak dependence with the temperature and in the strong magnetic field region, it decreases for growing values of it. This contrast with the scattering reaction $ν+ n \rightarrow ν' + n'$, where the average mean free path is almost independent of the magnetic field and has a strong dependence with the temperature. We have evaluated the asymmetry from both the absorption and scattering reactions. Our results shows that the total asymmetry depends on the magnetic field intensity, the density and the temperature. For a density of $0.16$ fm$^{-3}$ and for a magnetic field strength of B=$10^{17}$~G, the asymmetry in the mean free path is found to be, $\sim 9\%$ and $\sim 3.4\%$ for temperatures of T$=15$ and $30$ MeV, respectively. While the same set of asymmetries for B=$10^{18}$~G, is $\sim 58\%$ and $\sim 48\%$.
