中子星中子三重态配对的中微子发射
Neutrino emission from triplet pairing of neutrons in neutron stars
摘要:
在考虑反常弱相互作用的情况下,研究了中子星中由于电子对破裂和形成过程而产生的中微子辐射。我们在BCS近似中考虑了这个问题,抛弃了费米液体效应。在这种方法中,我们推导出自洽方程的反常矢量和轴矢量的弱相互作用的顶点考虑到$^{3}P_{2}- ^{3}F_{2}$混合。此外,我们简化了问题,并考虑纯$^{3}P_{2}$配对与$m_{j}=0$,是通过在最小冷却范例。正如预期的那样,由于电流守恒,我们在矢量通道中获得了中微子发射率的大抑制。更确切地说,通过矢量通道的中微子发射在非相对论极限$V_F=0$中消失。还发现轴向通道被适度抑制。总中微子发射率被抑制的$1.9\times10^{-1}$的因素相对于原始估计使用裸弱顶点。
英文摘要:
Neutrino emission due to the pair breaking and formation processes in the bulk triplet superfluid in neutron stars is investigated with taking into account of anomalous weak interactions. We consider the problem in the BCS approximation discarding Fermi-liquid effects. In this approach we derive self-consistent equations for anomalous vector and axial-vector vertices of weak interactions taking into account the $^{3}P_{2}- ^{3}F_{2}$ mixing. Further we simplify the problem and consider the pure $^{3}P_{2}$ pairing with $m_{j}=0$, as is adopted in the minimal cooling paradigm. As was expected because of current conservation we have obtained a large suppression of the neutrino emissivity in the vector channel. More exactly, the neutrino emission through the vector channel vanishes in the nonrelativistic limit $V_F=0$. The axial channel is also found to be moderately suppressed. The total neutrino emissivity is suppressed by a factor of $1.9\times10^{-1}$ relative to original estimates using bare weak vertices.
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