Vertex renormalization of weak interactions and Cooper-pair breaking in cooling compact stars
Vertex renormalization of weak interactions and Cooper-pair breaking in cooling compact stars
复制标题
冷却致密星中弱相互作用的顶点重正化和库珀对断裂
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
P. Schuck
中科院分区：
文献类型：
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作者：
A. Sedrakian;H. Muther;P. Schuck
在超流相变的临界温度以下，重子物质通过在凝聚体中形成的库珀对的断裂和复合而发射中微子。弱矢量和轴矢量顶点以及中微子通过对破缺的损失率被核介质中的强相互作用修正。我们研究这些修改非微扰求和无限系列的粒子-空穴环在$S$波超流中子物质。在朗道费米液体框架内描述了粒子-空穴通道中的相互作用，其中的朗道参数由微观理论导出。$S$波超流体的BCS理论内描述。我们导出了重整化三点矢量和轴矢量顶点以及物质的完全极化张量和低动量传递展开式。在这个展开式中的首阶项和相关的中微子损失出现在O（{q}^{2}）$处，符合$f$-求和规则。与单圈的对应物相比，由于对断裂而导致的中微子发射率被中子反冲能量与温度的比率参数化地抑制，其数量级为5\ifmmode\times\else\texttimes\fi {}{10}^{\ensuremath{-}3}$。建立了保证理论与广义Ward恒等式一致的正常和反常自能的近似。
Below the critical temperature of superfluid phase transition baryonic matter emits neutrinos by breaking and recombination of Cooper pairs formed in the condensate. The weak vector and axial-vector vertices and the neutrino loss rates via pair breaking are modified by strong interactions in nuclear medium. We study these modifications nonperturbatively by summing infinite series of particle-hole loops in $S$-wave superfluid neutron matter. The interactions in the particle-hole channel are described within the Landau Fermi-liquid framework with the Landau parameters derived from the microscopic theory. The $S$-wave superfluid is described within the BCS theory. We derive the renormalized three-point vector and axial-vector vertices and the complete polarization tensor of matter and its low momentum transfer expansion. The leading-order term in this expansion and the associated neutrino losses arise at $O({q}^{2})$, consistent with the $f$-sum rule. The neutrino emission rate due to the pair breaking is parametrically suppressed compared to its one-loop counterpart by the ratio of the neutron recoil energy to the temperature, which is of order $5\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$. The approximations to the normal and anomalous self-energies that guarantee the conformity of the theory with the generalized Ward identities are established.