有限温度下对称核物质中的BCS-BEC交叉：对涨落和赝能隙
BCS-BEC Crossover in Symmetric Nuclear Matter at Finite Temperature: Pairing Fluctuation and Pseudogap
摘要：
在$G_0G$近似下，采用基于$T$矩阵的方法计算对极化率，研究了对称核物质中对涨落对BCS-BEC交叉的影响。对涨落在超流相和正常相的核子激发谱中都引起了赝能隙。计算了超流转变的临界温度。当密度较低时，与BCS结果有显著差异。我们还计算了比热，在低密度下表现出接近理想的BEC型温度依赖性，但在高密度下表现出BCS型行为。这种比热随温度变化的性质可以作为BCS-BEC转换的热力学信号。
英文摘要：
By adopting a $T$-matrix based method within $G_0G$ approximation for the pair susceptibility, we studied the effects of pairing fluctuation on the BCS-BEC crossover in symmetric nuclear matter. The pairing fluctuation induces a pseudogap in the excitation spectrum of nucleon in both superfluid and normal phases. The critical temperature of superfluid transition was calculated. It differs from the BCS result remarkably when density is low. We also computed the specific heat which shows a nearly ideal BEC type temperature dependence at low density but a BCS type behavior at high density. This qualitative change of the temperature dependence of specific heat may serve as a thermodynamic signal for BCS-BEC crossover.
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