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arXiv 1606.09053nucl-thcond-mat.quant-gas
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纯中子物质中的三重态配对

Triplet Pairing in pure neutron matter

Sarath Srinivas, S. Ramanan

摘要:

利用相似重整化群(SRG)演化相互作用研究了纯中子物质中三重态通道的零温BCS能隙。我们使用的依赖性的结果上的SRG分辨率尺度,作为一种工具来分析介质和多体校正。特别地,我们研究了在手征EFT中包含出现在N2LO处的首阶三体相互作用以及一阶自能修正对零温隙的影响。此外,我们还提取了转变温度作为密度的函数,并验证了BCS标度的零温度间隙的转变温度。我们观察到,自能效应是非常关键的,以减少SRG的分辨率尺度依赖的结果,而在领导级的三体效应不改变的两体分辨率尺度依赖。另一方面,结果强烈依赖于三体截断,强调了缺失的高阶三体效应的重要性。我们还观察到,自能效应降低了整体的差距,以及移动间隙关闭到较低的密度。

英文摘要:

We study the zero temperature BCS gaps for the triplet channel in pure neutron matter using Similarity Renormalization Group (SRG) evolved interactions. We use the dependence of the results on the SRG resolution scale, as a tool to analyze medium and many-body corrections. In particular, we study the effects of including the three-body interactions at leading order, which appear at N2LO in the Chiral EFT, as well as that of the first-order self-energy corrections on the zero temperature gap. In addition we also extract the transition temperature as a function of densities and verify the BCS scaling of the zero temperature gaps to the transition temperature. We observe that the self-energy effects are very crucial in order to reduce the SRG resolution scale dependence of the results, while the three-body effects at the leading order do not change the two-body resolution scale dependence. On the other hand, the results depend strongly on the three-body cut-off, emphasizing the importance of the missing higher-order three-body effects. We also observe that self-energy effects reduce the overall gap as well as shift the gap closure to lower densities.

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