Application of the operator product expansion to the short distance behavior of nuclear potentials
Application of the operator product expansion to the short distance behavior of nuclear potentials
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DOI：
10.1007/jhep05(2010)008
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发表时间：
2010-02
影响因子：
5.4
通讯作者：
S. Aoki;J. Balog;P. Weisz
中科院分区：
文献类型：
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作者：
S. Aoki;J. Balog;P. Weisz
通过微扰计算QCD中6夸克算符的反常维数，研究了由Bethe-Salpeter波函数定义的核子-核子（NN）势的短程行为。由于QCD的渐近自由性，单圈计算给出了零距离极限下势的某些精确结果。特别地，S态中心NN势在短距离r处的函数形式被预测为比r− 2弱一点。另一方面，由于反常维谱的有趣性质，单靠微扰的考虑不能确定这种势在短距离下是排斥的还是吸引的。一个粗略的估计表明，在短距离的力是排斥的，在格子QCD数值发现。张量势也有类似的行为。
We investigate the short distance behavior of nucleon-nucleon (NN) potentials defined through Bethe-Salpeter wave functions, by perturbatively calculating anomalous dimensions of 6-quark operators in QCD. Thanks to the asymptotic freedom of QCD, 1-loop computations give certain exact results for the potentials in the zero distance limit. In particular the functional form of the S-state central NN potential at short distance r is predicted to be a little weaker than r− 2. On the other hand, due to the intriguing character of the anomalous dimension spectrum, perturbative considerations alone can not determine whether this potential is repulsive or attractive at short distances. A crude estimation suggests that the force at short distance is repulsive, as found numerically in lattice QCD. A similar behavior is found for the tensor potential.