Effective field theory of 3 He
Effective field theory of 3 He
复制标题
3 He有效场论
DOI：
10.1088/0954-3899/37/10/105108
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Ando S
中科院分区：
文献类型：
--
作者：
Ando S
3 He和triton作为三体束缚态在无π介子的有效场论中被研究。我们研究3 He使用的一组积分方程开发的Kok等人，其中包括完整的离壳层的T-矩阵的库仑质子之间的相互作用。在第一阶，该理论包含两体接触相互作用，其重整化强度由NN散射长度、库仑势和三体接触相互作用设定。我们用一个尖锐的动量截断Λ来求解这三个耦合积分方程，发现在首阶的3 He中需要一个三体相互作用，就像在triton中一样。它也表现出相同的极限环行为作为Λ的函数，表明Efimov效应仍然存在的库仑相互作用。我们还得到了~ 3 He和triton中三体力强度的差别。
3 He and the triton are studied as three-body bound states in the effective field theory without pions. We study 3 He using the set of integral equations developed by Kok et al which includes the full off-shell T-matrix for the Coulomb interaction between the protons. To leading order, the theory contains two-body contact interactions whose renormalized strengths are set by the NN scattering lengths, the Coulomb potential and a three-body contact interaction. We solve the three coupled integral equations with a sharp momentum cutoff, Λ, and find that a three-body interaction is required in 3 He at leading order, as in the triton. It also exhibits the same limit-cycle behaviour as a function of Λ, showing that the Efimov effect remains in the presence of the Coulomb interaction. We also obtain the difference between the strengths of the three-body forces in 3 He and the triton.