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arXiv 1003.4383nucl-th
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3 He的有效场论

Effective field theory of 3He

Shung-ichi Ando, Michael C. Birse

摘要:

在无π介子的有效场论中,将~ 3 He和triton作为三体束缚态进行了研究.我们使用Kok等人开发的一组积分方程来研究3 He,其中包括质子之间库仑相互作用的完整离壳层T矩阵。在第一级,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。我们解决了三个耦合积分方程与尖锐的动量截止,λ,并发现,三体相互作用是必需的3 He在领先的顺序,在triton。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。

英文摘要:

3He and the triton are studied as three-body bound states in the effective field theory without pions. We study 3He 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, Lambda, and find that a three-body interaction is required in 3He at leading order, as in the triton. It also exhibits the same limit-cycle behavior as a function of Lambda, 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 3He and the triton.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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