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arXiv 1508.05085nucl-th
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3 H和3 He的有效理论

Effective Theory of 3H and 3He

Sebastian König, Harald W. Grießhammer, H. -W. Hammer, U. van Kolck

摘要:

本文对库仑相互作用下的无π介子有效场论提出了一种新的微扰展开式,其中自旋单态核子通道取在幺正极限。提出的结果下到领先的菲利普斯线和中子-氘核双通道相移的顺序,我们发现,在逆1 S 0散射长度的微扰膨胀迅速收敛。使用一个新的系统处理的质子-质子部门,隔离的分歧,由于单光子交换,我们重整化相应的贡献的3 H-3 He结合能分裂,并证明了库仑力在无介子EFT是一个完全微扰效应的三核子束缚态制度。在我们的新展开式中,首序是完全同位旋对称的。在次领先级,我们考虑了由库仑力引起的同位旋破缺和两体散射长度,得到了(E_B(3 He)-E_B(3 H))的NLO =(-0.86 +/-0.17)MeV。

英文摘要:

We present a new perturbative expansion for pionless effective field theory with Coulomb interactions in which at leading order the spin-singlet nucleon-nucleon channels are taken in the unitarity limit. Presenting results up to next-to-leading order for the Phillips line and the neutron-deuteron doublet-channel phase shift, we find that a perturbative expansion in the inverse 1S0 scattering lengths converges rapidly. Using a new systematic treatment of the proton-proton sector that isolates the divergence due to one-photon exchange, we renormalize the corresponding contribution to the 3H-3He binding energy splitting and demonstrate that the Coulomb force in pionless EFT is a completely perturbative effect in the trinucleon bound-state regime. In our new expansion, the leading order is exactly isospin-symmetric. At next-to-leading order, we include isospin breaking via the Coulomb force and two-body scattering lengths, and find for the energy splitting (E_B(3He)-E_B(3H))^NLO = (-0.86 +/- 0.17) MeV.

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