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arXiv 1201.0443nucl-th
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从色散关系研究核子-核子相互作用：耦合分波

Nucleon-Nucleon Interactions from Dispersion Relations: Coupled Partial Waves

M. Albaladejo, J. A. Oller

备注：
11 pages. Extends the work of uncoupled partial waves of M. Albaladejo and J. A. Oller, Phys. Rev. C 84, 054009 (2011) to the case of coupled partial waves. This version matches the published version. Discussion about the deuteron enlarged. Some references added
发表信息：
Phys. Rev. C 86, 034005 (2012)
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摘要：

本文从手征有效场论出发，用N/D方法研究核子-核子相互作用。现在讨论耦合分波的情况，扩展了文献[1]中研究非耦合情况的部分。因此，对于每组三个独立的耦合分波，必须求解三个N/D类弹性方程。和前面的参考文献一样，这个方法的输入是沿着核子-核子分波振幅左切的不连续性。由于它只涉及不可约的双核子中间态，因此可以用手征微扰理论进行微扰计算。在这里，我们应用我们的方法的领导阶的结果组成的一π交换作为源的不连续性沿左手切。N/D方法的线性积分方程必须在存在L - 1约束的情况下求解，其中L是轨道角动量，以便满足L>= 2的适当阈值行为。我们特别注意满足耦合通道中的么正性要求。我们还着重讨论了3S 1 - 3D 1散射中的氘极位置问题。我们的最终振幅是基于色散关系和手征有效场论，独立于任何明确的监管机构。他们是服从于一个系统的改善秩序的手征展开。

英文摘要：

We consider nucleon-nucleon interactions from chiral effective field theory applying the N/D method. The case of coupled partial waves is now treated, extending Ref. [1] where the uncoupled case was studied. As a result three N/D elastic-like equations have to be solved for every set of three independent partial waves coupled. As in the previous reference the input for this method is the discontinuity along the left-hand cut of the nucleon-nucleon partial wave amplitudes. It can be calculated perturbatively in chiral perturbation theory because it involves only irreducible two-nucleon intermediate states. We apply here our method to the leading order result consisting of one-pion exchange as the source for the discontinuity along the left-hand cut. The linear integral equations for the N/D method must be solved in the presence of L - 1 constraints, with L the orbital angular momentum, in order to satisfy the proper threshold behavior for L>= 2. We dedicate special attention to satisfy the requirements of unitarity in coupled channels. We also focus on the specific issue of the deuteron pole position in the 3S1-3D1 scattering. Our final amplitudes are based on dispersion relations and chiral effective field theory, being independent of any explicit regulator. They are amenable to a systematic improvement order by order in the chiral expansion.

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