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首页> 外文期刊>The European Physical Journal, A. Hadrons and Nuclei >Improving the convergence of the chiral expansion for nuclear forces-II: Low phases and the deuteron
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Improving the convergence of the chiral expansion for nuclear forces-II: Low phases and the deuteron

机译:改善核力手性膨胀的收敛性-II:低相和氘核

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Recently, we have proposed a new cut-off scheme for pion loop integrals in the two-pion exchange potential. This method allows for a consistent implementation of constraints from pion-nucleon scattering and has been successfully applied to peripheral nucleon-nucleon partial waves. We now consider low partial waves in the non-perturbative regime, where the regularized Lippmann-Schwinger equation has to be solved in order to generate the bound and scattering states. We observe an improved description of most of the phase shifts when going from next-to- to next-to-next-to-leading order in the chiral expansion. We also find a good description of the deuteron properties. In addition, the new cut-off scheme allows to avoid the presence of unphysical deeply bound states. We discuss the cut-off dependence of the four-nucleon low-energy constants and show that their numerical values can be understood in terms of resonance saturation. This connects the effective field theory approach to boson exchange phenomenology.
机译:最近,我们提出了一种在两点交换势中的点环积分的新的截止方案。该方法可以实现对π-核子散射的约束的一致实现,并且已成功应用于外围核子-核子子波。现在,我们考虑非扰动状态下的低分波,在这种情况下,必须求解正则化的Lippmann-Schwinger方程才能生成束缚和散射状态。当手性展开中从下一个到下一个到下一个领先顺序时,我们观察到大多数相移的改进描述。我们还找到了氘核性质的良好描述。此外,新的截止方案可以避免出现非物理的深束缚态。我们讨论了四核子低能量常数的截止依赖性,并表明可以根据共振饱和来理解它们的数值。这将有效场论方法与玻色子交换现象学联系起来。

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