Power counting in peripheral partial waves: The singlet channels
Power counting in peripheral partial waves: The singlet channels
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外围部分波中的功率计数：单线通道
DOI：
10.1103/physrevc.95.054001
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发表时间：
2016-11
影响因子：
3.1
通讯作者：
van Kolck U.
中科院分区：
文献类型：
--
作者：
Valderrama M. Pavon;Sanchez M. Sanchez;Yang C. -J.;Long Bingwei;Carbonell J.;van Kolck U.
本文分析了核子-核子散射中周边单重态分波的功率计数。与传统观点一致，我们发现π介子交换在外围单态中是微扰的。我们从有效场论的角度量化的离心势垒引起的π介子交换相互作用的众所周知的抑制。通过探索微扰理论到四阶，我们发现，在这些通道中的一个π-交换势是降级从领先到subleading阶由一个给定的权力的膨胀参数的增长与轨道角动量。我们讨论这些降级的影响，为少体计算：虽然更高的分波已经知道了很长一段时间，在这些计算无关（因此被忽略），在这里，我们解释如何系统化的过程中的方式是兼容的有效场论展开。
We analyze the power counting of the peripheral singlet partial waves in nucleon-nucleon scattering. In agreement with conventional wisdom, we find that pion exchanges are perturbative in the peripheral singlets. We quantify from the effective field theory perspective the well-known suppression induced by the centrifugal barrier in the pion-exchange interactions. By exploring perturbation theory up to fourth order, we find that the one-pion-exchange potential in these channels is demoted from leading to subleading order by a given power of the expansion parameter that grows with the orbital angular momentum. We discuss the implications of these demotions for few-body calculations: though higher partial waves have been known for a long time to be irrelevant in these calculations (and are hence ignored), here we explain how to systematize the procedure in a way that is compatible with the effective field theory expansion.