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arXiv 1005.0744nucl-th
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δ激发下手征双π介子交换NN相互作用的重正化:分波展开中的关联

Renormalization of chiral two pion exchange NN interactions with delta excitations: correlations in the partial wave expansion

M. Pavon Valderrama, E. Ruiz Arriola

摘要:

本文研究了具有显式δ激发的手征2 π交换势在次领先阶(NLO)和次领先次领先阶(N2 LO)下的重正化。由于手征势的奇异性,产生了不同分波之间的关联。特别是,我们表明,两体散射的短距离的权力一样奇异的吸引力的相互作用可以重整化在所有的分波与一个单一的反项,提供的奇异性是相同的。一个平行的声明持有张量相互作用的存在时,耦合通道问题的本征势也一致。虽然这种结构减少了反项的总数为11的情况下,核子-核子散射与手征2 π交换相互作用与δ自由度,散射相位的差异相比,与不相关的分波重整化的情况下变得更小的角动量增加在弹性散射区。

英文摘要:

In this work we consider the renormalization of the chiral two-pion exchange potential with explicit delta-excitations for nucleon-nucleon scattering at next-to-leading (NLO) and next-to-next-to-leading order (N2LO). Due to the singular nature of the chiral potentials, correlations between different partial waves are generated. In particular we show that two-body scattering by a short distance power like singular attractive interaction can be renormalized in all partial waves with a single counterterm, provided the singularities are identical. A parallel statement holds in the presence of tensor interactions when the eigenpotentials in the coupled channel problem also coincide. While this construction reduces the total number of counterterms to eleven in the case of nucleon-nucleon scattering with chiral two-pion exchange interactions with delta degrees of freedom, the differences in the scattering phases as compared to the case with the uncorrelated partial wave renormalization become smaller as the angular momentum is increased in the elastic scattering region.

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