Renormalization of one-pion exchange and power counting

A. Nogga; R. G.E. Timmermans; U. Van Kolck

doi:10.1103/PhysRevC.72.054006

Renormalization of one-pion exchange and power counting

A. Nogga, R. G.E. Timmermans, U. Van Kolck

Research output: Contribution to journal › Article › peer-review

357 Scopus citations

Abstract

The renormalization of the chiral nuclear interactions is studied. In leading order, the cutoff dependence is related to the singular tensor interaction of the one-pion exchange potential. In S waves and in higher partial waves where the tensor force is repulsive this cutoff dependence can be absorbed by counterterms expected at that order. In the other partial waves additional contact interactions are necessary. The implications of this finding for the effective field theory program in nuclear physics are discussed.

Original language	English (US)
Article number	054006
Journal	Physical Review C - Nuclear Physics
Volume	72
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevC.72.054006
State	Published - Nov 2005
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevC.72.054006

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abstract = "The renormalization of the chiral nuclear interactions is studied. In leading order, the cutoff dependence is related to the singular tensor interaction of the one-pion exchange potential. In S waves and in higher partial waves where the tensor force is repulsive this cutoff dependence can be absorbed by counterterms expected at that order. In the other partial waves additional contact interactions are necessary. The implications of this finding for the effective field theory program in nuclear physics are discussed.",

author = "A. Nogga and Timmermans, {R. G.E.} and {Van Kolck}, U.",

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AB - The renormalization of the chiral nuclear interactions is studied. In leading order, the cutoff dependence is related to the singular tensor interaction of the one-pion exchange potential. In S waves and in higher partial waves where the tensor force is repulsive this cutoff dependence can be absorbed by counterterms expected at that order. In the other partial waves additional contact interactions are necessary. The implications of this finding for the effective field theory program in nuclear physics are discussed.

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Renormalization of one-pion exchange and power counting

Abstract

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