Δ effects in pion-nucleon scattering and the strength of the two-pion-exchange three-nucleon interaction

V. R. Pandharipande; D. R. Phillips; U. Van Kolck

doi:10.1103/PhysRevC.71.064002

Δ effects in pion-nucleon scattering and the strength of the two-pion-exchange three-nucleon interaction

V. R. Pandharipande, D. R. Phillips, U. Van Kolck

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

29 Scopus citations

Abstract

We consider the relationship between p-wave πN scattering and the strength of the p-wave two-pion-exchange three-nucleon interaction (TPE3NI). We explain why effective theories that do not contain the Delta resonance as an explicit degree of freedom tend to overestimate the strength of the TPE3NI. The overestimation can be remedied by higher-order terms in these "Delta-less" theories, but such terms are not yet included in state-of-the-art chiral effective field theory calculations of the nuclear force. This suggests that these calculations can predict the strength of the TPE3NI only to an accuracy of ±25%.

Original language	English (US)
Article number	064002
Journal	Physical Review C - Nuclear Physics
Volume	71
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevC.71.064002
State	Published - Jun 2005
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevC.71.064002

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abstract = "We consider the relationship between p-wave πN scattering and the strength of the p-wave two-pion-exchange three-nucleon interaction (TPE3NI). We explain why effective theories that do not contain the Delta resonance as an explicit degree of freedom tend to overestimate the strength of the TPE3NI. The overestimation can be remedied by higher-order terms in these {"}Delta-less{"} theories, but such terms are not yet included in state-of-the-art chiral effective field theory calculations of the nuclear force. This suggests that these calculations can predict the strength of the TPE3NI only to an accuracy of ±25%.",

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year = "2005",

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PY - 2005/6

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N2 - We consider the relationship between p-wave πN scattering and the strength of the p-wave two-pion-exchange three-nucleon interaction (TPE3NI). We explain why effective theories that do not contain the Delta resonance as an explicit degree of freedom tend to overestimate the strength of the TPE3NI. The overestimation can be remedied by higher-order terms in these "Delta-less" theories, but such terms are not yet included in state-of-the-art chiral effective field theory calculations of the nuclear force. This suggests that these calculations can predict the strength of the TPE3NI only to an accuracy of ±25%.

AB - We consider the relationship between p-wave πN scattering and the strength of the p-wave two-pion-exchange three-nucleon interaction (TPE3NI). We explain why effective theories that do not contain the Delta resonance as an explicit degree of freedom tend to overestimate the strength of the TPE3NI. The overestimation can be remedied by higher-order terms in these "Delta-less" theories, but such terms are not yet included in state-of-the-art chiral effective field theory calculations of the nuclear force. This suggests that these calculations can predict the strength of the TPE3NI only to an accuracy of ±25%.

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Δ effects in pion-nucleon scattering and the strength of the two-pion-exchange three-nucleon interaction

Abstract

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