Reformulation of the pionless effective field theory for practical few- and many-body applications
Abstract
The effective field theory (EFT) of contact forces which describes few-nucleon systems at distance scales larger than the pion Compton wavelength EFT(πhskip−0.54em /) can be defined in terms of momentum-dependent potentials that contain a fixed number of simple poles and generate the effective-range expansion to a given fixed order. These potentials provide a practical generalization of the standard EFT(πhskip−0.54em /) power-counting scheme which, for instance, naturally accounts for the large effective ranges in the s-wave channels. Nucleon-nucleon phase shifts computed in this formulation of EFT(πhskip−0.54em /) are compared to modern phase-shift analyses, and effective-range parameters are tabulated. The EFT(πhskip−0.54em /) potentials, which provide a rational approximation of the S-matrix, are easily extended into the regime of pion physics through the inclusion of additional S-matrix poles and zeros, and provide an accurate description of data up to pion-production threshold. The potentials in this scheme are in an important sense weak over all relevant distance scales, and are therefore of utility for systematic calculations of many-nucleon observables.
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BibTeX
@misc{beane2026reformulation,
title = {{Reformulation of the pionless effective field theory for practical few- and many-body applications}},
author = {Silas R. Beane and Roland C. Farrell and Cameron P. Shotwell and Ubirajara van Kolck},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29077},
eprint = {2610.29077},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29077},
}
RIS
TY - UNPB
TI - Reformulation of the pionless effective field theory for practical few- and many-body applications
AU - Silas R. Beane
AU - Roland C. Farrell
AU - Cameron P. Shotwell
AU - Ubirajara van Kolck
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29077
UR - https://arxiv.org/abs/2610.29077
AB - The effective field theory (EFT) of contact forces which describes few-nucleon systems at distance scales larger than the pion Compton wavelength EFT(πhskip−0.54em /) can be defined in terms of momentum-dependent potentials that contain a fixed number of simple poles and generate the effective-range expansion to a given fixed order. These potentials provide a practical generalization of the standard EFT(πhskip−0.54em /) power-counting scheme which, for instance, naturally accounts for the large effective ranges in the s-wave channels. Nucleon-nucleon phase shifts computed in this formulation of EFT(πhskip−0.54em /) are compared to modern phase-shift analyses, and effective-range parameters are tabulated. The EFT(πhskip−0.54em /) potentials, which provide a rational approximation of the S-matrix, are easily extended into the regime of pion physics through the inclusion of additional S-matrix poles and zeros, and provide an accurate description of data up to pion-production threshold. The potentials in this scheme are in an important sense weak over all relevant distance scales, and are therefore of utility for systematic calculations of many-nucleon observables.
ER -