Improving the convergence of the chiral expansion for nuclear forces - II: Low phases and the deuteron. Epelbaum, E., Glöckle, W., & Meißner, U. G. European Physical Journal A, 19(3):401–412, 2004.
doi  abstract   bibtex   
Recently, we have proposed a new cut-off scheme for pion loop integrals in the two-pion exchange potential. This method allows for a consistent implementation of constraints from pion-nucleon scattering and has been successfully applied to peripheral nucleon-nucleon partial waves. We now consider low partial waves in the non-perturbative regime, where the regularized Lippmann-Schwinger equation has to be solved in order to generate the bound and scattering states. We observe an improved description of most of the phase shifts when going from next-to- to next-to-next-to-leading order in the chiral expansion. We also find a good description of the deuteron properties. In addition, the new cut-off scheme allows to avoid the presence of unphysical deeply bound states. We discuss the cut-off dependence of the four-nucleon low-energy constants and show that their numerical values can be understood in terms of resonance saturation. This connects the effective field theory approach to boson exchange phenomenology.
@article{epelbaum_improving_2004,
abstract = {Recently, we have proposed a new cut-off scheme for pion loop integrals in the two-pion exchange potential. This method allows for a consistent implementation of constraints from pion-nucleon scattering and has been successfully applied to peripheral nucleon-nucleon partial waves. We now consider low partial waves in the non-perturbative regime, where the regularized Lippmann-Schwinger equation has to be solved in order to generate the bound and scattering states. We observe an improved description of most of the phase shifts when going from next-to- to next-to-next-to-leading order in the chiral expansion. We also find a good description of the deuteron properties. In addition, the new cut-off scheme allows to avoid the presence of unphysical deeply bound states. We discuss the cut-off dependence of the four-nucleon low-energy constants and show that their numerical values can be understood in terms of resonance saturation. This connects the effective field theory approach to boson exchange phenomenology.},
annote = {Publisher: Springer-Verlag},
author = {Epelbaum, E. and Gl{\"{o}}ckle, W. and Mei{\ss}ner, U. G.},
doi = {10.1140/epja/i2003-10129-8},
issn = {14346001},
journal = {European Physical Journal A},
number = {3},
pages = {401--412},
title = {{Improving the convergence of the chiral expansion for nuclear forces - II: Low phases and the deuteron}},
volume = {19},
year = {2004}
}

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