
Article
Sigma exchange in the nuclear force and effective field theory
Physics Letters B
(2006)
Abstract
In the phenomenological description of the nuclear interaction a crucial role is traditionally played by the exchange of a scalar I=0 meson, the sigma, of mass 500-600 MeV, which however is not seen clearly in the particle spectrum and which has a very ambiguous status in QCD. I show that a remarkably simple and reasonably controlled combination of ingredients can reproduce the features of this part of the nuclear force. The use of chiral perturbation theory calculations for two pion exchange supplemented by the Omnes function for pion rescattering suffices to reproduce the magnitude and shape of the exchange of a supposed $\sigma$ particle, even though no such particle is present in this calculation. I also show how these ingredients can describe the contact interaction that enters more modern descriptions of the internucleon interaction.
Disciplines
Publication Date
December 14, 2006
DOI
https://doi.org/10.1016/j.physletb.2006.10.033
Publisher Statement
The published version is located at https://doi.org/10.1016/j.physletb.2006.10.033
Citation Information
John Donoghue. "Sigma exchange in the nuclear force and effective field theory" Physics Letters B Vol. 643 Iss. 3-4 (2006) p. 165 - 170 Available at: http://works.bepress.com/john_donoghue/145/
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