Taking dibaryon fields seriously
Abstract
We propose a low energy effective field theory of QCD at the scale of pion mass for the sector, being the baryon number, which contains two dibaryon fields in addition to the nucleons and pions. It has a well defined counting, is renormalizable and the nucleon-nucleon scattering amplitudes are manifestly unitary at leading order. We work out a lower energy effective theory for nucleons with energy much lower than the pion mass and three momentum comparable to it, which also has a well defined counting and is renormalizable. The dibaryon fields must also be kept as explicit degrees of freedom in this theory. We calculate the scattering amplitudes at next-to-leading order for the and channels in this framework and obtain an excellent description of the phase shifts for center of mass energies in the range.
Cite
@article{arxiv.0712.3404,
title = {Taking dibaryon fields seriously},
author = {Joan Soto and Jaume Tarrus},
journal= {arXiv preprint arXiv:0712.3404},
year = {2008}
}
Comments
20 pages, 5 figures; misprints corrected, explanations enlarged, references added. Journal version