English

Taking dibaryon fields seriously

Nuclear Theory 2008-11-26 v3

Abstract

We propose a low energy effective field theory of QCD at the scale of pion mass for the NB=2N_B=2 sector, NBN_B 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 1S0^1S_0 and 3S1^3S_1 channels in this framework and obtain an excellent description of the phase shifts for center of mass energies in the 050MeV0-50 MeV range.

Keywords

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

R2 v1 2026-06-21T09:56:11.320Z