Taking dibaryon fields seriously

Abstract

We propose a low energy effective field theory of QCD at the scale of pion mass for the $N_B=2$ sector, $N_B$ 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 ${}^1{S}_0$ and ${}^3{S}_1$ channels in this framework and obtain an excellent description of the phase shifts for center of mass energies in the $0-50MeV$ range.

20 pages, 5 figures; misprints corrected, explanations enlarged, references added. Journal version

References in corpus (6)

• Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space
• Deconstructing triplet nucleon-nucleon scattering
• Renormalization Group Analysis of Boundary Conditions in Potential Scattering
• Pion-mass dependence of three-nucleon observables
• Determination of Low-Energy Parameters of Neutron--Proton Scattering on the Basis of Modern Experimental Data from Partial-Wave Analyses
• Renormalization of EFT for nucleon-nucleon scattering

Cited by in corpus (1)

• Proton-proton fusion in pionless effective theory