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

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Cited by in corpus (23)

• Modern Theory of Nuclear Forces
• Nuclear effective field theory: status and perspectives
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• Perturbative nuclear physics
• Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon--nucleon scattering
• Proton-proton fusion in pionless effective theory
• The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
• Effective field theory for the nucleon-quarkonium interaction
• Perturbative $NN$ scattering in chiral effective field theory
• Improved convergence of chiral effective field theory for 1S0 of NN scattering
• On the quark mass dependence of nucleon-nucleon S-wave scattering lengths
• Effective range corrections from effective field theory with di-baryon fields and perturbative pions
• Constructing chiral effective field theory around unnatural leading-order interactions
• Effective Field Theory with Dibaryon Fields: Nucleon-Nucleon amplitudes at NNLO
• Renormalizability of leading order covariant chiral nucleon-nucleon interaction
• Effective field theory for shallow P-wave states
• Two-nucleon scattering in a modified Weinberg approach with a symmetry-preserving regularization
• $NN$ scattering in ${}^3{S}_1{-}^3{D}_1$ channels of EFT ($/\pi$)
• Effective theory with dibaryons and perturbative pions
• Nucleon-nucleon scattering with perturbative pions: The uncoupled $P$-wave channels
• Effective range expansion in various scenarios of EFT($\notpi$)
• Nucleon-Nucleon effective field theory with dibaryon fields
• Anomalous mapping between pionfull and pionless EFT's