Effective Field Theory with Dibaryon Fields: Nucleon-Nucleon amplitudes at NNLO

Abstract

We calculate the nucleon-nucleon scattering amplitudes in the 1S0 and 3S1-3D1 channels at next-to-next to leading order starting from a recently proposed non-relativistic chiral effective theory, which includes dibaryon fields as fundamental degrees of freedom. We restrict ourselves to center of mass energies (E) smaller than the pion mass (m_pi), and further divide the calculation into two relative momentum (p) regions, a high energy one p ~ m_pi >> delta m_i, δm_i being the dibaryon residual masses, and low energy one p ~ delta m_i. We first match to a lower energy effective theory in which we calculate the amplitudes in the high energy region. We further match this effective theory to the so called pionless effective theory in the low energy region, and carry out the calculations in the latter. Dimensional regularization and minimal subtraction scheme are used throughout. For 1S0 channel a good description of the phase shift data is obtained for E < 50 MeV. For the 3S1-3D1 channel, the 3S1 phase shift data is only well described up to E < 20 MeV.

25 pages, 21 figures. Journal version

References in corpus (7)

• Modern Theory of Nuclear Forces
• Perturbative nuclear physics
• Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves
• Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves
• Taking dibaryon fields seriously
• The nucleon-nucleon potential beyond the static approximation
• Nucleon-Nucleon effective field theory with dibaryon fields

Cited by in corpus (13)

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• Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon--nucleon scattering
• Effective field theory for the nucleon-quarkonium interaction
• 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
• Heavy meson thresholds in Born-Oppenheimer Effective field theory
• Cluster effective field theory and nuclear reactions
• Two-nucleon scattering in a modified Weinberg approach with a symmetry-preserving regularization
• Effective range expansion in various scenarios of EFT($\notpi$)
• Nucleon-nucleon scattering with perturbative pions: The uncoupled $P$-wave channels
• Nucleon-Nucleon effective field theory with dibaryon fields