The nucleon-nucleon potential beyond the static approximation

Abstract

We point out that, due to the use of static nucleon propagators in Heavy Baryon Chiral Perturbation Theory, the current calculations of the nucleon-nucleon potential miss certain contributions starting at two loops. These contributions give rise to contact interactions, which are both parametrically and numerically more important than the so called NNLO potentials. They show a peculiar dependence on the light quark masses, which should be taken into account when performing chiral extrapolations of lattice data. However, they do not appear to have an impact on phenomenology since they can be absorbed into redefinitions of unknown parameters which are usually fitted to data.

20 pages. Misprints corrected, explanations and references added. Journal version. Corrected misprints in formulas 30,31 and 32 in Journal version

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Cited by in corpus (18)

• Modern Theory of Nuclear Forces
• Nuclear effective field theory: status and perspectives
• The Deuteron and Exotic Two-Body Bound States from Lattice QCD
• Varying the light quark mass: impact on the nuclear force and Big Bang nucleosynthesis
• Weinberg's approach to nucleon-nucleon scattering revisited
• Present Constraints on the H-dibaryon at the Physical Point from Lattice QCD
• Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon--nucleon scattering
• Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses
• Taking dibaryon fields seriously
• Nucleon-nucleon interaction in chiral EFT with a finite cutoff: explicit perturbative renormalization at next-to-leading order
• The N/D method with non-perturbative left-hand-cut discontinuity and the ${}^1{S}_0$ $NN$ partial wave
• On the quark mass dependence of nucleon-nucleon S-wave scattering lengths
• Effective Field Theory with Dibaryon Fields: Nucleon-Nucleon amplitudes at NNLO
• Two-nucleon scattering in a modified Weinberg approach with a symmetry-preserving regularization
• What hath Weinberg wrought? Reflections on what Weinberg's papers on 'Nuclear Forces from Chiral Lagrangians' did and did not accomplish
• Chiral perturbation theory calculation for pn -> dpipi at threshold
• Effective range expansion in various scenarios of EFT($\notpi$)
• Anomalous mapping between pionfull and pionless EFT's