Deconstructing triplet nucleon-nucleon scattering

Abstract

Nucleon-nucleon scattering in spin-triplet channels is analysed within an effective field theory where one-pion exchange is treated nonperturbatively. Justifying this requires the identification of an additional low-energy scale in the strength of that potential. Short-range interactions are organised according to the resulting power counting, in which the leading term is promoted to significantly lower order than in the usual perturbative counting. In each channel there is a critical momentum above which the waves probe the singular core of the tensor potential and the new counting is necessary. When the effects of one- and two-pion exchange have been removed using a distorted-wave Born approximation, the residual scattering in waves with L<=2 is well described by the first three terms in the new counting. In contrast, the scattering in waves with L>=3 is consistent with the perturbative counting, at least for energies up to 300 MeV. This pattern is in agreement with estimates of the critical momenta in these channels.

13 pages, RevTeX, 8 figures, minor clarifications added

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• Renormalizing Chiral Nuclear Forces: Triplet Channels
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• Electric Dipole Moments of Light Nuclei From Chiral Effective Field Theory
• Chiral dynamics of few- and many-nucleon systems
• Ground state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory
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• Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
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• Nuclear Reactions from Lattice QCD
• Taking dibaryon fields seriously
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• Chiral potential renormalized in harmonic-oscillator space
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Pions are neither perturbative nor nonperturbative: Wilsonian renormalization group analysis of nuclear effective field theory including pions
• Do we know how to count powers in pionless and pionful effective field theory?
• Nucleon-Nucleon Interactions from Dispersion Relations: Coupled Partial Waves
• Nuclear Effective Field Theories: Reverberations of the early days
• A Consistency Test of EFT Power Countings from Residual Cutoff Dependence
• Nucleon-Nucleon scattering from the dispersive N/D method: next-to-leading order study
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
• Renormalization of NN Interaction with Relativistic Chiral Two Pion Exchange
• Effective field theory for shallow P-wave states
• Renormalization of nuclear chiral effective field theory with non-perturbative leading order interactions
• Improved description of light nuclei through chiral effective field theory at leading order
• Effective short-range interaction for spin-singlet P-wave nucleon-nucleon scattering
• A further study on the renormalization group aspect of perturbative corrections
• Renormalization of proton-proton fusion in chiral effective field theory
• More effective theory of nuclear forces
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• Feasibility of perturbative generation of bound-states from resonances or virtual states
• Charge Symmetry Breaking and Nuclear Pion Production Reactions
• Renormalization of One-Pion Exchange in Higher Partial Waves in Chiral Effective Field Theory for Antinucleon-Nucleon System