Effective field theory for shallow P-wave states

Abstract

We discuss the formulation of a non-relativistic effective field theory for two-body P-wave scattering in the presence of shallow states and critically address various approaches to renormalization proposed in the literature. It is demonstrated that the consistent renormalization involving only a finite number of parameters in the well-established formalism with auxiliary dimer fields corresponds to the inclusion of an infinite number of counterterms in the formulation with contact interactions only. We also discuss the implications from the Wilsonian renormalization group analysis of P-wave scattering.

arXiv comment23 pages, 5 figures. Contribution to Special Issue of Few-Body Systems: Celebrating 30 years of Steven Weinberg's papers on Nuclear Forces from Chiral Lagrangians

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Cited by in corpus (7)

• 50 Years of Quantum Chromodynamics
• Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases
• Resonance parameters of the vector charmoniumlike state $G(3900)$
• Effective field theory with resonant P-wave interaction
• Chiral Effective Field Theory's Impact on Advancing Quantum Monte Carlo Methods
• Renormalization of One-Pion Exchange in Higher Partial Waves in Chiral Effective Field Theory for Antinucleon-Nucleon System
• Trapped two-nucleon system in energy-dependent effective field theory