Nuclear forces and their impact on structure, reactions and - PowerPoint PPT Presentation

Nuclear forces and their impact on structure, reactions and astrophysics Dick Furnstahl Ohio State University July, 2013 Lectures for Week 2 M. Chiral EFT 1 (as); χ -symmetry in NN scattering, QCD 2 (rjf) T. Chiral EFT 2 (rjf); Three-nucleon forces 1 (as) W. Renormalization group 1 (rjf); Forces from LQCD, hyperon-nucleon (as) Th. Renormalization group 2 (rjf); Nuclear forces and electroweak interactions (as) F. Many-body overview (rjf); Three-nucleon forces 2 (as)

NDA and Naturalness ∆ s in chiral EFT Outline NDA, naturalness, and resonance saturation Including ∆ s in chiral EFT (from H. Krebs) Dick Furnstahl TALENT: Nuclear forces

NDA and Naturalness ∆ s in chiral EFT Chiral EFT: Resonance Saturation [Epelbaum et al. (2002)] How is chiral EFT potential related to phenomenological NN potentials based on one-boson exchange? Boson exchange = ⇒ model of short-distance physics ⇒ unresolved in chiral EFT (except for pion) = ⇒ encoded in coefficients of contact terms = ρ, ω, σ, . . . − → + ∇ 2 + · · · g 2 g 2 − g 2  q 2     q 2 + m 2 m 2 m 2 m 2  Dick Furnstahl TALENT: Nuclear forces

NDA and Naturalness ∆ s in chiral EFT Chiral EFT: Resonance Saturation (cont.) Compare coefficients from phenomenological models to low-energy constants of chiral EFT: 1.5 NLO NNLO 1 0.5 0 -0.5 C 1S0 C 3S1 C ε 1 C 1P1 C 3P0 C 3P1 C 3P2 C 1S0 C 3S1 Dick Furnstahl TALENT: Nuclear forces

NDA and Naturalness ∆ s in chiral EFT Chiral EFT: Resonance Saturation (cont.) Compare coefficients from phenomenological models to low-energy constants of chiral EFT: 1.5 Bonn-B NLO NNLO 1 0.5 0 -0.5 C 1S0 C 3S1 C ε 1 C 1P1 C 3P0 C 3P1 C 3P2 C 1S0 C 3S1 Dick Furnstahl TALENT: Nuclear forces

NDA and Naturalness ∆ s in chiral EFT Chiral EFT: Resonance Saturation (cont.) Compare coefficients from phenomenological models to low-energy constants of chiral EFT: 1.5 Bonn-B NLO CD-Bonn NNLO 1 0.5 0 -0.5 C 1S0 C 3S1 C ε 1 C 1P1 C 3P0 C 3P1 C 3P2 C 1S0 C 3S1 Dick Furnstahl TALENT: Nuclear forces

NDA and Naturalness ∆ s in chiral EFT Chiral EFT: Resonance Saturation (cont.) Compare coefficients from phenomenological models to low-energy constants of chiral EFT: 1.5 Bonn-B NLO CD-Bonn NNLO Nijmegen 93 1 0.5 0 -0.5 C 1S0 C 3S1 C ε 1 C 1P1 C 3P0 C 3P1 C 3P2 C 1S0 C 3S1 Dick Furnstahl TALENT: Nuclear forces

NDA and Naturalness ∆ s in chiral EFT Outline NDA, naturalness, and resonance saturation Including ∆ s in chiral EFT (from H. Krebs) Dick Furnstahl TALENT: Nuclear forces

NDA and Naturalness ∆ s in chiral EFT Dick Furnstahl TALENT: Nuclear forces

NDA and Naturalness ∆ s in chiral EFT Dick Furnstahl TALENT: Nuclear forces

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NDA and Naturalness ∆ s in chiral EFT Dick Furnstahl TALENT: Nuclear forces