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

+ · · ·

g2 q2 + m2 g2 m2 − g2 m2

   q2

m2

   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:

C1S0 C1S0 C3S1 C3S1 Cε1 C1P1 C3P0 C3P1 C3P2

• 0.5

0.5 1 1.5 NLO NNLO

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:

C1S0 C1S0 C3S1 C3S1 Cε1 C1P1 C3P0 C3P1 C3P2

• 0.5

0.5 1 1.5 Bonn-B NLO NNLO

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:

C1S0 C1S0 C3S1 C3S1 Cε1 C1P1 C3P0 C3P1 C3P2

• 0.5

0.5 1 1.5 Bonn-B CD-Bonn NLO NNLO

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:

C1S0 C1S0 C3S1 C3S1 Cε1 C1P1 C3P0 C3P1 C3P2

• 0.5

0.5 1 1.5 Bonn-B CD-Bonn Nijmegen 93 NLO NNLO

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

NDA and Naturalness ∆s in chiral EFT

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Dick Furnstahl TALENT: Nuclear forces

NDA and Naturalness ∆s in chiral EFT

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Dick Furnstahl TALENT: Nuclear forces

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