Renormalization of chiral two-pion exchange NN interactions with Delta-excitations: Central Phases and the Deuteron

Abstract

The renormalization of the chiral np interaction with Delta-excitations in intermediate states is considered at next-to-leading order (NLO) and next-to-next-to-leading order (N2LO) for central waves. The inclusion of the Delta-excitation as an explicit degree of freedom improves the convergence properties of the effective field theory results for np scattering with respect to Delta-less theory, and allows the existence of a deuteron bound state in the infinite cut-off limit. The 1S_0 singlet and 3S_1 triplet phase shifts reproduce data for p ~ m_pi. The role of spectral function regularization is also discussed.

19 pages, 9 figures

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• Nuclear Force from Lattice QCD
• Quark-model study of few-baryon systems
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• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space
• Delta-excitations and the three-nucleon force
• Renormalization of Singular Potentials and Power Counting
• Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory
• Renormalization Group Analysis of Boundary Conditions in Potential Scattering
• Deuteron form factors in chiral effective theory: regulator-independent results and the role of two-pion exchange
• Role of the Delta(1232) in pion-deuteron scattering at threshold within chiral effective field theory
• Renormalization of NN Interaction with Relativistic Chiral Two Pion Exchange
• Deuteron radial moments for renormalized chiral potentials

Cited by in corpus (18)

• Modern Theory of Nuclear Forces
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
• Renormalizing Chiral Nuclear Forces: Triplet Channels
• Delta isobars and nuclear saturation
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Short-range nuclear forces in singlet channels
• Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves
• Heavy Baryon-Antibaryon Molecules in Effective Field Theory
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Full optimization and validation
• Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter
• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Renormalization of chiral two pion exchange NN interactions with delta excitations: correlations in the partial wave expansion
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
• Bayesian Analysis of $\chi$EFT at Leading Order in a Modified Weinberg Power Counting Approach
• Old nuclear symmetries and large N(c) as long distance symmetries in the two nucleon system
• Enhancement of deltaful two-pion exchange nuclear forces