Enhancement of deltaful two-pion exchange nuclear forces

Abstract

The role of the delta isobar degrees of freedom in nucleon-nucleon scattering is revisited. We attempt to understand why the dimensionally regularized two-pion exchanges with the explicit delta isobar is much stronger than the ones with spectral function regularization. When the cutoff value of spectral function regularization is varied, the isoscalar central component exhibits a rather large cutoff variation. This reveals a surprisingly large numerical factor of the deltaful two-pion exchange potentials. The power counting is adjusted accordingly and we discuss the results and how to improve upon this finding.

arXiv comment16 pages, 6 figures

References in corpus (37)

• The Two-Nucleon Potential from Chiral Lagrangians
• Renormalization of One-Pion Exchange and Power Counting
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Effective theory of the Delta(1232) in Compton scattering off the nucleon
• Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Local chiral potentials and the structure of light nuclei
• Improving the convergence of the chiral expansion for nuclear forces I: Peripheral phases
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Renormalizing Chiral Nuclear Forces: Triplet Channels
• Delta isobars and nuclear saturation
• Short-range nuclear forces in singlet channels
• Delta-excitations and the three-nucleon force
• Leading order relativistic chiral nucleon-nucleon interaction
• Momentum and Coordinate Space Three-nucleon Potentials
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• Power Counting in Peripheral Partial Waves: The Singlet Channels
• The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
• Three-nucleon force in chiral EFT with explicit $\Delta (1232)$ degrees of freedom: Longest-range contributions at fourth order
• Perturbative $NN$ scattering in chiral effective field theory
• $\pi N$ Scattering in the $\Delta (1232)$ Region in an Effective Field Theory
• Improved convergence of chiral effective field theory for 1S0 of NN scattering
• On the convergence of nuclear effective field theory with perturbative pions
• Delta Effects in Pion-Nucleon Scattering and the Strength of the Two-Pion-Exchange Three-Nucleon Interaction
• The multiple-scattering series in pion-deuteron scattering and the nucleon-nucleon potential: perspectives from effective field theory
• Towards a high precision calculation for the pion-nucleus scattering lengths
• Model-independent effects of Delta excitation in nucleon polarizabilities
• Isospin-breaking two-nucleon force with explicit Delta-excitations
• Ab-initio coupled-cluster calculations of ground and dipole excited states in 8He
• Nucleon-nucleon potentials from Delta-full chiral effective-field-theory and implications
• Renormalization of chiral two-pion exchange NN interactions with Delta-excitations: Central Phases and the Deuteron
• Constructing chiral effective field theory around unnatural leading-order interactions
• Two-pion exchange as a leading-order contribution in chiral effective field theory
• Perturbative computations of neutron-proton scattering observables using renormalization-group invariant $\chi$EFT up to N${}^3$LO
• Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases