Towards a Perturbative Theory of Nuclear Forces

Abstract

We show that an expansion of nuclear forces about the chiral limit is formally consistent and is equivalent to KSW power counting in the 1S0 channel and Weinberg power counting in the 3S1-3D1 coupled channels. Numerical evidence suggests that this expansion converges. The feasibility of making contact between nuclear physics and lattice-QCD simulations is discussed.

28 pages LaTex, 28 eps figures

Cited by in corpus (160)

• Modern Theory of Nuclear Forces
• Universality in Few-body Systems with Large Scattering Length
• The fundamental constants and their variation: observational status and theoretical motivations
• Effective Field Theory for Few-Nucleon Systems
• The two-nucleon system at next-to-next-to-next-to-leading order
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Nuclear effective field theory: status and perspectives
• Renormalization of One-Pion Exchange and Power Counting
• Two Nucleons on a Lattice
• Is nuclear matter perturbative with low-momentum interactions?
• Nuclear forces in the chiral limit
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• Power counting with one-pion exchange
• A new leading contribution to neutrinoless double-beta decay
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• Chiral 2pi exchange at order four and peripheral NN scattering
• Nuclear Parity-Violation in Effective Field Theory
• Neutrinoless double-beta decay and effective field theory
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Central Phases and the Deuteron
• The Quark-Mass Dependence of Two-Nucleon Systems
• Two Nucleon Systems at $m_{\pi }\sim 450\mathrm{MeV}$ from Lattice QCD
• Regularization, renormalization and "peratization" in effective field theory for two nucleons
• Variation of Fundamental Couplings and Nuclear Forces
• Efimov States in Nuclear and Particle Physics
• A renormalized approach to neutrinoless double-beta decay
• The Effective Chiral Lagrangian From Dimension-Six Parity and Time-Reversal Violation
• Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
• Nucleon-Nucleon Scattering Parameters in the Limit of SU(3) Flavor Symmetry
• Renormalizing Chiral Nuclear Forces: Triplet Channels
• Radiative neutron capture on a proton at BBN energies
• Effective Field Theory for Lattice Nuclei
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Non-Central Phases
• An Infrared Renormalization Group Limit Cycle in QCD
• Four-nucleon force in chiral effective field theory
• Nuclear chiral dynamics and thermodynamics
• A renormalisation group approach to two-body scattering in the presence of long-range forces
• Renormalization of the Deuteron with One Pion Exchange
• Nuclear Physics Around the Unitarity Limit
• Time-varying coupling strengths, nuclear forces and unification
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Electroweak Matrix Elements in the Two-Nucleon Sector from Lattice QCD
• Limits on Cosmological Variation of Strong Interaction and Quark Masses from Big Bang Nucleosynthesis, Cosmic, Laboratory and Oklo Data
• Hadronic Parity Violation: a New View through the Looking Glass
• Three-body $D\bar{D}\pi$ dynamics for the X(3872)
• Two-Nucleon Systems in a Finite Volume: (I) Quantization Conditions
• Naive Dimensional Analysis for Three-Body Forces Without Pions
• Electric Dipole Moments of Light Nuclei From Chiral Effective Field Theory
• Varying the light quark mass: impact on the nuclear force and Big Bang nucleosynthesis
• Ground state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory
• Nuclear Lattice Simulations with Chiral Effective Field Theory
• The singular inverse square potential, limit cycles and self-adjoint extensions
• Towards grounding nuclear physics in QCD
• Leading order relativistic chiral nucleon-nucleon interaction
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• The Effective Chiral Lagrangian From the Theta Term
• Neutrinoless double beta decay in effective field theory: the light Majorana neutrino exchange mechanism
• On the renormalization of the one-pion exchange potential and the consistency of Weinberg's power counting
• X(3872) in the molecular model
• The S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory
• Dependence of the triple-alpha process on the fundamental constants of nature
• Double-$\beta$ Decay Matrix Elements from Lattice Quantum Chromodynamics
• Constraining the variation of the coupling constants with big bang nucleosynthesis
• On the modification of the Efimov spectrum in a finite cubic box
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• Effective field theory of the deuteron with dibaryon field
• Short Range Correlations and the EMC Effect in Effective Field Theory
• Perturbative nuclear physics
• Renormalization of Singlet NN-Scattering with One Pion Exchange and Boundary Conditions
• The Time-Reversal- and Parity-Violating Nuclear Potential in Chiral Effective Theory
• Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves
• Transition between nuclear and quark-gluon descriptions of hadrons and light nuclei
• Renormalization of NN-Scattering with One Pion Exchange and Boundary Conditions
• New Ideas in Constraining Nuclear Forces
• Spectra and Scattering of Light Lattice Nuclei from Effective Field Theory
• The Theory of Parity Violation in Few-Nucleon Systems
• Lattice Calculation of Thermal Properties of Low-Density Neutron Matter with Pionless NN Effective Field Theory
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Systematic Low-Energy Effective Theory for Magnons and Charge Carriers in an Antiferromagnet
• Power Counting in Peripheral Partial Waves: The Singlet Channels
• Universality of Mixed Action Extrapolation Formulae
• Efimov Physics and Connections to Nuclear Physics
• A New Paradigm for Hadronic Parity Nonconservation and its Experimental Implications
• The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
• Infinite-cutoff renormalization of the chiral nucleon-nucleon interaction at N3LO
• Chiral NN model and Ay puzzle
• Resonance on top of thresholds: the ${\Lambda }_c(2595{)}^{+}$ as an extremely fine-tuned state
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• Geometry and entanglement in the scattering matrix
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• Using chiral perturbation theory to extract the neutron-neutron scattering length from pi- d -> n n gamma
• Relativistic $O(q^4)$ two-pion exchange nucleon-nucleon potential: configuration space
• Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter
• Naturalness in Nuclear Effective Field Theories
• Two-nucleon scattering: merging chiral effective field theory with dispersion relations
• The Renormalization Group in Nuclear Physics
• Effective Field Theory and Finite Density Systems
• Maximally self-interacting dark matter: models and predictions
• Challenges in Nuclear Structure Theory
• Sommerfeld enhancement from Goldstone pseudo-scalar exchange
• Renormalized Path Integral for the Two-Dimensional Delta-Function Interaction
• Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
• Low-energy theorems for nucleon-nucleon scattering at $M_{\pi }=450$ MeV
• Partially-Quenched Nucleon-Nucleon Scattering
• Consistency of the effective-field-theory approach to the nucleon-nucleon interaction problem revisited
• Geometric Quantum Information Structure in Quantum Fields and their Lattice Simulation
• Nuclear forces from chiral EFT: The unfinished business
• The near threshold N N -> d pi reaction in chiral perturbation theory
• Entanglement Spheres and a UV-IR connection in Effective Field Theories
• Universality of the EMC Effect
• Wilsonian RG and Redundant Operators in Nonrelativistic Effective Field Theory
• On the Quark Mass Dependence of Two Nucleon Observables
• Energies and radii of light nuclei around unitarity
• Nucleon-nucleon interaction in chiral EFT with a finite cutoff: explicit perturbative renormalization at next-to-leading order
• Renormalization of the 1S0 One-Pion-Exchange NN Interaction in Presence of Derivative Contact Interactions
• Pions in the Pionless Effective Field Theory
• Deuteron electromagnetic form factors in a renormalizable formulation of chiral effective field theory
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Pions are neither perturbative nor nonperturbative: Wilsonian renormalization group analysis of nuclear effective field theory including pions
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• Renormalization of $NN$ scattering: contact potential
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• Renormalization of chiral two-pion exchange NN interactions with Delta-excitations: Central Phases and the Deuteron
• The Lambda_Q-Lambda_Q Potential
• On the quark mass dependence of nucleon-nucleon S-wave scattering lengths
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• Toroidal Quadrupole Form Factor of the Deuteron
• Effective Field Theory with Dibaryon Fields: Nucleon-Nucleon amplitudes at NNLO
• Possible bound state of the double heavy meson-baryon system
• Large-cutoff behavior of local chiral effective field theory interactions
• Chiral Perturbation for Large Momentum Effective Field Theory
• Deuteron Compton Scattering in Effective Field Theory And Spin-Independent Nucleon Polarizabilities
• Short-range three-nucleon forces and low-energy constants
• Microscopic Model versus Systematic Low-Energy Effective Field Theory for a Doped Quantum Ferromagnet
• Chiral perturbation theory for electroweak reactions on deuterium
• Effective Field Theories of Light Nuclei
• Effective Field Theory for Nuclear Physics
• Renormalization of pionless effective field theory in the A-body sector
• What hath Weinberg wrought? Reflections on what Weinberg's papers on 'Nuclear Forces from Chiral Lagrangians' did and did not accomplish
• Nucleons and nuclei in the context of low-energy QCD
• Finite-Size Effects in Heavy Halo Nuclei from Effective Field Theory
• A Padé-aided analysis of nonperturbative $NN$ scattering in ${}^1{S}_0$ channel
• $NN$ scattering in ${}^3{S}_1{-}^3{D}_1$ channels of EFT ($/\pi$)
• Matching effective few-nucleon theories to QCD
• Dilute Nuclear Matter in Chiral Perturbation Theory
• Meaning of the nuclear wave function
• Nuclear Physics from QCD
• Anomalous mapping between pionfull and pionless EFT's
• Renormalization of One-Pion Exchange in Higher Partial Waves in Chiral Effective Field Theory for Antinucleon-Nucleon System
• Nuclear Lattice Simulations with EFT