A New Expansion for Nucleon-Nucleon Interactions

Abstract

We introduce a new and well defined power counting for the effective field theory describing nucleon-nucleon interactions. Because of the large NN scattering lengths it differs from other applications of chiral perturbation theory and is facilitated by introducing an unusual subtraction scheme and renormalization group analysis. Calculation to subleading order in the expansion can be done analytically, and we present the results for both the 1S0 and 3S1-3D1 channels.

10 pages, 3 figures, latex. Corrected typo, small change to text

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• $N\bar{N}$ Scattering at NLO Order in An Effective Theory
• Wilsonian renormalization group and the Lippmann-Schwinger equation with a multitude of cutoff parameters
• Chiral Dynamics of Low-Energy Kaon-Baryon Interactions with Explicit Resonance
• Effective field theory for shallow P-wave states
• Unitarity and Universality in non relativistic Conformal Field theory
• Universal and non-universal effective $N$-body interactions for ultracold harmonically-trapped few-atom systems
• DVCS-Dissociation of the Deuteron and the EMC Effect
• The Coulomb interaction in Helium-3: Interplay of strong short-range and weak long-range potentials
• Cluster effective field theory and nuclear reactions
• Pi in the Sky: Neutron Stars with Exceptionally Light QCD Axions
• Renormalization of nuclear chiral effective field theory with non-perturbative leading order interactions
• Perturbative chiral nucleon-nucleon potential for the ${}^3{P}_0$ partial wave
• A Higher-Order Calculation of $np$ Scattering in Cut-Off Effective Field Theory
• Three-body systems in physics of cold atoms and halo nuclei
• Large-cutoff behavior of local chiral effective field theory interactions
• Two-nucleon scattering in a modified Weinberg approach with a symmetry-preserving regularization
• Tensor Polarized Gamma-Deuteron Compton Scattering in Effective Field Theory
• Precision calculation of the quartet-channel p-d scattering length
• Conformal Structure of the Heavy Particle EFT Operator Basis
• Ideal gas matching for thermal Galilean holography
• Large-$N_c$ analysis of magnetic and axial two-nucleon currents in pionless effective field theory
• Deuteron Compton Scattering in Effective Field Theory: Spin-Dependent Cross Sections and Asymmetries
• Three-body systems in pionless effective field theory
• Introduction to low-momentum effective interactions with Brown-Rho scaling and three-nucleon forces
• Two-pion exchange as a leading-order contribution in chiral effective field theory
• Drell-Hearn-Gerasimov Sum-Rule for the Deuteron in Nuclear Effective Field Theory
• Parity-Violating Three Nucleon Interactions at Low Energies and Large-$N_C$
• The entanglement spectrum and Rényi entropies of non-relativistic conformal fermions
• Equivalence of model space techniques and the renormalization group for a separable model problem
• Renormalization group analysis of nuclear current operators
• A Two Potential Formula and its Application to Proton-Proton Scattering
• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Deuteron Compton Scattering in Effective Field Theory And Spin-Independent Nucleon Polarizabilities
• Composite Vector Particles in External Electromagnetic Fields
• Microscopic Model versus Systematic Low-Energy Effective Field Theory for a Doped Quantum Ferromagnet
• Charge and Matter Form Factors of Two-Neutron Halo Nuclei in Halo Effective Field Theory at Next-to-leading-order
• Neutron-Neutron Fusion
• Lattice gas models derived from effective field theory
• Dynamical symmetry breaking of $\lambda {\varphi }^4$ in two loop effective potential
• General aspects of effective field theories and few-body applications
• Electric structure of shallow D-wave states in Halo EFT
• Universal behavior of $p$-wave proton-proton fusion near threshold
• Halo structure of ${}^{17}$C
• Hypernuclei in Halo/Cluster Effective Field Theory
• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED
• Baryogenesis and Dark Matter in Multiple Hidden Sectors
• Large-$N_c$ constraints for elastic dark matter-light nucleus scattering in pionless effective field theory
• Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
• Radiative decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• Effective Field Theory for Nuclear Physics
• Neutrino-nucleus interactions: open questions and future projects
• Effective Field Theories of Light Nuclei
• Subleading contributions to $N$-boson systems inside the universal window
• Coupled-channels treatment of ${}^7\mathrm{Be}(p,\gamma {)}^8\mathrm{B}$ in effective field theory
• Bubble Trouble: a Review on Electroweak Baryogenesis
• Radiative proton capture on ${}^{15}\mathrm{N}$ within effective field theory
• Short-range interactions and narrow resonances in effective field theory
• Dimensional Regularization in Quantum Field Theory with Ultraviolet Cutoff
• Spin polarization observables of the deuteron photodisintegration at low energies in pionless effective field theory
• Non-perturbative methods for NN singular interactions
• Precision neutron interferometric measurements of the n-p, n-d, and n-3He zero-energy coherent neutron scattering amplitudes
• Classification of Coupled-Channel Near-Threshold Structures
• Weak axial nuclear heavy meson exchange currents and interactions of solar neutrinos with deuterons
• 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
• Forward doubly-virtual Compton scattering off an unpolarised deuteron in pionless effective field theory
• Spectrum of light nuclei in a finite volume
• Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases
• Renormalization of chiral nuclear forces with multiple subtractions in peripheral channels
• Universal physics of the few-body system of two neutrons and one flavored meson
• Pion-only, chiral light-front model of the deuteron
• Chiral symmetry in nuclei
• Foundations of Strangeness Nuclear Physics derived from chiral Effective Field Theory
• New fixed points of the renormalisation group for two-body scattering
• Nucleon decay in the deuteron
• Neutron transfer reactions in halo effective field theory
• Coupled-channel treatment of ${}^7\mathrm{Li}(n,\gamma {)}^8\mathrm{Li}$ in effective field theory
• A nonperturbative parametrization and scenario for EFT renormalization
• Dimensional crossover in non-relativistic effective field theory
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
• A Padé-aided analysis of nonperturbative $NN$ scattering in ${}^1{S}_0$ channel
• Cold Neutron-Deuteron Capture and Wigner-SU(4) Symmetry
• Theoretical evaluation of solar proton-proton fusion reaction rate and its uncertainties
• Low-energy theorems for neutron-proton scattering in $\chi$EFT using a perturbative power counting
• Local two- and three-nucleon chiral interactions
• Effective field theory for one-dimensional nonrelativistic particles with contact interaction
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
• $NN$ scattering in ${}^3{S}_1{-}^3{D}_1$ channels of EFT ($/\pi$)
• Asymmetric regularization of the ground and excited state of the helium-4 nucleus
• A note on nonperturbative renormalization of effective field theory
• The $1/N_c$ expansion in hadron effective field theory
• Four-Body Systems at Large Cutoffs in Effective Field Theory
• Few-Nucleon Systems within Finite-Cutoff Pionless EFT
• Toward precision Fermi liquid theory in two dimensions
• Neutrinoless double-beta decay in a finite volume from relativistic effective field theory
• Renormalization of NN Chiral EFT, my personal mixed feelings
• Matching effective few-nucleon theories to QCD
• Electric dipole moments of three-nucleon systems in the pionless effective field theory
• Effective Field Theory for Nuclear Physics
• Role of scalar dibaryon and $f_0(500)$ in the isovector channel of low-energy neutron-proton scattering
• Effective range expansion in various scenarios of EFT($\notpi$)
• Worldline Monte Carlo method for few body nuclear physics
• Nucleon-nucleon scattering with perturbative pions: The uncoupled $P$-wave channels
• Renormalisation-group analysis of electromagnetic couplings in the pionless effective field theory
• Electric Properties of One-Neutron Halo Nuclei in Halo EFT
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
• Residual cut-off dependence and power counting: the deuteron as a case study
• $Z_c(3900)$ in a hadronic molecule and a triangle singularity approach at finite temperature
• Short-range force between two Higgs bosons
• Radiative Corrections and the Renormalization Group for the Two-Nucleon Interaction in Effective Field Theory
• Perturbative application of next-to-leading order pionless EFT for $A\le 3$ nuclei in a finite volume
• Universality and tails of long range interactions in one dimension
• Contact interactions, self-adjoint extensions, and low-energy scattering
• Universal noise and Efimov physics
• Hadronic molecules and multiquark states
• From few to many body degrees of freedom
• Renormalization group analysis of electromagnetic properties of the deuteron
• Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory
• The general propagator for S-wave threshold states
• Two-Body Triton Photodisintegration and Wigner-SU(4) Symmetry
• Two Particles with Zero-Range Interaction in a Magnetic Field
• Exact evaluation of large-charge correlation functions in non-relativistic conformal field theory
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory
• One- and two-neutron halos in effective field theory
• Nuclear Physics from QCD
• ${}_{\Lambda \Lambda }^5$H and ${}_{\Lambda \Lambda }^5$He Hypernuclei reexamined in Halo/Cluster Effective Theory
• From QCD to Physical Resonances
• Closed-form Brückner $G$-matrix and nuclear matter in EFT($/\pi$)
• The ${}^9$Be photodisintegration cross section within Cluster Effective Field Theory
• Halo EFT for ${}^{31}$Ne in a spherical formalism
• Auxiliary counterterms and their role in effective field theory
• Short-distance production of three particles with large scattering length
• Quantum Simulation of Nuclear Dynamics in First Quantization
• Neutron-neutron distribution of the triton from pionless EFT
• Anomalous mapping between pionfull and pionless EFT's
• Two-nucleon problem in semi-relativistic baryon chiral perturbation theory
• Symmetries of the nucleon-nucleon $S$-matrix and effective field theory expansions
• A reassessment of nuclear effects in muonic deuterium using pionless effective field theory at N3LO
• Renormalization of One-Pion Exchange in Higher Partial Waves in Chiral Effective Field Theory for Antinucleon-Nucleon System
• UV/IR symmetries of the $S$-matrix and RG flow
• 'Running' under tight constraints in pionless effective field theory
• Trapped two-nucleon system in energy-dependent effective field theory