Two-Nucleon Systems from Effective Field Theory

Abstract

We elaborate on a new technique for computing properties of nucleon-nucleon interactions in terms of an effective field theory derived from low energy NN scattering data. Details of how the expansion is carried out to higher orders are presented. Analytic formulae are given for the amplitude to subleading order in both the 1S0 and 3S1-3D1 channels.

28 pages, 10 figures, latex. Corrected some typos

References in corpus (1)

• A New Expansion for Nucleon-Nucleon Interactions

Cited by in corpus (502)

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• Pairing in nuclear systems with effective Gogny and V_low-k interactions
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• Two- and three-nucleon contact interactions and ground-state energies of light- and medium-mass nuclei
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• The N N -> NN pi+ Reaction near Threshold in a Chiral Power Counting Approach
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• Hidden spin-isospin exchange symmetry
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• Investigation of the $nn\Lambda$ bound state in pionless effective theory
• Three-nucleon bound states and the Wigner-SU(4) limit
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• Partially-Quenched Nucleon-Nucleon Scattering
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• Scheming in Dimensional Regularization
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• Wilsonian RG and Redundant Operators in Nonrelativistic Effective Field Theory
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• Universality of the EMC Effect
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• NN scattering in higher derivative formulation of baryon chiral perturbation theory
• Counter Terms for Low Momentum Nucleon-Nucleon Interactions
• $nd$ Scattering and the $A_y$ Puzzle to Next-to-next-to-next-to-leading Order
• Deuteron Magnetic Quadrupole Moment From Chiral Effective Field Theory
• Inequalities for low-energy symmetric nuclear matter
• Description of light nuclei in pionless effective field theory using the stochastic variational method
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• Hadronic decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• Models, measurements, and effective field theory: proton capture on Beryllium-7 at next-to-leading order
• Effective field theory of interactions on the lattice
• Optical Potentials Derived from Nucleon-Nucleon Chiral Potentials at N4LO
• Constructing chiral effective field theory around unnatural leading-order interactions
• Study of three-flavored heavy dibaryons using lattice QCD
• Quasiparticle Properties in Effective Field Theory
• Nonlocality of the NN interaction in an effective field theory
• On neutral pion electroproduction off deuterium
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• Effective field theory for dilute Fermi systems at fourth order
• Finite-volume energy shift of the three-nucleon ground state
• Chiral potentials, perturbation theory, and the 1S0 channel of NN scattering
• Study of the anomalous cross-section lineshape of e^+e^-\to D\bar D at ψ(3770) with an effective field theory
• Heavy hadron molecules in effective field theory: the emergence of exotic nuclear landscapes
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• Radiation pions in two-nucleon effective field theory
• An alternative scheme for effective range corrections in pionless EFT
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
• What Can Possibly Go Wrong?
• Electron-deuteron scattering in the equal-time formalism: beyond the impulse approximation
• Tan's distributions and Fermi-Huang pseudopotential in momentum space
• Effective field theory and the scattering process for magnons in the ferromagnet, antiferromagnet, and ferrimagnet
• Effective Field Theory of Emergent Symmetry Breaking in Deformed Atomic Nuclei
• More about the Wilsonian analysis on the pionless NEFT
• The nature of $Z_b$ states from a combined analysis of ${\rm Y}(5S)\to h_b(mP){\pi }^{+}{\pi }^{-}$ and ${\rm Y}(5S)\to B^{(\ast )}{\bar{B}}^{(\ast )}\pi$
• Nonrelativistic Effective Field Theory with a Resonance Field
• Toroidal Quadrupole Form Factor of the Deuteron
• Effective Field Theory for Two-Body Systems with Shallow S-Wave Resonances
• On the Role of Charmed Meson Loops in Charmonium Decays
• Scattering phase shifts from a quantum computer
• Large-$N_c$ Relationships Among Two-Derivative Pionless Effective Field Theory Couplings
• Zone Determinant Expansions for Nuclear Lattice Simulations
• Comment on "How (not) to renormalize integral equations with singular potentials in effective field theory"
• Predictions for Polarized-Beam/Vector-Polarized-Target Observables in Elastic Compton Scattering on the Deuteron
• A general T-matrix approach applied to two-body and three-body problems in cold atomic gases
• Constraining the neutron-neutron scattering length with \eftnopi
• Hyperon-nucleon single-particle potentials with low-momentum interactions
• Unitarity and Universality in non relativistic Conformal Field theory
• DVCS-Dissociation of the Deuteron and the EMC Effect
• Nonlinear Realization of Chiral Symmetry on the Lattice
• Reply to "Comment on "How (not) to renormalize integral equations with singular potentials in effective field theory"
• $N\bar{N}$ Scattering at NLO Order in An Effective Theory
• Pion-less Effective Field Theory on Low-Energy Deuteron Electro-Disintegration
• Perturbative chiral nucleon-nucleon potential for the ${}^3{P}_0$ partial wave
• Tensor Polarized Gamma-Deuteron Compton Scattering in Effective Field Theory
• Cluster effective field theory and nuclear reactions
• Large-cutoff behavior of local chiral effective field theory interactions
• Renormalization of nuclear chiral effective field theory with non-perturbative leading order interactions
• Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe-Goldstone ladder resummation approach
• Large-$N_c$ analysis of magnetic and axial two-nucleon currents in pionless effective field theory
• On-shell approximation for the s-wave scattering theory
• Three-body systems in pionless effective field theory
• Deuteron Compton Scattering in Effective Field Theory: Spin-Dependent Cross Sections and Asymmetries
• Ideal gas matching for thermal Galilean holography
• Conformal Structure of the Heavy Particle EFT Operator Basis
• Renormalization group analysis of nuclear current operators
• Resonant relativistic corrections and the A_y problem
• Parity-Violating Three Nucleon Interactions at Low Energies and Large-$N_C$
• Composite Vector Particles in External Electromagnetic Fields
• Drell-Hearn-Gerasimov Sum-Rule for the Deuteron in Nuclear Effective Field Theory
• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Microscopic Model versus Systematic Low-Energy Effective Field Theory for a Doped Quantum Ferromagnet
• Deuteron Compton Scattering in Effective Field Theory And Spin-Independent Nucleon Polarizabilities
• The entanglement spectrum and Rényi entropies of non-relativistic conformal fermions
• Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
• General aspects of effective field theories and few-body applications
• Universal behavior of $p$-wave proton-proton fusion near threshold
• Perturbative Calculations of Deuteron Form Factors
• Electric structure of shallow D-wave states in Halo EFT
• Covariant Spectator Theory of np scattering: Isoscalar interaction currents
• Charge and Matter Form Factors of Two-Neutron Halo Nuclei in Halo Effective Field Theory at Next-to-leading-order
• Baryogenesis and Dark Matter in Multiple Hidden Sectors
• Subleading contributions to $N$-boson systems inside the universal window
• Describing Nuclear Matter with Effective Field Theories
• Halo structure of ${}^{17}$C
• Effective Field Theory for Nuclear Physics
• Radiative decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• Large-$N_c$ constraints for elastic dark matter-light nucleus scattering in pionless effective field theory
• A further study on the renormalization group aspect of perturbative corrections
• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED
• Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
• Non-perturbative methods for NN singular interactions
• Universal physics of the few-body system of two neutrons and one flavored meson
• Limitations of the heavy-baryon expansion as revealed by a pion-mass dispersion relation
• Classification of Coupled-Channel Near-Threshold Structures
• Pion parameters in nuclear medium from chiral perturbation theory and virial expansion
• Forward doubly-virtual Compton scattering off an unpolarised deuteron in pionless effective field theory
• Renormalization of chiral nuclear forces with multiple subtractions in peripheral channels
• Nuclear pairing from chiral pion-nucleon dynamics
• Short-range interactions and narrow resonances in effective field theory
• What hath Weinberg wrought? Reflections on what Weinberg's papers on 'Nuclear Forces from Chiral Lagrangians' did and did not accomplish
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
• Properties of Lithium-11 and Carbon-22 at leading order in halo effective field theory
• Neutron transfer reactions in halo effective field theory
• A nonperturbative parametrization and scenario for EFT renormalization
• Effective Theories of Dense and Very Dense Matter
• Chiral symmetry in nuclei
• Estimates and power counting in uniform matter with softened interactions
• A note on nonperturbative renormalization of effective field theory
• Theoretical evaluation of solar proton-proton fusion reaction rate and its uncertainties
• Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
• Local two- and three-nucleon chiral interactions
• A Padé-aided analysis of nonperturbative $NN$ scattering in ${}^1{S}_0$ channel
• Dynamical Screening of $\alpha$-$\alpha$ Resonant Scattering and Thermal Nuclear Scattering Rate in a Plasma
• $NN$ scattering in ${}^3{S}_1{-}^3{D}_1$ channels of EFT ($/\pi$)
• Low-energy theorems for neutron-proton scattering in $\chi$EFT using a perturbative power counting
• Effective Field Theory for Nuclear Physics
• Nucleon-nucleon scattering with perturbative pions: The uncoupled $P$-wave channels
• Dilute Nuclear Matter in Chiral Perturbation Theory
• Toward precision Fermi liquid theory in two dimensions
• Four-Body Systems at Large Cutoffs in Effective Field Theory
• Feasibility of perturbative generation of bound-states from resonances or virtual states
• Neutrinoless double-beta decay in a finite volume from relativistic effective field theory
• Lattice methods and effective field theory
• Skewness of nuclear matter and three-particle correlations
• Role of scalar dibaryon and $f_0(500)$ in the isovector channel of low-energy neutron-proton scattering
• Matching effective few-nucleon theories to QCD
• Padé expansion and the renormalization of nucleon-nucleon scattering
• Electric Properties of One-Neutron Halo Nuclei in Halo EFT
• Radiative Corrections and the Renormalization Group for the Two-Nucleon Interaction in Effective Field Theory
• $Z_c(3900)$ in a hadronic molecule and a triangle singularity approach at finite temperature
• Low-Energy Deuteron-Alpha Elastic Scattering in Cluster Effective Field Theory
• Universality and tails of long range interactions in one dimension
• Short-range force between two Higgs bosons
• An Effective Field Theory Approach to the Stabilization of ${}^8$Be in a QED Plasma
• Residual cut-off dependence and power counting: the deuteron as a case study
• Effective theory of NN interactions in a separable representation
• From few to many body degrees of freedom
• Contact interactions, self-adjoint extensions, and low-energy scattering
• Form factors of the $\rho$ meson from effective field theory and the lattice
• Nuclear Physics from QCD
• Renormalization group analysis of electromagnetic properties of the deuteron
• Quantum N-Boson States and Quantized Motion of Solitonic Droplets: Universal Scaling Properties in Low Dimensions
• From QCD to Physical Resonances
• Two-Body Triton Photodisintegration and Wigner-SU(4) Symmetry
• 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
• Two Particles with Zero-Range Interaction in a Magnetic Field
• One- and two-neutron halos in effective field theory
• ${}_{\Lambda \Lambda }^5$H and ${}_{\Lambda \Lambda }^5$He Hypernuclei reexamined in Halo/Cluster Effective Theory
• Exploring Lattice Methods for Cold Fermionic Atoms
• Solar Proton Burning Process Revisited within a Covariant Model Based on the Bethe-Salpeter Formalism
• Nucleon propagation through nuclear matter in chiral effective field theory
• Effective Field Theory and the Nuclear Many Body Problem
• Auxiliary counterterms and their role in effective field theory
• Anomalous mapping between pionfull and pionless EFT's
• Neutron-neutron distribution of the triton from pionless EFT
• Halo EFT for ${}^{31}$Ne in a spherical formalism
• A reassessment of nuclear effects in muonic deuterium using pionless effective field theory at N3LO
• Halo EFT calculation of charge form factor for two-neutron ${}^6\text{He}$ halo nucleus: two-body resonant P-wave interaction
• UV/IR symmetries of the $S$-matrix and RG flow
• Short-distance production of three particles with large scattering length
• 'Running' under tight constraints in pionless effective field theory
• Renormalization of One-Pion Exchange in Higher Partial Waves in Chiral Effective Field Theory for Antinucleon-Nucleon System
• Symmetries of the nucleon-nucleon $S$-matrix and effective field theory expansions