Incorporating dimer fields into the effective field theory resolves poles in the C-matrix from the angular momentum barrier, yielding cutoff-insensitive leading-order fits to nucleon-nucleon phase shifts up to the pion threshold.
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Modern Theory of Nuclear Forces
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abstract
Effective field theory allows for a systematic and model-independent derivation of the forces between nucleons in harmony with the symmetries of Quantum Chromodynamics. We review the foundations of this approach and discuss its application for light nuclei at various resolution scales. The extension of this approach to many-body systems is briefly sketched.
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Quadratic WIMP-ALP coupling induces coherent freeze-out that allows WIMP annihilation cross sections up to 1000 times larger than standard while matching relic density, plus an ALP miracle where Planck-suppressed couplings naturally yield correct ALP dark matter abundance independent of initial mass
A parametric low-rank update to the Hamiltonian reduces the A-body problem exactly to a low-dimensional matrix equation at fixed energy.
Improved leading-order lattice Hamiltonians lower the liquid-gas critical temperature of symmetric nuclear matter to 13.50(17)-13.71(19) MeV while improving zero-temperature binding energies and saturation point.
Bootstrap consistency checks show that the NLO chiral EFT potential for the 1S0 two-nucleon wave remains valid over a significantly wider energy range than the LO version when compared to Granada phase shifts.
Auxiliary counterterms provide exact cutoff independence in EFTs but encode no new physics and aid renormalization consistency and convergence.
The manifestly Lorentz-invariant chiral EFT potential at NLO, treated non-perturbatively, yields a reasonable description of low-energy NN phase shifts and deuteron properties.
Six classes of CP-violating operators near the QCD scale produce distinct EDM patterns that enable discrimination of their origins and distinguish high-scale versus low-energy sources of the axion vacuum expectation value.
Perturbative N3LO calculations in chiral EFT with RG-guided power counting yield robust predictions for light nuclei energies when calibrated on the tritium binding energy.
Chiral EFT derivation of the Δ⁻ → p e⁻ e⁻ amplitude including long-range neutrino loops, short-range counterterms, pion-mass dependence for collinear electrons, and a long-range prediction in the degenerate Δ-nucleon mass limit.
The DNN system forms a robust compact bound state in the I=1/2 (1^-) channel across cutoffs, while D*NN exhibits spin-dependent bound states in 0^-, 1^-, and 2^- channels with no resonances found.
Nonparametric GP-based high-density extensions yield softer EOS posteriors with larger uncertainties than parametric PP extensions when jointly constrained by multi-messenger neutron star observations.
Nuclei are 3A-quark systems where Fermi gas explains equal u/d quarks in light nuclei, a modified bag model fits heavier ones, and AdS5 duality predicts the lightest glueball's decay and sets the maximum stable nuclear charge at Z=82 for lead.
After removing renormalization-scheme-dependent short-distance parts, the scrutinized three-nucleon forces yield small contributions to neutron and symmetric nuclear matter equations of state, aligning with standard chiral EFT expectations.
The universality assumption in the Koonin-Pratt formula for femtoscopic correlations introduces potentially large intrinsic uncertainty when extracting strong interactions between hadrons like nucleons.
citing papers explorer
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Dimer Effective Field Theory
Incorporating dimer fields into the effective field theory resolves poles in the C-matrix from the angular momentum barrier, yielding cutoff-insensitive leading-order fits to nucleon-nucleon phase shifts up to the pion threshold.
-
WIMP Meets ALP: Coherent Freeze-Out of Dark Matter
Quadratic WIMP-ALP coupling induces coherent freeze-out that allows WIMP annihilation cross sections up to 1000 times larger than standard while matching relic density, plus an ALP miracle where Planck-suppressed couplings naturally yield correct ALP dark matter abundance independent of initial mass
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Exact emulation of few-body systems at low cost
A parametric low-rank update to the Hamiltonian reduces the A-body problem exactly to a low-dimensional matrix equation at fixed energy.
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From binding and saturation to criticality in nuclear matter with lattice effective field theory
Improved leading-order lattice Hamiltonians lower the liquid-gas critical temperature of symmetric nuclear matter to 13.50(17)-13.71(19) MeV while improving zero-temperature binding energies and saturation point.
-
Bootstrapping Two-Nucleon Effective Field Theories
Bootstrap consistency checks show that the NLO chiral EFT potential for the 1S0 two-nucleon wave remains valid over a significantly wider energy range than the LO version when compared to Granada phase shifts.
-
Auxiliary counterterms and their role in effective field theory
Auxiliary counterterms provide exact cutoff independence in EFTs but encode no new physics and aid renormalization consistency and convergence.
-
Nucleon-nucleon scattering up to next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: low phases and the deuteron
The manifestly Lorentz-invariant chiral EFT potential at NLO, treated non-perturbatively, yields a reasonable description of low-energy NN phase shifts and deuteron properties.
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The EDM inverse problem: Identifying the sources of CP violation and PQ breaking with electric dipole moments
Six classes of CP-violating operators near the QCD scale produce distinct EDM patterns that enable discrimination of their origins and distinguish high-scale versus low-energy sources of the axion vacuum expectation value.
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Perturbative calculations of light nuclei up to N$^3$LO in chiral effective field theory
Perturbative N3LO calculations in chiral EFT with RG-guided power counting yield robust predictions for light nuclei energies when calibrated on the tritium binding energy.
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Neutrinoless double-beta decay of the $\Delta^-$ resonance
Chiral EFT derivation of the Δ⁻ → p e⁻ e⁻ amplitude including long-range neutrino loops, short-range counterterms, pion-mass dependence for collinear electrons, and a long-range prediction in the degenerate Δ-nucleon mass limit.
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Three-body molecular states composed of $D^{(*)}$ and two nucleons
The DNN system forms a robust compact bound state in the I=1/2 (1^-) channel across cutoffs, while D*NN exhibits spin-dependent bound states in 0^-, 1^-, and 2^- channels with no resonances found.
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Equation of State Extrapolation Systematics: Parametric vs. Nonparametric Inference of Neutron Star Structure
Nonparametric GP-based high-density extensions yield softer EOS posteriors with larger uncertainties than parametric PP extensions when jointly constrained by multi-messenger neutron star observations.
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The atomic nucleus as a bound system of $3A$ quarks
Nuclei are 3A-quark systems where Fermi gas explains equal u/d quarks in light nuclei, a modified bag model fits heavier ones, and AdS5 duality predicts the lightest glueball's decay and sets the maximum stable nuclear charge at Z=82 for lead.
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Scrutiny of the new class of three-nucleon forces
After removing renormalization-scheme-dependent short-distance parts, the scrutinized three-nucleon forces yield small contributions to neutron and symmetric nuclear matter equations of state, aligning with standard chiral EFT expectations.
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Can the strong interactions between hadrons be determined using femtoscopy?
The universality assumption in the Koonin-Pratt formula for femtoscopic correlations introduces potentially large intrinsic uncertainty when extracting strong interactions between hadrons like nucleons.