Density-dependent effective baryon-baryon interaction from chiral three-baryon forces

Abstract

A density-dependent effective potential for the baryon-baryon interaction in the presence of the (hyper)nuclear medium is constructed, based on the leading (irreducible) three-baryon forces derived within SU(3) chiral effective field theory. We evaluate the contributions from three classes: contact terms, one-pion exchange and two-pion exchange. In the strangeness-zero sector we recover the known result for the in-medium nucleon-nucleon interaction. Explicit expressions for the Lambda-nucleon in-medium potential in (asymmetric) nuclear matter are presented. Our results are suitable for implementation into calculations of (hyper)nuclear matter. In order to estimate the low-energy constants of the leading three-baryon forces we introduce the decuplet baryons as explicit degrees of freedom and construct the relevant terms in the minimal non-relativistic Lagrangian. With these, the constants are estimated through decuplet saturation. Utilizing this approximation we provide numerical results for the effect of the three-body force in symmetric nuclear matter and pure neutron matter on the Lambda-nucleon interaction. A moderate repulsion that increases with density is found in comparison to the free Lambda-nucleon interaction.

25 pages, 15 figures, 4 tables

References in corpus (48)

• Modern Theory of Nuclear Forces
• Three-Nucleon Forces from Chiral Effective Field Theory
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Strangeness in nuclear physics
• Chiral three-nucleon forces and neutron matter
• Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Aspects of chiral pion-nucleon physics
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• Is nuclear matter perturbative with low-momentum interactions?
• Signatures of three-nucleon interactions in few-nucleon systems
• Estimation of the effect of hyperonic three-body forces on the maximum mass of neutron stars
• Hyperon mixing and universal many-body repulsion in neutron stars
• Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces
• Systematic 1/M Expansion for Spin 3/2 Particles
• Low-momentum interaction in few-nucleon systems
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions
• Resonance saturation for four-nucleon operators
• Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Accurate determination of the interaction between $\Lambda$ hyperons and nucleons from auxiliary field diffusion Monte Carlo calculations
• Chiral extrapolations of baryon masses for unquenched three-flavor lattice simulations
• Delta-excitations and the three-nucleon force
• Nuclear thermodynamics from chiral low-momentum interactions
• Effects of the two-body and three-body hyperon-nucleon interactions in Λ-hypernuclei
• Meson-Baryon Effective Chiral Lagrangians to O(q^3)
• Ab Initio Description of p-Shell Hypernuclei
• Hyperons in nuclear matter from SU(3) chiral effective field theory
• Nuclear and neutron matter $G$-matrix calculations with Ch-EFT potential including effects of three-nucleon interaction
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• Ab-initio calculations of charge symmetry breaking in the A=4 hypernuclei
• Leading three-baryon forces from SU(3) chiral effective field theory
• Regulator Artifacts in Uniform Matter for Chiral Interactions
• Dimensional Power Counting in Nuclei
• Hyperon-mixed neutron star with universal many-body repulsion
• A study of hyperons in nuclear matter based on chiral effective field theory
• Charge symmetry breaking in the A=4 hypernuclei
• Comparative study of hyperon-nucleon interactions of quark model and chiral effective field theory by low-momentum equivalent interactions and $G$ matrices
• Low-momentum Hyperon-Nucleon Interactions
• Scalar Lambda N and Lambda Lambda interaction in a chiral unitary approach
• Exact calculation of three-body contact interaction to second order
• Hyperon-nucleon single-particle potentials with low-momentum interactions
• Nuclear saturation in lowest-order Brueckner theory with two- and three-nucleon forces in view of chiral effective field theory

Cited by in corpus (23)

• Hyperon-nucleon interaction within chiral effective field theory revisited
• Hyperon-nucleon three-body forces and strangeness in neutron stars
• Bayesian modeling of the nuclear equation of state for neutron star tidal deformabilities and GW170817
• Lambda-nuclear interactions and hyperon puzzle in neutron stars
• Towards grounding nuclear physics in QCD
• Impact of chiral hyperonic three-body forces on neutron stars
• Functional renormalization group studies of nuclear and neutron matter
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Hyperon-nucleon interaction in chiral effective field theory at next-to-next-to-leading order
• Constraints on ${\Xi }^{-}$ nuclear interactions from capture events in emulsion
• Scattering of decuplet baryons in chiral effective field theory
• Directed flow of $\Lambda$ in high-energy heavy-ion collisions and $\Lambda$ potential in dense nuclear matter
• Single-particle potential of the $\Lambda$ hyperon in nuclear matter with chiral effective field theory NLO interactions including effects of YNN three-baryon interactions
• Density-dependent NN-interaction from subleading chiral 3N-forces: short-range terms and relativistic corrections
• Structure of single-$\Lambda$ hypernuclei with chiral hyperon-nucleon potentials
• Repulsive $\Lambda$ potentials in dense neutron star matter and binding energy of $\Lambda$ in hypernuclei
• From QCD Symmetries to Nuclei and Neutron Stars
• Dense Baryonic Matter and Strangeness in Neutron Stars
• Compatibility of recent $\Xi$-nuclear bound state signals
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Properties of hyperons in nuclear matter from chiral hyperon-nucleon interactions at next-to-next-to-leading order
• $\Xi NN$ three-baryon force from SU(3) chiral effective field theory: A femtoscopic study
• Directed flow of $\Lambda$ from heavy-ion collisions and hyperon puzzle of neutron stars