Accurate determination of the interaction between $\Lambda$ hyperons and nucleons from auxiliary field diffusion Monte Carlo calculations

Abstract

An accurate assessment of the hyperon-nucleon interaction is of great interest in view of recent observations of very massive neutron stars. The challenge is to build a realistic interaction that can be used over a wide range of masses and in infinite matter starting from the available experimental data on the binding energy of light hypernuclei. To this end, accurate calculations of the hyperon binding energy in a hypernucleus are necessary. We present a quantum Monte Carlo study of $\Lambda$ and $\Lambda \Lambda$ hypernuclei up to $A=91$. We investigate the contribution of two- and three-body $\Lambda$-nucleon forces to the $\Lambda$ binding energy. Ground state energies are computed solving the Schrödinger equation for non-relativistic baryons by means of the auxiliary field diffusion Monte Carlo algorithm extended to the hypernuclear sector. We show that a simple adjustment of the parameters of the $\Lambda NN$ three-body force yields a very good agreement with available experimental data over a wide range of hypernuclear masses. In some cases no experiments have been performed yet, and we give new predictions. The newly fitted $\Lambda NN$ force properly describes the physics of medium-heavy $\Lambda$ hypernuclei, correctly reproducing the saturation property of the hyperon separation energy.

12 pages, 4 figures, 6 tables

References in corpus (6)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Cold neutrons trapped in external fields
• Auxiliary Field Diffusion Monte Carlo calculation of nuclei with A<40 with tensor interactions
• Behaviour of the $\Lambda N$ and $\Lambda NN$ potential strengths in the ${}_{\Lambda }^5$He hypernucleus

Cited by in corpus (61)

• Equations of state for supernovae and compact stars
• Quantum Monte Carlo methods for nuclear physics
• Strangeness in nuclear physics
• Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
• Neutron Stars and the Nuclear Equation of State
• Do hyperons exist in the interior of neutron stars ?
• Neutron Matter from Low to High Density
• (No) neutron star maximum mass constraint from hypernuclei
• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• Ab Initio Description of p-Shell Hypernuclei
• Towards grounding nuclear physics in QCD
• Hyperons in nuclear matter from SU(3) chiral effective field theory
• Impact of chiral hyperonic three-body forces on neutron stars
• Dense baryonic matter: constraints from recent neutron star observations
• Relativistic Mean-Field Models with Scaled Hadron Masses and Couplings: Hyperons and Maximum Neutron Star Mass
• Leading three-baryon forces from SU(3) chiral effective field theory
• Hyperons: the strange ingredients of the nuclear equation of state
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Light Neutron-Rich Hypernuclei from the Importance-Truncated No-Core Shell Model
• The Hyperon Puzzle in Neutron Stars
• Induced Hyperon-Nucleon-Nucleon Interactions and the Hyperon Puzzle
• Strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory
• Density-dependent effective baryon-baryon interaction from chiral three-baryon forces
• Thermodynamics of Neutrons in a Magnetic Field and its Implications for Neutron Stars
• Hypernuclear No-Core Shell Model
• Resolving the $\Lambda$ hypernuclear overbinding problem in pionless effective field theory
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• Strangeness $S=-2$ baryon-baryon interactions and femtoscopic correlation functions in covariant chiral effective field theory
• Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
• Hyperons in Neutron Stars
• Examination of strangeness instabilities and effects of strange meson couplings in dense strange hadronic matter and compact stars
• Hybrid star structure with the Field Correlator Method
• Effects of hyperonic many-body force on $B_{\Lambda }$ values of hypernuclei
• Constraints from $\Lambda$ hypernuclei on the $\Lambda NN$ content of the $\Lambda$-nucleus potential
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• Nuclear physics uncertainties in light hypernuclei
• Structure of single-$\Lambda$ hypernuclei with chiral hyperon-nucleon potentials
• Single-particle spectral function of the $\Lambda$ hyperon in finite nuclei
• Liquid-gas phase transition in strange hadronic matter with relativistic models
• Quark matter contribution to the heat capacity of magnetized neutron stars
• The $p\Lambda$ and $pp\Lambda$ correlation functions
• ${\Sigma }^{-}p$ emission rates in $K^{-}$ absorptions at rest on ${}^6$Li, ${}^7$Li, ${}^9$Be, ${}^{13}$C and ${}^{16}$O
• Constraining Palatini gravity with GR-independent equations of state for neutron stars
• Recalibration of the binding energy of hypernuclei measured in emulsion experiments and its implications
• Benchmark Results for Few-Body Hypernuclei
• From hypernuclei to the Inner Core of Neutron Stars: A Quantum Monte Carlo Study
• The impact of hyperons on neutron star mergers: gravitational waves, mass ejection and black hole formation
• Transport coefficients of hyperonic neutron star cores
• Impact of QCD sum rules coupling constants on neutron stars structure
• Detecting Hyperons in neutron stars -- a machine learning approach
• B${}_{\Lambda }$(${}_{\Lambda }^5$He) from short range effective field theory
• $D^{\ast }$ $\Xi N$ bound state in strange three-body systems
• Next-to-leading order effective field theory $\Lambda N\to NN$ potential in coordinate space
• Effect of a realistic three-body force on the spectra of medium-mass hypernuclei
• $\Lambda NN$ content of $\Lambda$-nucleus potential
• Machine learning the single-$\Lambda$ hypernuclei with neural-network quantum states
• The EOS of neutron matter and the effect of $\Lambda$ hyperons to neutron star structure
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory
• Old and New in Strangeness Nuclear Physics
• Ab initio calculations for non-strange and strange few-baryon systems
• Strangeness in nuclei and neutron stars: a challenging puzzle