Embedding short-range correlations in relativistic density functionals through quasi-deuterons
arXiv:2203.14635 · doi:10.1140/epja/s10050-022-00765-z
Abstract
The formation of clusters at sub-saturation densities constitutes an essential feature for a reliable modelization of the nuclear matter equation of state (EoS). Phenomenological models that make use of energy density functionals (EDFs) offer a convenient approach to account for the presence of these bound states of nucleons when introduced as additional degrees of freedom. However, in these models clusters dissolve, by construction, when the nuclear saturation density is approached from below, revealing inconsistencies with recent findings that evidence the existence of short-range correlations (SRCs) even at larger densities. In this work, within the EDF framework, a novel approach is proposed to embed SRCs within a relativistic mean-field model with density dependent couplings. This is realized through the introduction of suitable in-medium modifications of the cluster binding energy shifts, which are responsible for describing the cluster dissolution. As a first exploratory step, the example of a quasi-deuteron within the generalized relativistic density functional approach is investigated. For the first time, suitable parameterizations of the cluster mass shift at zero temperature are derived for all baryon densities. They are constrained by experimental results for the effective deuteron fraction in nuclear matter near saturation and by microscopic many-body calculations in the low-density limit. The strength of the deuteron-meson couplings is assessed to be of crucial importance. The findings of the present study represent a first step to improve the description of nuclear matter and its EoS at supra-saturation densities in EDFs by considering correlations in an effective way. Novel effects on some thermodynamic quantities, such as the matter incompressibility, the symmetry energy and its slope, are finally discerned and discussed.
arXiv comment28 pages, 12 figures
References in corpus (67)
- The equation of state for nucleon matter and neutron star structure
- GW170817: Measurements of Neutron Star Radii and Equation of State
- Modern Theory of Nuclear Forces
- Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
- Equations of state for supernovae and compact stars
- Composition and thermodynamics of nuclear matter with light clusters
- Quantum Monte Carlo methods for nuclear physics
- Skyrme Interaction and Nuclear Matter Constraints
- Statistical Model for a Complete Supernova Equation of State
- The Equation of State of Hot, Dense Matter and Neutron Stars
- Transport-theoretical Description of Nuclear Reactions
- Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
- Nuclear effective field theory: status and perspectives
- Probing Cold Dense Nuclear Matter
- Constraints on the high-density nuclear equation of state from the phenomenology of compact stars and heavy-ion collisions
- Nucleon-Nucleon Correlations, Short-lived Excitations, and the Quarks Within
- Momentum sharing in imbalanced Fermi systems
- New Equations of State in Simulations of Core-Collapse Supernovae
- Measurement of 2- and 3-Nucleon Short Range Correlation Probabilities in Nuclei
- Results of the ASY-EOS experiment at GSI: The symmetry energy at suprasaturation density
- Short Range Correlations and the EMC Effect
- Progress in Constraining Nuclear Symmetry Energy Using Neutron Star Observables Since GW170817
- Incompressibility in finite nuclei and nuclear matter
- Nucleon Effective Masses in Neutron-Rich Matter
- New measurements of high-momentum nucleons and short-range structures in nuclei
- A New Equation of State for Astrophysical Simulations
- Modified Structure of Protons and Neutrons in Correlated Pairs
- Hard probes of short-range nucleon-nucleon correlations
- Light nuclei quasiparticle energy shift in hot and dense nuclear matter
- Direct Observation of Proton-Neutron Short-Range Correlation Dominance in Heavy Nuclei
- Density and isospin asymmetry dependence of high-momentum components
- Neutron skin thickness of heavy nuclei with -particle correlations and the slope of the nuclear symmetry energy
- Laboratory Tests of Low Density Astrophysical Equations of State
- Isovector properties of the Gogny interaction
- Parametrization of light nuclei quasiparticle energy shifts and composition of warm and dense nuclear matter
- Statistical description of complex nuclear phases in supernovae and proto-neutron stars
- Symmetry energy of cold nucleonic matter within a relativistic mean field model encapsulating effects of high momentum nucleons induced by short-range correlations
- Nuclear matter equation of state including few-nucleon correlations
- The statistical multifragmentation model for liquid-gas phase transition with a compressible nuclear liquid
- Influence of short-range correlations in neutrino-nucleus scattering
- Effects of the liquid-gas phase transition and cluster formation on the symmetry energy
- Light clusters in nuclear matter: Excluded volume versus quantum many-body approaches
- Connecting the nuclear EoS to the interplay between fusion and quasifission processes in low-energy nuclear reactions
- Effective density functionals beyond mean field
- Imprints of high-momentum nucleons in nuclei on hard photons from heavy-ion collisions around the Fermi Energy
- Light clusters in warm stellar matter: explicit mass shifts and universal cluster-meson couplings
- From dilute matter to the equilibrium point in the energy--density--functional theory
- Turning the nuclear energy density functional method into a proper effective field theory: reflections
- Full distribution of clusters with universal couplings and in-medium effects
- Parametrisations of relativistic energy density functionals with tensor couplings
- Description of light clusters in relativistic nuclear models
- Equilibrium constants of Hydrogen and Helium isotopes at low nuclear densities
- Dipole response in neutron-rich nuclei with new Skyrme interactions
- A Lee-Yang--inspired functional with a density--dependent neutron-neutron scattering length
- Nuclear energy density functionals grounded in ab initio calculations
- Interplay between low-lying isoscalar and isovector dipole modes: a comparative analysis between semi-classical and quantum approaches
- Nucleon momentum distributions in asymmetric nuclear matter
- Nuclear Structure at the Crossroads
- Improved method for the experimental determination of in-medium effects from heavy-ion collisions
- Light clusters in warm stellar matter: calibrating the cluster couplings
- Pre-equilibrium effects in charge-asymmetric low-energy reactions
- Pairing effects on neutrino transport in low-density stellar matter
- Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
- Application of an ab-initio-inspired energy density functional to nuclei: impact of the effective mass and the slope of the symmetry energy on bulk and surface properties
- Towards a power counting in nuclear energy-density-functional theories through a perturbative analysis
- Pairing effects on spinodal decomposition of asymmetric nuclear matter
- Finite-temperature infinite matter with effective-field-theory-inspired energy-density functionals
Cited by in corpus (8)
- Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
- Deuteron yields from LHC: Continuum correlations and in-medium effects
- Equation of State of Neutron-Rich Matter in -Dimensions
- Employing ternary fission of Pu as a probe of very neutron rich matter
- Dynamics of dilute nuclear matter with light clusters and in-medium effects
- Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
- Phase-space excluded-volume approach for light clusters in nuclear medium
- Alpha clustering in warm and dense nuclear matter from heavy-ion collisions