Embedding short-range correlations in relativistic density functionals through quasi-deuterons

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.

28 pages, 12 figures

References in corpus (24)

• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Probing Cold Dense Nuclear Matter
• Constraints on the high-density nuclear equation of state from the phenomenology of compact stars and heavy-ion collisions
• Momentum sharing in imbalanced Fermi systems
• 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
• Modified Structure of Protons and Neutrons in Correlated Pairs
• Light nuclei quasiparticle energy shift in hot and dense nuclear matter
• Neutron skin thickness of heavy nuclei with $\alpha$-particle correlations and the slope of the nuclear symmetry energy
• Isovector properties of the Gogny interaction
• Statistical description of complex nuclear phases in supernovae and proto-neutron stars
• Imprints of high-momentum nucleons in nuclei on hard photons from heavy-ion collisions around the Fermi Energy
• Full distribution of clusters with universal couplings and in-medium effects
• Description of light clusters in relativistic nuclear models
• Nuclear energy density functionals grounded in ab initio calculations
• 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
• 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
• Finite-temperature infinite matter with effective-field-theory-inspired energy-density functionals

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• Equation of State of Neutron-Rich Matter in $d$-Dimensions
• Employing ternary fission of ${}^{242}$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