Curvature-slope correlation of nuclear symmetry energy and its imprints on the crust-core transition, radius, and tidal deformability of canonical neutron stars

Li, Bao-An; Magno, Macon

doi:10.1103/physrevc.102.045807

Curvature-slope correlation of nuclear symmetry energy and its imprints on the crust-core transition, radius, and tidal deformability of canonical neutron stars

Journal Article · Fri Oct 16 00:00:00 EDT 2020 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.102.045807· OSTI ID:1837896

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Texas A & M Univ., Commerce, TX (United States); Texas A&M University-Commerce
Texas A & M Univ., Commerce, TX (United States)

Background: The nuclear symmetry energy E_sym(ρ) encodes information about the energy necessary to make nuclear systems more neutron-rich. While its slope parameter L at the saturation density ρ₀ of nuclear matter has been relatively well constrained by recent astrophysical observations and terrestrial nuclear experiments, its curvature K_sym characterizing the E_sym(ρ) around 2ρ₀ remains largely unconstrained. Over 520 calculations for E_sym(ρ) using various nuclear theories and interactions in the literature have predicted several significantly different K_sym–L correlations. Purpose: If a unique K_sym–L correlation of E_sym(ρ) can be firmly established, it will enable us to progressively better constrain the high-density behavior of E_sym(ρ) using the available constraints on its slope parameter L. Here, we investigate if and by how much the different K_sym–L correlations may affect neutron star observables. Method: A meta-model of nuclear Equation of States (EOSs) with three representative K_sym–L correlation functions is used to generate multiple EOSs for neutron stars. We then examine effects of the K_sym–L correlation on the crust-core transition density and pressure as well as the radius and tidal deformation of canonical neutron stars. Results: The K_sym–L correlation affects significantly both the crust-core transition density and pressure. It also has strong imprints on the radius and tidal deformability of canonical neutron stars especially at small L values. The available data from LIGO/VIRGO and NICER set some useful limits for the slope L but can not distinguish the three representative K_sym–L correlations considered.

View Accepted Manuscript (DOE)

Research Organization:: Texas A & M Univ., Commerce, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009971; SC0013702

OSTI ID:: 1837896

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 4 Vol. 102; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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