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Table A.1.

Empirical constraints from experimental and observational data.

Symmetric matter
Constraints n (fm−3) PSNM (MeV/fm3) Ref.
HIC(DLL) 0.32 10.1 ± 3.0 Danielewicz et al. (2002)
HIC(FOPI) 0.32 10.3 ± 2.8 Le Fèvre et al. (2016)

Asymmetric matter
Constraints n (fm−3) esym (MeV) Psym (MeV/fm3) Ref.

Nuclear structure
αD 0.05 15.9 ± 1.0 Zhang & Chen (2015)
PREX-II 0.11 2.38 ± 0.75 Adhikari et al. (2021), Reed et al. (2021), Lynch & Tsang (2022)
Nuclear masses
Mass(Skyrme) 0.101 24.7 ± 0.8 Brown & Schwenk (2014), Lynch & Tsang (2022)
Mass(DFT) 0.115 25.4 ± 1.1 Kortelainen et al. (2012), Lynch & Tsang (2022)
IAS 0.106 25.5 ± 1.1 Danielewicz et al. (2017), Lynch & Tsang (2022)
Heavy-ion collisions
HIC(Isodiff) 0.035 10.3 ± 1.0 Tsang et al. (2009), Lynch & Tsang (2022)
HIC(n/p ratio) 0.069 16.8 ± 1.2 Morfouace et al. (2019), Lynch & Tsang (2022)
HIC(π) 0.232 52 ± 13 10.9 ± 8.7 Estee et al. (2021), Lynch & Tsang (2022)
HIC(n/p flow) 0.240 12.1 ± 8.4 Cozma (2018), Russotto et al. (2011, 2016), Lynch & Tsang (2022)

Astrophysical
Constraints M R (km) Λ1.36 Ref.

LIGO 1 1.36 300 230 + 420 $ 300_{-230}^{+420} $ Abbott et al. (2019)
Riley PSR J0030+0451 2 1.34 12 . 71 1.19 + 1.14 $ 12.71^{+1.14}_{-1.19} $ Riley et al. (2019)
Miller PSR J0030+0451 3 1.44 13 . 02 1.06 + 1.24 $ 13.02^{+1.24}_{-1.06} $ Miller et al. (2019)
Riley PSR J0740+6620 4 2.07 12.39 0.98 + 1.30 $ ^{+1.30}_{-0.98} $ Riley et al. (2021)
Miller PSR J0740+6620 5 2.08 13.7 1.5 + 2.6 $ 13.7~^{+2.6}_{-1.5} $ Miller et al. (2021)
Choudhury PSR J0437-4715 6 1.418 11.36 0.63 + 0.95 $ 11.36~^{+0.95}_{-0.63} $ Choudhury et al. (2024)

Notes. This table presents empirical values of symmetry energy (esym), symmetry energy pressure (Psym), and symmetric nuclear matter pressure (PSNM) from experimental data on the bulk properties of finite nuclei and HIC. The astrophysical observational constraints on the radii and tidal deformability of neutron stars are also included. See Ref Tsang et al. (2024) for details.

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