We construct the equation of state ( EOS ) of dense matter covering a wide range of temperature , proton fraction , and density for the use of core-collapse supernova simulations .
The study is based on the relativistic mean-field ( RMF ) theory , which can provide an excellent description of nuclear matter and finite nuclei .
The Thomas–Fermi approximation in combination with assumed nucleon distribution functions and a free energy minimization is adopted to describe the non-uniform matter , which is composed of a lattice of heavy nuclei .
We treat the uniform matter and non-uniform matter consistently using the same RMF theory .
We present two sets of EOS tables , namely EOS2 and EOS3 .
EOS2 is an update of our earlier work published in 1998 ( EOS1 ) , where only the nucleon degree of freedom is taken into account .
EOS3 includes additional contributions from \Lambda hyperons .
The effect of \Lambda hyperons on the EOS is negligible in the low-temperature and low-density region , whereas it tends to soften the EOS at high density .
In comparison with EOS1 , EOS2 and EOS3 have an improved design of ranges and grids , which covers the temperature range T = 0.1 – 10 ^ { 2.6 } MeV with the logarithmic grid spacing \Delta \log _ { 10 } ( T / [ MeV ] ) = 0.04 ( 92 points including T = 0 ) , the proton fraction range Y _ { p } = 0 – 0.65 with the linear grid spacing \Delta Y _ { p } = 0.01 ( 66 points ) , and the density range \rho _ { B } = 10 ^ { 5.1 } – 10 ^ { 16 } { g cm ^ { -3 } } with the logarithmic grid spacing \Delta \log _ { 10 } ( \rho _ { B } / { [ g cm ^ { -3 } ] } ) = 0.1 ( 110 points ) .