Examination of the influence of the f₀(975) and ϕ(1020) mesons on the surface gravitional redshift of the neutron star PSR J0348+0432

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The effect of the mesons f₀(975) and ϕ(1020) on the surface gravitional redshift of the neutron star PSR J0348+0432 is examined in the framework of the relativistic mean field theory by choosing the suitable hyperon coupling constants. We find that compared with that without considering the mesons f₀(975) and ϕ(1020), the value range of the radius R of the neutron star PSR J0348+0432 would be changed from a narrow range 12.964 km 12.364 km to a wider range 12.941 km 11.907 km corresponding to the observation mass M=1.97 M 2.05 M. We also find that the value range of the surface gravitational redshift z of the neutron star PSR J0348+0432 changes from 0.3469 0.3997 to 0.3480 0.4263 corresponding to the observation mass M=1.97 M 2.05 M as the mesons f₀(975) and ϕ(1020) being considered. These mean the radius R and the surface gravitational redshift z all will be constrained in a wider scope as the mesons f₀(975) and ϕ(1020) being considered. We also can see that the difference of the radius and the surface gravitational redshift is not so large whether the mesons f₀(975) and ϕ(1020) being considered or not. This indicates that the mesons f₀(975) and ϕ(1020) do not play a major role in the massive neutron star PSR J0348+0432.