Effect of the mesons on the baryons distribution in the massive NS PSR J0348+0432

Abstract

Effect of the mesons $f_{0}(975)$ and $\phi (1020)$ on the baryons distribution in the massive neutron star PSR J0348+0432 is examined in the framework of the relativistic mean field theory. It is found that the value range of the central baryon number density increases compared with that without considering the mesons $f_{0}(975)$ and $\phi (1020)$ under the restriction of the observation mass of the massive neutron star PSR J0348+0432. It is also found that the relative particle number density of neutrons decreases and in the center of the neutron star its value range also decreases as the mesons $f_{0}(975)$ and $\phi (1020)$ being considered. This means that there will be more neutrons changing into other baryons considering the mesons $f_{0}(975)$ and $\phi (1020)$ . But the effect of the mesons $f_{0}(975)$ and $\phi (1020)$ on the relative particle number density of protons is very small. The relative particle number density of hyperon $\varLambda $ and $\varXi ^{-}$ all increase compared with that without considering the mesons $f_{0}(975)$ and $\phi (1020)$ . At the neutron star center, the value range of them all increase compared with that without considering the mesons $f_{0}(975)$ and $\phi (1020)$ by the observation mass of the massive neutron star PSR J0348+0432 $M=1.97\mbox{--}2.05~\mathrm{M}_{\odot }$ . Our calculations also show that the hyperons $\varSigma ^{-}$ , $\varSigma ^{0}$ , $\varSigma ^{+}$ and $\varXi ^{0}$ are not produced.