  The effect of the mesons $f_{0}(975)$ and $\phi(1020)$ 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 $f_{0}(975)$ and $\phi(1020)$, the value range of the radius $R$ of
the neutron star PSR J0348+0432 would be changed from a narrow range 12.964 km
$\sim$ 12.364 km to a wider range 12.941 km $\sim$ 11.907 km corresponding to
the observation mass M=1.97 M$_{\odot}$$\sim$2.05 M$_{\odot}$. We also find
that the value range of the surface gravitational redshift $z$ of the neutron
star PSR J0348+0432 changes from 0.3469 $\sim$ 0.3997 to 0.3480 $\sim$ 0.4263
corresponding to the observation mass M=1.97 M$_{\odot}$$\sim$2.05 M$_{\odot}$
as the mesons $f_{0}(975)$ and $\phi(1020)$ being considered. These mean the
radius $R$ and the surface gravitational redshift $z$ all will be constrained
in a wider scope as the mesons $f_{0}(975)$ and $\phi(1020)$ being considered.
We also can see that the difference of the radius and the surface gravitational
redshift is not so large whether the mesons $f_{0}(975)$ and $\phi(1020)$ being
considered or not. This indicates that the mesons $f_{0}(975)$ and $\phi(1020)$
do not play a major role in the massive neutron star PSR J0348+0432.
