Abstract
Since the massive neutron stars (NSs) were detected, NSs have received more extensive attention and research. The discoveries of pulsars PSR J0348-0432 and MSP J0740 $$+$$ 6620 confirm the existence of massive NS and therefore present a strict limit to the equation of state (EoS) of nuclear matter, but the appearance of hyperons will soften the EoS. In order to get a stiff EoS and solve the hyperon puzzle, in this paper we firstly study the effects of the saturation properties of nuclear matter on the mass of NS and then in turn, constrain the saturation properties of nuclear matter by the observed mass of massive NSs with SU(6) symmetry. The study shows that based on the SU(6) symmetry, it is almost impossible to obtain a stiff enough EoS to support the maximum mass of a NS up to 2.0 $$M_{\odot }$$ within the range of empirical value of saturation properties of nuclear matter.
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