Massive neutron stars and $\mathrm{\Lambda }$-hypernuclei in relativistic mean field models

Based on relativistic mean field (RMF) models, we study finite $\mathrm{\Lambda }$-hypernuclei and massive neutron stars. The effective $N$-$N$ interactions PK1 and TM1 are adopted, while the $N$-$\mathrm{\Lambda }$ interactions are constrained by reproducing the binding energy of $\mathrm{\Lambda }$-hyperon at $1s$ orbit of ${}_{\mathrm{\Lambda }}^{40}$Ca. It is found that the $\mathrm{\Lambda }$-meson couplings follow a simple relation, indicating a fixed $\mathrm{\Lambda }$ potential well for symmetric nuclear matter at saturation densities, i.e., around $V_{\Lambda} = -29.786$MeV\mathrm{.}Withthoseinteractions,alargemassrangeof$\Lambda$-hypernuclei can be well described. Furthermore, the masses of PSR J1614-2230 and PSR J0348+0432 can be attained adopting the $\mathrm{\Lambda }$-meson couplings $g_{\sigma \mathrm{\Lambda }}\mathrm{/}{g}_{\sigma N}\gtrsim 0.73$, $g_{\omega \mathrm{\Lambda }}\mathrm{/}{g}_{\omega N}\gtrsim 0.80$ for PK1 and $g_{\sigma \mathrm{\Lambda }}\mathrm{/}{g}_{\sigma N}\gtrsim 0.81$, $g_{\omega\Lambda}/g_{\omega N}\gtrsim 0.90$ for TM1, respectively. This resolves the Hyperon Puzzle without introducing any additional degrees of freedom.