$J/\psi$ production in jets in p+p collisions at $\sqrt{s}$ = 500 GeV by STAR

<!--HTML-->The suppression of $J/\psi$ production caused by the color-screening effect in heavy-ion collisions is considered as an evidence of the creation of quark-gluon plasma. To interpret the observed suppression in heavy-ion collisions, a good understanding of its production mechanism in p+p collisions is needed. However, the production of $J/\psi$ in hadronic collisions remains not fully understood and requires further studies. Recently, $J/\psi$ production in jets was proposed as a useful observable to help explore the $J/\psi$ production mechanism, and to differentiate various $J/\psi$ production models. In this talk, we will present the measurement of the fraction of charged jet transverse momentum ($p_{T}$) carried by the $J/\psi$ meson, z($J/\psi$) $\equiv$ $p_{T}(J/\psi)$/$p_{T}(jet)$, at mid-pseudorapidity ($|\eta|<1$) with a kinematic cut of $p_{T}(J/\psi)>$5 GeV/c in p+p collisions at $\sqrt{s}$ = 500 GeV by the STAR experiment. The comparison to model calculations and similar measurements carried out at the LHC will be presented, and its physics implications will be discussed.