Analysis of mass modifications of the vector and axial-vector heavy mesons in the nuclear matter with the QCD sum rules

In this article, we calculate the mass modifications of the vector and axial-vector mesons $D^*$, $B^*$, $D_1$ and $B_1$ in the nuclear matter with the QCD sum rules, and obtain the mass-shifts $\delta M_{D^*}=-71 \rm{MeV}$, $\delta M_{B^*}=-380 \rm{MeV}$, $\delta M_{D_1}=72 \rm{MeV}$, $\delta M_{B_1}=264 \rm{MeV}$, and the scattering lengths $a_{D^*}=-1.07 \rm{fm}$, $a_{B^*}=-7.17 \rm{fm}$, $a_{D_1}=1.15 \rm{fm}$ and $a_{B_1}=5.03 \rm{fm}$ for the $D^*N$, $B^*N$, $D_1N$ and $B_1N$ interactions, respectively.