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.
Categories: hep-ph