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 $D^{\ast }$, $B^{\ast }$, $D_1$ and $B_1$ in the nuclear matter with the QCD sum rules, and obtain the mass-shifts $\delta M_{D^{\ast }}=-71\mathrm{M}\mathrm{e}\mathrm{V}$, $\delta M_{B^{\ast }}=-380\mathrm{M}\mathrm{e}\mathrm{V}$, $\delta M_{D_1}=72\mathrm{M}\mathrm{e}\mathrm{V}$, $\delta M_{B_1}=264 \rm{MeV}$,andthescatteringlengths$a_{D^}=-1.07 \rm{fm}$,$a_{B^}=-7.17 \rm{fm}$,$a_{D_1}=1.15 \rm{fm}$and$a_{B_1}=5.03 \rm{fm}$ for the $D^{\ast }N$, $B^{\ast }N$, $D_{1}N$ and $B_{1}N$ interactions, respectively.