In-medium mass modifications of the $D_0$ and $B_0$ mesons with the QCD sum rules

Abstract

In this article, we calculate the in-medium mass modifications of the scalar mesons $D_0$ and $B_0$ using the QCD sum rules. In calculations, we observe that the $D_{0}N$ and $B_{0}N$ scattering lengths are about $1.1\mathrm{fm}$ and $4.1\mathrm{fm}$ respectively, the mass-shifts $\delta M_{D_0}=69\mathrm{MeV}$ and $\delta M_{B_0}=217\mathrm{MeV}$, and the $D_{0}N$ and $B_{0}N$ interactions are repulsive. The positive mass-shifts indicate that the decays of the higher charmonium states into the $D_0{\bar{D}}_0$ pair are suppressed.

Comments: 7 pages, 2 figures, minor revision