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

TL;DR

This paper uses QCD sum rules to calculate how the masses of scalar mesons D_0 and B_0 change in nuclear matter, revealing repulsive interactions and implications for charmonium decays.

Contribution

It provides the first detailed calculation of in-medium mass modifications of D_0 and B_0 mesons using QCD sum rules, including scattering lengths and interaction nature.

Findings

Mass shifts: δM_D0=69 MeV, δM_B0=217 MeV

Scattering lengths: D_0N≈1.1 fm, B_0N≈4.1 fm

Interactions are repulsive

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 $D_0N$ and $B_0N$ scattering lengths are about $1.1\,\rm{fm}$ and $4.1\,\rm{fm}$ respectively, the mass-shifts $\delta M_{D_0}=69\,\rm{MeV}$ and $\delta M_{B_0}=217\,\rm{MeV}$, and the $D_0N$ and $B_0N$ 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.