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

TL;DR

This paper uses QCD sum rules to analyze how the masses of certain heavy mesons change in nuclear matter, providing specific mass shifts and scattering lengths for these particles.

Contribution

It presents a detailed calculation of mass modifications of vector and axial-vector heavy mesons in nuclear matter using QCD sum rules, including new quantitative results.

Findings

Mass shifts for $D^*$, $B^*$, $D_1$, $B_1$ mesons quantified.

Scattering lengths for meson-nucleon interactions determined.

Provides numerical values for meson mass modifications in nuclear matter.

Abstract

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.