More about the $B$ and $D$ mesons in nuclear matter

TL;DR

This paper investigates how the decay constants and masses of $B$ and $D$ mesons change in nuclear matter using QCD sum rules, providing numerical estimates and comparisons with previous studies.

Contribution

It introduces a method to calculate the shifts in decay constants and masses of $B$ and $D$ mesons in nuclear matter via QCD sum rules, incorporating scattering lengths and phenomenological parameters.

Findings

Calculated shifts in decay constants of $B$ and $D$ mesons in nuclear medium.

Derived QCD sum rules for scattering lengths and phenomenological parameters.

Estimated mass shifts of $B$ and $D$ mesons in nuclear matter.

Abstract

We calculate the shifts in decay constants of the pseudoscalar $B$ and $D$ mesons in nuclear medium in the frame work of QCD sum rules. We write those shifts in terms of the $B-N$ and $D-N$ scattering lengths and an extra phenomenological parameter entered to calculations. Computing an appreciate forward scattering correlation function, we derive the QCD sum rules for the $B-N$ and $D-N$ scattering lengths and the extra phenomenological parameter in terms of various operators in nuclear medium. We numerically find the values of the shifts in the decay constants compared to their vacuum values. Using the sum rules obtained, we also determine the shifts in the masses of these particles due to nuclear matter and compare the results obtained with the previous predictions in the literature.