Semileptonic $B \rightarrow \bar{D} $ transition in nuclear medium

TL;DR

This paper investigates how the nuclear medium affects the semileptonic B to D transition, revealing significant suppression in decay probability due to medium interactions using QCD sum rules.

Contribution

It provides the first calculation of in-medium form factors for B to D transitions, highlighting medium effects on decay processes.

Findings

In-medium form factors are significantly altered.

Branching ratio is suppressed in nuclear medium.

Medium interactions impact decay dynamics.

Abstract

We study the semileptonic tree-level $B \rightarrow \bar{D}$ transition in the framework of QCD sum rules in nuclear medium. In particular, we calculate the in-medium form factors entering the transition matrix elements defining this decay channel. It is found that the interactions of the participating particles with the medium lead to a considerable suppression in the branching ratio compared to the vacuum.