Baryonium in Confining Gauge Theories

TL;DR

This paper introduces a novel D5 brane embedding solution in AdS${}_5\times S^5$ that models baryonium as a D5-$\bar{D5}$ bound state with opposite flux orientations, offering a new perspective on baryon-antibaryon configurations.

Contribution

The authors propose a new D5 brane solution with two cusps on opposite poles of $S^5$, representing a baryonium vertex, different from traditional baryon vertices.

Findings

The solution forms a D5-$\bar{D5}$ bound state with opposite flux orientations.

It provides a framework to construct realistic baryonium states by attaching quarks and anti-quarks.

The configuration suggests a new class of baryon-antibaryon bound states in confining gauge theories.

Abstract

We show a new class of embedding solutions of D5 brane, which wraps on $S^5$ in the AdS${}_5\times S^5$ space-time and contains fundamental strings as U(1) flux to form a baryon vertex. The new solution given here is different from the baryon vertex since it consists of two same side (north or south) poles of $S^5$ as cusps, which are put on different points in our three dimensional space. This implies that the same magnitude of electric displacement exists at each cusp, but their orientations are opposite due to the flux number conservation. This configuration is therefore regarded as a D5-$\bar{D5}$ bound state, and we propose this as the vertex of a baryonium state, which is made of a baryon and an anti-baryon. By attaching quarks and anti-quarks to the two cusps of this vertex, it is possible to construct a realistic baryonium.