Cornell potential in generalized Soft Wall holographic model

TL;DR

This paper derives a Cornell-like confinement potential within a generalized Soft Wall holographic model, highlighting the importance of the scalar sector and its consistency with phenomenology and lattice data, and suggesting a glueball nature for a scalar meson.

Contribution

It introduces a parameter controlling the Regge spectrum intercept in the holographic model, providing a more accurate confinement potential analysis.

Findings

Scalar channel potential aligns with phenomenology and lattice data.

Vector channel potential is only qualitatively consistent.

Supports the glueball interpretation of the scalar meson $f_0(1500)$.

Abstract

We derive and analyze the confinement potential of the Cornell type within the framework of the generalized Soft Wall holographic model that includes a parameter controlling the intercept of the linear Regge spectrum. In the phenomenology of Regge trajectories, this parameter is very important for the quantitative description of experimental data. Our analysis shows that the ''linear plus Coulomb'' confinement potential obtained in the scalar channel is quantitatively consistent with the phenomenology and lattice simulations while the agreement in the vector channel is qualitative only. This result indicates the key role of the vacuum scalar sector in the formation of the confinement potential. As a by-product the overall consistency of our holographic description of confinement potential seems to confirm the glueball nature of the scalar meson $f_0(1500)$.