P Wave Meson Spectrum in a Relativistic Model with Instanton Induced Interaction

TL;DR

This paper calculates the masses of P wave mesons using a relativistic harmonic model that includes confinement, one gluon exchange, and instanton-induced interactions, achieving good agreement with experimental data.

Contribution

It introduces a comprehensive relativistic model incorporating instanton effects to accurately predict P wave meson masses, highlighting the roles of different interactions.

Findings

Accurate meson mass predictions matching experimental data

Demonstration of the significance of instanton-induced interactions

Analysis of the roles of OGEP and III in meson mass determination

Abstract

On the basis of the phenomenological relativistic harmonic models for quarks we have obtained the masses of P wave mesons. The full Hamiltonian used in the investigation has Lorentz scalar + vector confinement potential, along with one gluon exchange potential (OGEP) and the instanton-induced quark-antiquark interaction (III). A good agreement is obtained with the experimental masses. The respective role of III and OGEP for the determination of the meson masses is discussed.