Note on description of excited hadrons with fixed angular momentum

TL;DR

This paper discusses the description of highly excited light mesons using fixed angular momentum and examines the relation between their mass squared and quantum numbers, addressing recent criticisms.

Contribution

It provides comments on the criticism of fixed angular momentum descriptions and quantifies the mass relation for light mesons.

Findings

Supports the fixed angular momentum framework for excited hadrons.

Quantifies the M^2  L + n + S/2 relation for light meson masses.

Addresses recent theoretical criticisms.

Abstract

In this Note, we make comments on the recent criticism of the description of highly excited hadrons in terms of fixed angular momentum L and quantify the relation M^2\sim L+n+S/2 (n is the radial quantum number and S is the total quark spin) for masses of light mesons.