Scalar-isoscalar states, gravitational form factors, and dimension-2 condensates in a large-Nc Regge approach

TL;DR

This paper investigates scalar-isoscalar states using a large-Nc Regge model, confirming their properties through gravitational form factors and lattice data, and explores the nature of f0(600) and f0(980) as meson and glueball states.

Contribution

It introduces a Regge-based framework for scalar-isoscalar states, matching experimental and lattice data, and discusses the nature of these states and the dimension-2 condensate.

Findings

f0(600) fits well into the Regge trajectory

Mass values agree with lattice measurements of gravitational form factors

f0(600) is likely a meson, while f0(980) is a glueball

Abstract

Scalar-isoscalar states are analyzed within the large-Nc Regge approach. We find that the lightest f0(600) scalar-isoscalar state fits very well into the pattern of the radial Regge trajectory. We confirm the obtained mass values from an analysis of the pion and nucleon spin-0 gravitational form factors, recently measured on the lattice. We find that a simple two-state model suggests a meson nature of f0(600), and a glueball nature of f0(980), which naturally explains the ratios of various coupling constants. Finally, matching to the OPE requires a fine-tuned mass condition of the vanishing dimension-2 condensate in the Regge approach with infinitely many scalar-isoscalar states.