Chiral corrections to the $1^{-+}$ exotic meson mass

Abstract

We first construct the effective chiral Lagrangians for the $1^{-+}$ exotic mesons. With the infrared regularization scheme, we derive the one-loop infrared singular chiral corrections to the ${\pi }_1(1600)$ mass explicitly. We investigate the variation of the different chiral corrections with the pion mass under two schemes. Hopefully, the explicit non-analytical chiral structures will be helpful to the chiral extrapolation of the lattice data from the dynamical lattice QCD simulation of either the exotic light hybrid meson or tetraquark state.

15 pages, 5 figures, references added, revised. Version to be published in Chinese Physics C

References in corpus (11)

• The hidden-charm pentaquark and tetraquark states
• Toward the excited meson spectrum of dynamical QCD
• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• New Hadron States
• Infrared regularization for spin-1 fields
• Confirmation of a pi_1^0 Exotic Meson in the ηπ^0 System
• The I^G J^{PC}=1^- 1^{-+} Tetraquark States
• The I^G J^{PC}=0^+ 1^{-+} Tetraquark State
• Mixed Heavy Quark Hybrid Mesons, Decay Puzzles, and RHIC
• Chiral corrections to the Roper mass
• The Strong Decay Patterns of the $1^{-+}$ Exotic Hybrid Mesons