Hybrid mesons and auxiliary fields

Abstract

Hybrid mesons are exotic mesons in which the color field is not in the ground state. Their understanding deserves interest from a theoretical point of view, because it is intimately related to nonperturbative aspects of QCD. Moreover, it seems that some recently detected particles, such as the ${\pi }_1(1600)$ and the Y(4260), are serious hybrid candidates. In this work, we investigate the description of such exotic hadrons by applying the auxiliary fields technique to the widely used spinless Salpeter Hamiltonian with appropriate linear confinement. Instead of the usual numerical resolution, this technique allows to find simplified analytical mass spectra and wave functions of the Hamiltonian, which still lead to reliable qualitative predictions. We analyse and compare two different descriptions of hybrid mesons, namely a two-body $q\bar{q}$ system with an excited flux tube, or a three-body $q\bar{q}g$ system. We also compute the masses of the $1^{-+}$ hybrids. Our results are shown to be in satisfactory agreement with lattice QCD and other effective models.

19 pages, 4 figures

References in corpus (20)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a Broad Structure in the ${\pi }^{+}{\pi }^{-}J/\psi$ Mass Spectrum around 4.26 GeV/$c^2$
• Fine Structure of the QCD String Spectrum
• Gluonic charmonium resonances at BaBar and Belle?
• Nonperturbative corrections to the quark self-energy
• Lattice calculation of $1^{-+}$ hybrid mesons with improved Kogut-Susskind fermions
• $1^{-+}$ exotic meson at light quark masses
• Gluonic excitation of non-exotic hybrid charmonium from lattice QCD
• Auxiliary fields and hadron dynamics
• Estimate of the charmed 0-- hybrid meson spectrum from quenched lattice QCD
• Energy spectrum of the low-lying gluon excitations in the Coulomb gauge
• Coulomb energy and gluon distribution in the presence of static sources
• Casimir scaling, glueballs and hybrid gluelumps
• Hybrid adiabatic potentials in the QCD string model
• Hybrid Quarkonia with Dynamical Sea Quarks
• Auxiliary fields and the flux tube model
• Quark self-energy and relativistic flux tube model
• Lattice Predictions for Hybrids and Glueballs

Cited by in corpus (22)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Spectra and decays of hybrid charmonia
• On the Nature of X(4260)
• On two- and three-body descriptions of hybrid mesons
• Baryonic mass formula in large $N_c$ QCD versus quark model
• One-Dimensional Semirelativistic Hamiltonian with Multiple Dirac Delta Potentials
• Meson and glueball spectra with the relativistic flux tube model
• Auxiliary fields as a tool for computing analytical solutions of the Schrödinger equation
• Towers of hybrid mesons
• Excited flux tube from $q\bar{q}g$ hybrid mesons
• Analysis on Heavy Quarkonia Transitions with Pion Emission in Terms of the QCD Multipole Expansion and Determination of Mass Spectra of Hybrids
• The auxiliary field method in quantum mechanics
• Semirelativistic Hamiltonians and the auxiliary field method
• Extensions of the auxiliary field method to solve Schrödinger equations
• Mass formula for strange baryons in large $N_c$ QCD versus quark model
• On the $\eta$ and ${\eta }^{\prime }$ Photoproduction Beam Asymmetry at High Energies
• Accuracy of Auxiliary Field Approach for Baryons
• Gluon Excitations and Quark Chiral Symmetry in the Meson Spectrum: an Einbein Solution to the Large Degeneracy Problem of Light Mesons
• Hybrid meson masses and the correlated Gaussian basis
• QCD string in excited heavy-light mesons and heavy-quark hybrids
• Masses and decays of the bottom-charm hybrid meson $c\bar{b}g$
• Tunneling dynamics of the relativistic Schrodinger/Salpeter equation