Microscopic study of the string breaking in QCD

Abstract

Theory of strong decays defines in addition to decay widths, also the channel coupling and the mass shifts of the levels above the decay thresholds. In the standard decay models of the 3P0 type the decay vertex is taken to be a phenomenological constant "gamma" and such a choice leads to large mass shifts of all meson levels due to real and virtual decays, the latter giving a divergent contribution. Here we show that taking the microscopic details of decay vertex into account, one obtains new string width coefficient, which strongly suppresses virtual decay contribution. In addition for a realistic space structure of the decay vertex of highly excited states, the decay matrix elements appear to be strongly different from those, where the constant "gamma" is used. From our analysis also follows that so-called flattening potential can imitate the effects of intermediate decay channels.

21 pages, 8 figures, typos corrected, to be published in Phys.Atom.Nucl

References in corpus (10)

• Hadron interaction with heavy quarkonia
• Charmonium potential from full lattice QCD
• Charmonium spectroscopy and mixing with light quark and open charm states from nF=2 lattice QCD
• Determination of the Static Potential with Dynamical Fermions
• Higher excitations of the $D$ and $D_s$ mesons
• Strong decays and dipion transitions of Upsilon(5S)
• Di-Pion Decays of Heavy Quarkonium in the Field Correlator Method
• Relativistic theory of string breaking in QCD
• Radial Regge trajectories for higher $\psi (nS)$ and $\psi (nD)$ states
• Excited-State Hadron Masses from Lattice QCD

Cited by in corpus (7)

• How Large is the Contribution of Excited Mesons in Coupled-Channel Effects?
• The $c\bar{c}$ interaction above threshold and the radiative decay $X(3872)\to J/\psi \gamma$
• The radial Regge trajectories and leptonic widths of the isovector mesons
• Boosting QED and QCD bound states in the path integral formalism
• Nonperturbative approach to the parton model
• The leptonic widths of high $\psi$-resonances in unitary coupled-channel model
• Multi-source thermal model describing multi-region structure of transverse momentum spectra of identified particles and parameter dynamics of system evolution in relativistic collisions