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Title: Meson spectroscopy and properties using dyson-schwinger equations.

Abstract

We study pseudoscalar and scalar mesons using a practical and symmetry preserving truncation of QCD's Dyson-Schwinger equations. We investigate and compare properties of ground and radially excited meson states. In addition to exact results for radial meson excitations we also present results for meson masses and decay constants from the chiral limit up to the charm-quark mass, e.g., the mass of the {chi}{sub c0}(2P) meson.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
939309
Report Number(s):
ANL/PHY/CP-119134
TRN: US0806745
DOE Contract Number:
DE-AC02-06CH11357
Resource Type:
Conference
Resource Relation:
Journal Name: Int. J. Mod. Phys. A; Journal Volume: 22; Journal Issue: 2-3 ; Jan. 30, 2007; Conference: 9th International Workshop on Meson Production, Properties and Interaction; Jun. 9, 2006 - Jun. 13, 2006; Krakow, Poland
Country of Publication:
United States
Language:
ENGLISH
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DECAY; MESON SPECTROSCOPY; MESONS; PRODUCTION; PSEUDOSCALARS; SCALAR MESONS; SYMMETRY

Citation Formats

Krassnigg, A., Roberts, C. D., Wright, S. V., Physics, and Univ. of Graz. Meson spectroscopy and properties using dyson-schwinger equations.. United States: N. p., 2007. Web. doi:10.1142/S0217751X07035616.
Krassnigg, A., Roberts, C. D., Wright, S. V., Physics, & Univ. of Graz. Meson spectroscopy and properties using dyson-schwinger equations.. United States. doi:10.1142/S0217751X07035616.
Krassnigg, A., Roberts, C. D., Wright, S. V., Physics, and Univ. of Graz. Tue . "Meson spectroscopy and properties using dyson-schwinger equations.". United States. doi:10.1142/S0217751X07035616.
@article{osti_939309,
title = {Meson spectroscopy and properties using dyson-schwinger equations.},
author = {Krassnigg, A. and Roberts, C. D. and Wright, S. V. and Physics and Univ. of Graz},
abstractNote = {We study pseudoscalar and scalar mesons using a practical and symmetry preserving truncation of QCD's Dyson-Schwinger equations. We investigate and compare properties of ground and radially excited meson states. In addition to exact results for radial meson excitations we also present results for meson masses and decay constants from the chiral limit up to the charm-quark mass, e.g., the mass of the {chi}{sub c0}(2P) meson.},
doi = {10.1142/S0217751X07035616},
journal = {Int. J. Mod. Phys. A},
number = 2-3 ; Jan. 30, 2007,
volume = 22,
place = {United States},
year = {Tue Jan 30 00:00:00 EST 2007},
month = {Tue Jan 30 00:00:00 EST 2007}
}

Conference:
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  • Dyson-Schwinger equation (DSE) studies show that the b-quark mass-function is approximately constant, and that this is true to a lesser extent for the c-quark. This observation provides the basis for a study of the leptonic and semileptonic decays of heavy pseudoscalar mesons using a ''heavy-quark'' limit of the DSES, which, when exact, reduces the number of independent form factors. Semileptonic decays with light mesons in the final state are also accessible because the DSES provide a description of light-quark propagation characteristics and light-meson structure. A description of B-meson decays is straightforward, however, the study of decays involving the D-meson indicatesmore » that c-quark mass-corrections are quantitatively important.« less
  • The authors summarize a Dyson-Schwinger-equation-based calculation of an extensive range of light- and heavy-meson observable, characterized by heavy-meson leptonic decays, semileptonic heavy-to-heavy and heavy-to-light transitions--B {yields} D*, D, {rho}, {pi}; D {yields} K*, K, {pi}, radiative and strong decays--B*{sub (s)} {yields} B{sub (s)}{gamma}; D*{sub (s)}{gamma} and the rare B {yields} K*{sub {gamma}} flavor-changing neutral-current process. In the calculation the heavy-quark mass functions are approximated by constants, interpreted as their constituent-mass: {cflx M}{sub c} = 1.32GeV and {cflx M}{sub b} = 4.65 GeV.
  • An overview of the theory and phenomenology of hadrons and QCD is provided from a Dyson-Schwinger equation viewpoint. Following a discussion of the definition and realization of light-quark confinement, the nonperturbative nature of the running mass in QCD and inferences from the gap equation relating to the radius of convergence for expansions of observables in the current-quark mass are described. Some exact results for pseudoscalar mesons are also highlighted, with details relating to the U{sub A}(1) problem, and calculated masses of the lightest J = 0,1 states are discussed. Studies of nucleon properties are recapitulated upon and illustrated: through amore » comparison of the In-weighted ratios of Pauli and Dirac form factors for the neutron and proton; and a perspective on the contribution of quark orbital angular momentum to the spin of a nucleon at rest. Comments on prospects for the future of the study of quarks in hadrons and nuclei round out the contribution.« less
  • It was shown using the Schwinger-Dyson equations and the Slavnov-Taylor identities of Yang-Mills theory that no inconsistency arises if the gluon propagator behaves like (1/p/sup 2/)/sup 2/ for small p/sup 2/. To see whether the theory actually contains such singular long range behavior, a nonperturbative closed set of equations was formulated by neglecting the transverse parts of GAMMA and GAMMA/sub 4/ in the Schwinger-Dyson equations. This simplification preserves all the symmetries of the theory and allows the possibility for a singular low-momentum behavior of the gluon propagator. The justification for neglecting GAMMA/sup (T)/ and GAMMA/sub 4//sup (T)/ is not evidentmore » but it is expected that the present study of the resulting equations will elucidate this simplification, which leads to a closed set of equations.« less
  • The Schwinger-Dyson equations for the nucleon and meson propagators are solved self-consistently in an approximation that goes beyond the Hartree-Fock approximation. The traditional approach consists in solving the nucleon Schwinger-Dyson equation with bare meson propagators and bare meson-nucleon vertices; the corrections to the meson propagators are calculated using the bare nucleon propagator and bare nucleon-meson vertices. It is known that such an approximation scheme produces the appearance of ghost poles in the propagators. In this paper the coupled system of Schwinger-Dyson equations for the nucleon and the meson propagators are solved self-consistently including vertex corrections. The interplay of self-consistency andmore » vertex corrections on the ghosts problem is investigated. It is found that the self-consistency does not affect significantly the spectral properties of the propagators. In particular, it does not affect the appearance of the ghost poles in the propagators.« less