612 research outputs found
Parton distributions for the pion in a chiral quark model
Parton distributions for the pion are studied in a chiral quark model
characterized by a quark propagator for which a spectral representation is
assumed. Electromagnetic and chiral symmetry constraints are imposed through
the relevant Ward-Takahashi identities for flavoured vertex functions.
Finiteness of the theory, requires the spectral function to be non-positive
definite. Straightforward calculation yields the result that the pion structure
function becomes one in the chiral limit, regardless of the details of the
spectral function. LO and NLO evolution provide a satisfactory description of
phenomenological parameterizations of the valence distribution functions but
fails to describe gluon and sea distributions.Comment: Latex, World Scientific, 8 pages, 1 figures. Talk given at the
Workshop on " Lepton Scattering, Hadrons and QCD " March 26 -- April 6, 2001.
Adelaide (Australia
Meson Resonances at large Nc: Complex Poles vs Breit-Wigner Masses
The rigorous quantum mechanical definition of a resonance requires
determining the pole position in the second Riemann sheet of the analytically
continued partial wave scattering amplitude in the complex Mandelstam
s-variable plane. For meson resonances we investigate the alternative
Breit-Wigner (BW) definition within the large Nc expansion. By assuming that
the pole position is and exploiting unitarity, we show
that the BW determination of the resonance mass differs from the pole position
by terms, which can be extracted from pi-pi scattering
data. For the case of the f0(600) pole, the BW scalar mass is predicted to
occur at about 700 MeV while the true value is located at about 800 MeV.Comment: 7 pages. No figures. (elsevier preprint
Partonic quasi-distributions of the pion in chiral quark models
The evaluation of partonic distributions presents a challenge for QCD, and in
particular for its Euclidean lattice realization. Recently, objects called
quasi-distributions (which become standard distributions in a limit of the
longitudinal momentum of the target hadron going to infinity) have been
proposed. We present a non-perturbative, dynamical evaluation of the quark
quasi-distribution amplitude (QDA) of the pion in the framework of chiral quark
models (the Nambu--Jona-Lasinio model and the spectral quark model). We arrive
at simple but nontrivial analytic expressions, where the dependence on the
longitudinal momentum, the momentum fraction, or the transverse-momentum (for
the unintegrated objects) can be explicitly assessed. For the parton
distribution amplitude (PDA), we carry out the necessary QCD evolution from the
constituent quark model scale to higher scales accessible on the lattice, and
compare favorably to the LaMET data.Comment: 6 pages, talk presented by WB at XVII International Conference on
Hadron Spectroscopy and Structure - Hadron2017, Salamanca, 25-29 September
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