349 research outputs found
Faddeev approach to confined three-quark problems
We propose a method that allows for the efficient solution of the three-body
Faddeev equations in the presence of infinitely rising confinement
interactions. Such a method is useful in calculations of nonrelativistic and
especially semirelativistic constituent quark models. The convergence of the
partial wave series is accelerated and possible spurious contributions in the
Faddeev components are avoided. We demonstrate how the method works with the
example of the Goldstone-boson-exchange chiral quark model for baryons.Comment: 6 page
Chiral symmetry restoration in excited hadrons, quantum fluctuations, and quasiclassics
In this paper, we discuss the transition to the semiclassical regime in
excited hadrons, and consequently, the restoration of chiral symmetry for these
states. We use a generalised Nambu-Jona-Lasinio model with the interaction
between quarks in the form of the instantaneous Lorentz-vector confining
potential. This model is known to provide spontaneous breaking of chiral
symmetry in the vacuum via the standard selfenergy loops for valence quarks. It
has been shown recently that the effective single-quark potential is of the
Lorentz-scalar nature, for the low-lying hadrons, while, for the high-lying
states, it becomes a pure Lorentz vector and hence the model exhibits the
restoration of chiral symmetry. We demonstrate explicitly the quantum nature of
chiral symmetry breaking, the absence of chiral symmetry breaking in the
classical limit as well as the transition to the semiclassical regime for
excited states, where the effect of chiral symmetry breaking becomes only a
small correction to the classical contributions.Comment: RevTeX4, 20 pages, 4 Postscript figures, uses epsfig.sty, typos
correcte
Parity Doubling in the Meson Spectrum
A simple argument for the restoration of parity symmetry high in the hadron
spectrum is presented. The restoration scale is estimated to be 2.5 GeV. This
in turn implies that typical quark model phenomenology such as scalar
confinement or the decay model are only useful for low lying states.
Minimal requirements for constructing more general phenomenologies are
discussed. An additional mass degeneracy between and states
is shown to occur and an isovector state is predicted at roughly 1700
MeV, in contradiction with the naive quark model. Similarly, isovector and
isoscalar states are predicted at 2000 MeV. Finally, these results
imply that Regge trajectories must become nonlinear at high spin.Comment: 5 pages, revtex, no figures, no tables. Version to appear in PL
The Nucleon-Nucleon Interaction in a Chiral Constituent Quark Model
We study the short-range nucleon-nucleon interaction in a chiral constituent
quark model by diagonalizing a Hamiltonian comprising a linear confinement and
a Goldstone boson exchange interaction between quarks. The six-quark harmonic
oscillator basis contains up to two excitation quanta. We show that the highly
dominant configuration is due to its specific
flavour-spin symmetry. Using the Born-Oppenheimer approximation we find a
strong effective repulsion at zero separation between nucleons in both
and channels. The symmetry structure of the highly dominant
configuration implies the existence of a node in the S-wave relative motion
wave function at short distances. The amplitude of the oscillation of the wave
function at short range will be however strongly suppressed. We discuss the
mechanism leading to the effective short-range repulsion within the chiral
constituent quark model as compared to that related with the one-gluon exchange
interaction.Comment: 31 pages, LaTe
Electroweak properties of baryons in a covariant chiral quark model
The proton and neutron electromagnetic form factors and the nucleon axial
form factor have been calculated in the Goldstone-boson exchange
constituent-quark model within the point-form approach to relativistic quantum
mechanics. The results, obtained without any adjustable parameter nor quark
form factors, are, due to the dramatic effects of the boost required by the
covariant treatment, in striking agreement with the data.Comment: Proceedings of the Conference N*2001, Mainz; 4 pages, 3 figures
included in eps format; World Scientific style file include
Photocouplings of nucleon resonances with gluon and pion exchange currents
Photocouplings for the nucleon resonances most relevant to total
photoabsorption are calculated in a constituent quark model including gluon and
pion exchange. The sensitivity of the results to the different ingredients of
the model is discussed.Comment: 23 pages including 9 tables, LaTe
Covariant axial form factor of the nucleon in a chiral constituent quark model
The axial form factor G_A of the nucleon is investigated for the
Goldstone-boson-exchange constituent quark model using the point-form approach
to relativistic quantum mechanics. The results, being covariant, show large
contributions from relativistic boost effects. The predictions are obtained
directly from the quark-model wave functions, without any further input such as
vertex or constituent-quark form factors, and fall remarkably close to the
available experimental data.Comment: 10 pages, 1 figure in .eps format, typeset with Elsevier elsart style
files included. Revised version with a newly added section about discussion
of results. To appear in Phys. Lett.
Nucleon electromagnetic and axial form factors in point-form relativistic quantum mechanics
Results for the proton and neutron electric and magnetic form factors as well
as the nucleon axial form factor are presented for constituent quark models,
based on either one-gluon-exchange and Goldstone-boson-exchange dynamics. The
calculations are performed in a covariant framework using the point-form
approach to relativistic quantum mechanics. The only input to the calculations
is the nucleon wave function of the corresponding constituent quark model. A
comparison is given to results of the instanton-induced constituent quark model
treated with the Bethe-Salpeter equation.Comment: 4 pages, 6 figures, contribution to XVIII European Conference on
Few-Body Problems in Physics, September 2002, Bled, Sloveni
Covariant electroweak nucleon form factors in a chiral constituent quark model
Results for the proton and neutron electric and magnetic form factors as well
asthe nucleon axial and induced pseudoscalar form factors are presented for the
chiral constituent quark model based on Goldstone-boson-exchange dynamics. The
calculations are performed in a covariant framework using the point-form
approach to relativistic quantum mechanics. The direct predictions of the model
yield a remarkably consistent picture of the electroweak nucleon structure.Comment: 4 pages, 3 figures revte
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