384 research outputs found
Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance
We present a two-flavour linear sigma model with global chiral symmetry and
vector and axial-vector mesons. We calculate pion-pion scattering lengths and
the decay widths of scalar, vector, and axial-vector mesons. It is demonstrated
that vector and axial-vector meson degrees of freedom play an important role in
these low-energy processes and that a reasonable theoretical description
requires globally chirally invariant terms other than the vector meson mass
term. An important question for meson vacuum phenomenology is the quark content
of the physical scalar f0(600) and a0(980) mesons. We investigate this question
by assigning the quark-antiquark sigma and a0 states of our model with these
physical mesons. We show via a detailed comparison with experimental data that
this scenario can describe all vacuum properties studied here except for the
decay width of the sigma, which turns out to be too small. We also study the
alternative assignment f0(1370) and a0(1450) for the scalar mesons. In this
case the decay width agrees with the experimental value, but the pion-pion
scattering length is too small. This indicates the necessity to
extend our model by additional scalar degrees of freedom.Comment: 22 pages, 6 figure
Alternative Large Nc Schemes and Chiral Dynamics
We compare the dependences on the number of colors of the leading pion pion
scattering amplitudes using the single index quark field and two index quark
fields. These are seen to have different relationships to the scattering
amplitudes suggested by chiral dynamics which can explain the long puzzling
pion pion s wave scattering up to about 1 GeV. This may be interesting for
getting a better understanding of the large Nc approach as well as for
application to recently proposed technicolor models.Comment: RevTex, two-columns, 6 page
Vacuum phenomenology of the chiral partner of the nucleon in a linear sigma model with vector mesons
We investigate a linear sigma model with global chiral symmetry. The mesonic degrees of freedom are the standard scalar and
pseudoscalar mesons and the vector and axial-vector mesons. The baryonic
degrees of freedom are the nucleon, , and its chiral partner, , which
is usually identified with N(1535). The chiral partner is incorporated in the
so-called mirror assignment, where the nucleon mass is not solely generated by
the chiral condensate but also by a chirally invariant mass term, . The
presence of (axial-) vector fields modifies the expressions for the axial
coupling constants of the nucleon, , and its partner,
. Using experimental data for the decays and
, as well as lattice results for we infer
MeV, i.e., an appreciable amount of the nucleon mass originates
from sources other than the chiral condensate. We test our model by evaluating
the decay and the s-wave nucleon-pion scattering lengths
.Comment: 16 pages, 2 figures. To appear in Phys. Rev.
QCD Tests of the Puzzling Scalar Mesons
Motivated by several recent data, we test the QCD spectral sum rules (QSSR)
predictions based on different proposals (\bar qq, \bar q\bar q qq, and
gluonium) for the nature of scalar mesons. In the I=1 and 1/2 channels, the
unusual (wrong) splitting between the a_0(980) and \kappa(900) and the a_0(980)
width can be understood from QSSR within a \bar qq assignement. However, none
of the \bar qq and \bar q\bar q qq results can explain the large \kappa width,
which may suggest that it can result from a strong interference with
non-resonant backgrounds. In the I=0 channel, QSSR and some low-energy theorems
(LET) require the existence of a low mass gluonium \sigma_B(1 GeV) coupled
strongly to Goldstone boson pairs which plays in the U(1)_V channel, a similar
role than the \eta' for the value of the U(1)_A topological charge. The
observed \sigma(600) and f_0(980) mesons result from a maximal mixing between
the gluonium \sigma_B and \bar qq(1 GeV) mesons, a mixing scheme which passes
several experimental tests. OZI violating J/\psi--> \phi\pi^+\pi^-, D_s--> 3\pi
decays and J/\psi--> \gamma S glueball filter processes may indicate that most
of the I=0 mesons above 1 GeV have important gluonium in their wave functions.
We expect that the f_0(1500), f_0(1710) and f_0(1790) have significant gluonium
component in their wave functions, while the f_0(1370) is mostly \bar qq. Tests
of these results can be provided by the measurements of the pure gluonium
\eta'\eta and 4\pi specific U(1)_A decay channels.Comment: Version to appear in Phys. Rev. D (one previous figure corrupted
Spontaneous breaking of chiral symmetry, and eventually of parity, in a -model with two Mexican hats
A sigma-model with two linked Mexican hats is discussed. This scenario could
be realized in low-energy QCD when the ground state and the first excited
(pseudo)scalar mesons are included, and where not only in the subspace of the
ground states, but also in that of the first excited states, a Mexican hat
potential is present. This possibility can change some basic features of a
low-energy hadronic theory of QCD. It is also shown that spontaneous breaking
of parity can occur in the vacuum for some parameter choice of the model.Comment: 10 pages, 1 figur
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