2,066 research outputs found
Momentum Dependent Vertices , and : The NJL Scalar Hidden by Chiral Symmetry
We calculate the momentum dependence of three particle vertices , and in the context of a
Nambu Jona Lasinio type model. We show how they influence the processes , and and how chiral symmetry
shadows the presence of the .Comment: 9 pages (latex), 5 figures available from the authors, preprint
Coimbra 940506, IJS-TP-94/10, accepted for publication in Zeit. f. Physik
Pion Interactions in Chiral Field Theories
We study in various chiral models the pion charge radius, form
factor ratio, amplitude, charge pion
polarizabilities, amplitude at low
energies and the s-wave I = 0 scattering length. We find that a
quark-level linear sigma-model approach (also being consistent with tree-level
vector meson dominance) is quite compatible with all of the above data.Comment: 12 pages, 9 eps figure
and Polarizabilities from {} Data on the Base of S-Matrix Approach
We suggest the most model-independent and simple description of the
process near threshold in framework of S-matrix
approach. The amplitudes contain the pion polarizabilities and rather
restricted information about interaction. Application of these
formulae for description of MARK-II \cite{M2} and Crystal Ball \cite{CB} data
gives: ,
(in units system ) at the experimental values of scattering lengths. Both
values are compartible with current algebra predictions.Comment: LaTeX, 14 pages plus 6 figures (not included, available upon request)
, ISU-IAP.Th93-03, Irkuts
Master Formulae Approach to Photon Fusion Reactions
We analyze the reactions
through GeV, using the master formula approach to QCD with three
flavors. In this approach, the constraints of broken chiral symmetry, unitarity
and crossing symmetry are manifest in all channels. The pertinent vacuum
correlators are analyzed at tree level using straightforward resonance
saturation methods. A one-loop chiral power counting analysis at treshold is
also carried out and compared to standard chiral perturbation theory. Our
results are in overall agreement with the existing data in all channels. We
predict the strange meson polarizabilities and a very small cross section for
.Comment: 19 pages LaTeX, 7 figure
The Bottom Mass Prediction in Supersymmetric Grand Unification; Uncertainties and Constraints
Grand unified theories often predict unification of Yukawa couplings (e.g.,
), and thus certain relations among fermion masses. The
latter can distinguish these from models that predict only coupling constant
unification. The implications of Yukawa couplings of the heavy-family in the
supersymmetric extension of the standard model (when embedded in a GUT) are
discussed. In particular, uncertainties associated with and ,
threshold corrections at the low-scale, and threshold and
nonrenormalizable-operator corrections associated with a grand-unified sector
at the high-scale are parametrized and estimated. The implication of these and
of the correlation between and the prediction for are
discussed. Constraints on the range in such models and an upper
bound on the -quark pole mass are given and are shown to be affected by the
correlation. Constraints on the low-scale thresholds are
found to be weakened by uncertainties associated with the high-scale.Comment: 23 pages + 7 figures (figures are available upon request), LaTex +
RevTex 3.0, UPR-0556
Topics in Chiral Perturbation Theory
I consider some selected topics in chiral perturbation theory (CHPT). For the
meson sector, emphasis is put on processes involving pions in the isospin zero
S-wave which require multi-loop calculations. The advantages and shortcomings
of heavy baryon CHPT are discussed. Some recent results on the structure of the
baryons are also presented.Comment: 30 pp, TeX, Review talk, Third Workshop on High Energy Particle
Physics (WHEPP III), Madras, India, January 1994. 7 figures available upon
request. CRN--94/0
The standard model at low energies
The hadronic sector of the standard model at low energies is described by a
non--decoupling effective field theory, chiral perturbation theory. An
introduction is given to the construction of effective chiral Lagrangians, both
in the purely mesonic sector and with inclusion of baryons. The connection
between the relativistic formulation and the heavy baryon approach to chiral
perturbation theory with baryons is reviewed.Comment: Lectures given at the 6th Indian-Summer School on Intermediate Energy
Physics, Prague, Aug. 1993, Latex, 26 pages (with a4.sty), UWThPh-1993-3
Photon-Photon Scattering, Pion Polarizability and Chiral Symmetry
Recent attempts to detect the pion polarizability via analysis of
measurements are examined. The connection
between calculations based on dispersion relations and on chiral perturbation
theory is established by matching the low energy chiral amplitude with that
given by a full dispersive treatment. Using the values for the polarizability
required by chiral symmetry, predicted and experimental cross sections are
shown to be in agreement.Comment: 21 pages(+10 figures available on request), LATEX, UMHEP-38
f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach
We discuss a possible interpretation of the f0(980) meson as a hadronic
molecule - a bound state of K and bar K mesons. Using a phenomenological
Lagrangian approach we calculate the strong f0(980) to pi pi and
electromagnetic f0(980) to gamma gamma decays. The compositeness condition
provides a self-consistent method to determine the coupling constant between f0
and its constituents, K and bar K. Form factors governing the decays of the
f0(980) are calculated by evaluating the kaon loop integrals. The predicted
f0(980) to pi pi and f0(980) to gamma gamma decay widths are in good agreement
with available data and results of other theoretical approaches.Comment: 21 pages, 11 figures, revised version accepted for publication in
Eur. Phys. J.
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