249 research outputs found
Glass Model, Hubbard Model and High-Temperature Superconductivity
In this paper we revisit the glass model describing the macroscopic behavior
of the High-Temperature superconductors. We link the glass model at the
microscopic level to the striped phase phenomenon, recently discussed widely.
The size of the striped phase domains is consistent with earlier predictions of
the glass model when it was introduced for High-Temperature Superconductivity
in 1987. In an additional step we use the Hubbard model to describe the
microscopic mechanism for d-wave pairing within these finite size stripes. We
discuss the implications for superconducting correlations of Hubbard model,
which are much higher for stripes than for squares, for finite size scaling,
and for the new view of the glass model picture.Comment: 7 pages, 7 figures (included), LaTex using Revtex, accepted by Int.
J. Mod. Phys.
On the chiral effective meson-baryon Lagrangian at third order
We show that the recently constructed complete and ``minimal'' third order
meson-baryon effective chiral Lagrangian can be further reduced from 84 to 78
independent operators.Comment: 6 pp, accepted for publication in Eur. Phys. J.
Towards an understanding of isospin violation in pion-nucleon scattering
We investigate isospin breaking in low-energy pion-nucleon scattering in the
framework of chiral perturbation theory. This work extends the systematic
analysis of [1] to the energy range above threshold. Various relations, which
identically vanish in the limit of isospin symmetry, are used to quantify
isospin breaking effects. We study the energy dependence of the S- and P-wave
projections of these ratios and find dramatic effects in the S-waves of those
two relations which are given in terms of isoscalar quantities only. This
effect drops rather quickly with growing center-of-mass energy.Comment: 12 pp, REVTeX, 8 figs, FZJ-IKP(TH)-2000-2
Pionic charge exchange on the proton from 40 to 250 MeV
The total cross sections for pionic charge exchange on hydrogen were measured
using a transmission technique on thin CH2 and C targets. Data were taken for
pi- lab energies from 39 to 247 MeV with total errors of typically 2% over the
Delta-resonance and up to 10% at the lowest energies. Deviations from the
predictions of the SAID phase shift analysis in the 60 to 80 MeV region are
interpreted as evidence for isospin-symmetry breaking in the s-wave amplitudes.
The charge dependence of the Delta-resonance properties appears to be smaller
than previously reported
Baryon chiral perturbation theory with virtual photons and leptons
We construct the general pion-nucleon SU(2) Lagrangian including both virtual
photons and leptons for relativistic baryon chiral perturbation theory up to
fourth order. We include the light leptons as explicit dynamical degrees of
freedom by introducing new building blocks which represent these leptons.Comment: 11 page
The (1535) and (1650) Resonances in Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory
The wave meson-baryon scattering is analyzed for the strangeness S=0
sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral
Symmetry. Four channels have been considered: , , ,
. The needed two particle irreducible matrix amplitude is taken from
lowest order Chiral Perturbation Theory in a relativistic formalism and low
energy constants are fitted to the elastic phase-shifts and the and cross section data. The position of
the complex poles in the second Riemann sheet of the scattering amplitude
determine masses and widths of the (1535) and (1650)
resonances, in reasonable agreement with experiment. A good overall description
of data, from threshold up to 2 GeV, is achieved keeping in mind that
the two pion production channel has not been included.Comment: 35 pages, LaTeX + 7 ps-figure files. Some minor mistakes have been
corrected for and a new appendix discussing the matching to HBChPT has been
also adde
Bethe-Salpeter Approach for the Elastic Pion-Nucleon Scattering in Heavy Baryon Chiral Perturbation Theory
Heavy Baryon Chiral Perturbation Theory (HBChPT) to leading order provides a
kernel to solve the Bethe-Salpeter equation for the
(-channel) system, in the infinite nucleon mass limit.
Crossed Born terms include, when iterated within the Bethe-Salpeter equation,
both {\it all} one- and {\it some} two-pion intermediate states, hence
preserving elastic unitarity below the two-pion production threshold. This
suggests searching for a solution with the help of dispersion relations and
suitable subtraction constants, when all in-elasticities are explicitly
neglected. The solution allows for a successful description of the experimental
phase shift from threshold up to MeV in terms of four
subtraction constants. Next-to-leading order HBChPT calculations are also used
to estimate the unknown subtraction constants which appear in the solution.
Large discrepancies are encountered which can be traced to the slow convergence
rate of HBChPT.Comment: 11 pages, 3 figure
Chiral 3-exchange NN-potentials: Results for dominant next-to-leading order contributions
We calculate in (two-loop) chiral perturbation theory the local NN-potentials
generated by the three-pion exchange diagrams with one insertion from the
second order chiral effective pion-nucleon Lagrangian proportional to the
low-energy constants . The resulting isoscalar central potential
vanishes identically. In most cases these -exchange potentials are larger
than the ones generated by the diagrams involving only leading order vertices
due to the large values of (which mainly represent virtual
-excitation). A similar feature has been observed for the chiral
-exchange. We also give suitable (double-integral) representations for
the spin-spin and tensor potentials generated by the leading-order diagrams
proportional to involving four nucleon propagators. In these cases the
Cutkosky rule cannot be used to calculate the spectral-functions in the
infinite nucleon mass limit since the corresponding mass-spectra start with a
non-vanishing value at the -threshold. Altogether, one finds that chiral
-exchange leads to small corrections in the region fm where
- and chiral -exchange alone provide a very good strong NN-force as
shown in a recent analysis of the low-energy pp-scattering data-base.Comment: 11 pages, 7 figures, to be published in The Physical Review
Quark Mass Dependence of Nucleon Properties and Extrapolation from Lattice QCD
We summarize developments concerning the quark mass dependence of nucleon
magnetic moments and the axial-vector coupling constant g_A. The aim is to
explore the feasibility of chiral effective field theory methods for the
extrapolation of lattice QCD results, from the relatively large quark masses
that can be handled in such computations down to the physically relevant range.Comment: 9 pages, Latex, 4ps figures, uses World Scientific style file;
presented at International School ``Quarks in Hadrons and Nuclei'', Erice,
Sicily, September 200
Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory and the (1405) and (1670) Resonances
The wave meson-baryon scattering is analyzed for the strangeness
and isospin I=0 sector in a Bethe-Salpeter coupled channel formalism
incorporating Chiral Symmetry. Four channels have been considered: , , and . The required input to solve
the Bethe-Salpeter equation is taken from lowest order Chiral Perturbation
Theory in a relativistic formalism. There appear undetermined low energy
constants, as a consequence of the renormalization of the amplitudes, which are
obtained from fits to the mass-spectrum, to the elastic
and --matrices and to the
cross section data. The position and residues of the
complex poles in the second Riemann Sheet of the scattering amplitude determine
masses, widths and branching ratios of the (1405) and
(1670) resonances, in reasonable agreement with experiment. A good
overall description of data, from threshold up to 1.75 GeV, is
achieved despite the fact that three-body channels have not been explicitly
included.Comment: 23 pages, Latex, 10 Figures. In this revised version a new subsection
3.6 on Heavy Baryon Expansion and new references have been adde
- …