136 research outputs found
-invariant two-fermion Dirac equation with extended hyperfine operator
For the S-states of muonium and positronium, the hyperfine shifts to the
order of a recently derived two-fermion equation with explicit -invariance are checked against the results of a nonrelativistic reduction,
and the leading shifts are calculated. An additional hyperfine
operator is discovered which can milden the singularity for of the
Dirac hyperfine operator, such that the resulting extended operator can be used
nonperturbatively. The binding correction to magnetic moments is mentioned
Antihyperon polarization in high-energy inclusive reactions
We propose a model for the antihyperon polarization in high-energy
proton-nucleus inclusive reactions, based on the final-state interactions
between the antihyperons and other produced particles (predominantly pions). To
formulate this idea, we use the previously obtained low-energy
pion-(anti-)hyperon interaction using effective chiral Lagrangians, and a
hydrodynamic parametrization of the background matter, which expands and
decouples at a certain freezeout temperature.Comment: 17 pages, 10 figure
Eight-component two-fermion equations
An eight-component formalism is proposed for the relativistic two-fermion
problem. In QED, it extends the applicability of the Dirac equation with
hyperfine interaction to the positronium case. The use of exact relativistic
two-body kinematics entails a CP-invariant spectrum which is symmetric in the
total cms energy. It allows the extension of recent \alpha^6 recoil corrections
to the positronium case, and implies new recoil corrections to the fine and
hyperfine structures and to the Bethe logarithm.Comment: Revtex, accepted for publication in Phys. Rev.
Breit type equation for mesonic atoms
The finite size effects and relativistic corrections in pionic and kaonic
hydrogen are evaluated by generalizing the Breit equation for a spin-0 -
spin-1/2 amplitude with the inclusion of the hadron electromagnetic form
factors. The agreement of the relativistic corrections to the energies of the
mesonic atoms with other methods used to evaluate them is not exact, but
reasonably good. The precision values of the energy shifts due to the strong
interaction, extracted from data, are however subject to the hadronic form
factor uncertainties.Comment: 11 pages Late
Pion form factor in the Kroll-Lee-Zumino model
The renormalizable Abelian quantum field theory model of Kroll, Lee, and
Zumino is used to compute the one-loop vertex corrections to the tree-level,
Vector Meson Dominance (VMD) pion form factor. These corrections, together with
the known one-loop vacuum polarization contribution, lead to a substantial
improvement over VMD. The resulting pion form factor in the space-like region
is in excellent agreement with data in the whole range of accessible momentum
transfers. The time-like form factor, known to reproduce the Gounaris-Sakurai
formula at and near the rho-meson peak, is unaffected by the vertex correction
at order (g_\rpp^2).Comment: Revised version corrects a misprint in Eq.(1
Variational Derivation of Relativistic Fermion-Antifermion Wave Equations in QED
We present a variational method for deriving relativistic two-fermion wave
equations in a Hamiltonian formulation of QED. A reformulation of QED is
performed, in which covariant Green functions are used to solve for the
electromagnetic field in terms of the fermion fields. The resulting modified
Hamiltonian contains the photon propagator directly. The reformulation permits
one to use a simple Fock-space variational trial state to derive relativistic
fermion-antifermion wave equations from the corresponding quantum field theory.
We verify that the energy eigenvalues obtained from the wave equation agree
with known results for positronium.Comment: 25 pages, accepted in Journal of Mathematical Physics (2004
Unitarity constraint for threshold coherent pion photoproduction on the deuteron and chiral perturbation theory
The contribution of the two-step process gamma + d -> p + n -> pi0 + d to the
imaginary part of the amplitude for coherent pion production on the deuteron is
calculated exploiting unitarity constraints. The result shows that this
absorptive process is not negligible and has to be considered in an extraction
of the elementary neutron production amplitude from the gamma + d -> pi0 + d
cross section at threshold. In addition, it is argued that a consistent
calculation of gamma + d -> pi0 + d in baryon chiral perturbation theory beyond
next-to-leading order requires the inclusion of this absorptive process.Comment: 11 pages revtex including 2 postscript figure
Coupling constants and transition potentials for hadronic decay modes of a meson
Within the independent-harmonic-oscillator model for quarks inside a hadron,
a rigorous method is presented for the calculation of coupling constants and
transition potentials for hadronic decay, as needed in a multi-channel
description of mesons.Comment: 19 pages, 4 figure
Probing CP Violation in Omega->Lambda K->p pi K Decay
The sum of the CP-violating asymmetries A_Omega and A_Lambda in the decay
sequence Omega->Lambda K, Lambda->p pi is presently being measured by the E871
experiment. We evaluate contributions to A_Omega from the standard model and
from possible new physics, and find them to be smaller than the corresponding
contributions to A_Lambda, although not negligibly so. We also show that the
partial-rate asymmetry in Omega->Lambda K is nonvanishing due to final-state
interactions. Taking into account constraints from kaon data, we discuss how
the upcoming result of E871 and future measurements may probe the various
contributions to the observables.Comment: 19 pages, 4 figure
Estimates for parameters and characteristics of the confining SU(3)-gluonic field in an -meson
The confinement mechanism proposed earlier by the author is applied to
estimate the possible parameters of the confining SU(3)-gluonic field in an
-meson. For this aim the electric form factor of an
-meson is nonperturbatively computed in an explicit analytic form.
The estimates obtained are also consistent with the width of the
electromagnetic decay . The corresponding estimates of
the gluon concentrations, electric and magnetic colour field strengths are also
adduced for the mentioned field at the scales of the meson under consideration.Comment: 20 pages, LaTe
- …