233 research outputs found
Virtual annihilation contribution to orthopositronium decay rate
Order alpha^2 contribution to the orthopositronium decay rate due to
one-photon virtual annihilation is found to be
delta Gamma = (alpha/pi)^2 (pi^2 ln(alpha) - 0.8622(9))Gamma_LO.Comment: 2 pages, no figure
Two-loop corrections to the decay rate of parapositronium
Order corrections to the decay rate of parapositronium are
calculated. A QED scattering calculation of the amplitude for electron-positron
annihilation into two photons at threshold is combined with the technique of
effective field theory to determine an NRQED Hamiltonian, which is then used in
a bound state calculation to determine the decay rate. Our result for the
two-loop correction is in units of times the
lowest order rate. This is consistent with but more precise than the result
of a previous calculation.Comment: 26 pages, 7 figure
Electrodynamic Limit in a Model for Charged Solitons
We consider a model of topological solitons where charged particles have
finite mass and the electric charge is quantised already at the classical
level. In the electrodynamic limit, which physically corresponds to
electrodynamics of solitons of zero size, the Lagrangian of this model has two
degrees of freedom only and reduces to the Lagrangian of the Maxwell field in
dual representation. We derive the equations of motion and discuss their
relations with Maxwell's equations. It is shown that Coulomb and Lorentz forces
are a consequence of topology. Further, we relate the U(1) gauge invariance of
electrodynamics to the geometry of the soliton field, give a general relation
for the derivation of the soliton field from the field strength tensor in
electrodynamics and use this relation to express homogeneous electric fields in
terms of the soliton field.Comment: 13 pages, 4 figures, Introduction and Section II (Model Lagrangian)
rewritten, new chapters concerning electrodynamic limit and discussion of
causality inserte
Parton Model from Bi-local Solitonic Picture of the Baryon in two-dimensions
We study a previously introduced bi-local gauge invariant reformulation of
two dimensional QCD, called 2d HadronDynamics. The baryon arises as a
topological soliton in HadronDynamics. We derive an interacting parton model
from the soliton model, thus reconciling these two seemingly different points
of view. The valence quark model is obtained as a variational approximation to
HadronDynamics. A succession of better approximations to the soliton picture
are obtained. The next simplest case corresponds to a system of interacting
valence, `sea' and anti-quarks. We also obtain this `embellished' parton model
directly from the valence quark system through a unitary transformation. Using
the solitonic point of view, we estimate the quark and anti-quark distributions
of 2d QCD. Possible applications to Deep Inelastic Structure Functions are
pointed out.Comment: 12 page
The Nuclear Sigma Term in the Skyrme Model: Pion-Nucleus Interaction
The nuclear sigma term is calculated including the nuclear matrix element of
the derivative of the NN interaction with respect to the quark mass,
. The NN potential is evaluated in the
skyrmion-skyrmion picture within the quantized product ansatz. The contribution
of the NN potential to the nuclear sigma term provides repulsion to the
pion-nucleus interaction. The strength of the s-wave pion-nucleus optical
potential is estimated including such contribution. The results are consistent
with the analysis of the experimental data.Comment: 16 pages (latex), 3 figures (eps), e-mail: [email protected] and
[email protected]
Radiative Corrections to One-Photon Decays of Hydrogenic Ions
Radiative corrections to the decay rate of n=2 states of hydrogenic ions are
calculated. The transitions considered are the M1 decay of the 2s state to the
ground state and the E1(M2) decays of the and states to
the ground state. The radiative corrections start in order , but the method used sums all orders of . The leading
correction for the E1 decays is calculated and compared
with the exact result. The extension of the calculational method to parity
nonconserving transitions in neutral atoms is discussed.Comment: 22 pages, 2 figure
Mesons, Baryons and Waves in the Baby Skyrmion Model
We study various classical solutions of the baby-Skyrmion model in
dimensions. We point out the existence of higher energy states interpret them
as resonances of Skyrmions and anti-Skyrmions and study their decays. Most of
the discussion involves a highly exited Skyrmion-like state with winding number
one which decays into an ordinary Skyrmion and a Skyrmion-anti-Skyrmion pair.
We also study wave-like solutions of the model and show that some of such
solutions can be constructed from the solutions of the sine-Gordon equation. We
also show that the baby-Skyrmion has non-topological stationary solutions. We
study their interactions with Skyrmions.Comment: plain tex : 17 pages, 14 Postscript figures, uses epsf.te
Effect of Hadron Dynamics on the Proton Lifetime
A detailed, quantitative re-examination of the effect of hadron dynamics on
baryon decay, modeled in terms of Skyrme-field tunneling, indicates that any
hadronic suppression should be quite mild. This appears to be another
illustration of the `Cheshire-cat' phenomenon, that variation of the
apportionment between description of the nucleon as a bag of quarks and
description as a Skyrme field configuration has little influence on many
nucleon properties. Perhaps the largest remaining uncertainty in evaluating the
decay rate has to do with the overlap between a specified quark-antiquark
configuration and a final meson state.Comment: minor corrections, 19 pages, 9 figure
Charmed Strange Pentaquarks in the Large Limit
The properties of pentaquarks containing a heavy anti-quark and strange
quarks are studied in the bound state picture. In the flavor SU(3) limit, there
are many pentaquark states with the same binding energy. When the SU(3)
symmetry breaking effects are included, however, three states become
particularly stable due to a ``Gell-Mann--Okubo mechanism''. They are the and states discussed by Lipkin, and a a previously
unstudied state. These states will have and
their masses are estimated. These states, if exist, may be seen in experiments
in the near future.Comment: 12 pages in REVTeX, no figure
Skyrmions from a Born-Infeld Action
We consider a geometrically motivated Skyrme model based on a general
covariant kinetic term proposed originally by Born and Infeld. We introduce
this new term by generalizing the Born-Infeld action to a non-abelian
gauge theory and by using the hidden gauge symmetry formalism. The static
properties of the Skyrmion are then analyzed and compared with other
Skyrme-like models.Comment: 11 pages, 4 figures (not included), revtex v3, LAVAL-PHY-11-9
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