1,766 research outputs found
The electromagnetic effects in decay
The final state interaction of pions in decay allows one to obtain
the value of the isospin and angular momentum zero scattering length
.We take into account the electromagnetic interaction of pions and
isospin symmetry breaking effects caused by different masses of neutral and
charged pions and estimate the impact of these effects on the procedure of
scattering length extraction from decay.Comment: 8 pages,1 figur
The Hagedorn Temperature and Partition Thermodynamics
We review the resonance gas formalism of hadron thermodynamics and recall
that an exponential increase of the resonance spectrum leads to a limiting
temperature of hadronic matter. We then show that the number p(n) of ordered
partitions of an integer n grows exponentially with n and satisfies the integer
counterpart of the statistical bootstrap equation. Considering the set of all
partitions as a Gibbs ensemble provides a partition thermodynamics which is
also governed by a limiting temperature, determined by the combinatorial
structure of the problem. Further associating intrinsic quantum numbers to
integers results in a phase diagram equivalent to that found in QCD for
hadronic matter as function of temperature and baryochemical potential.Comment: Dedicated to Rolf Hagedorn, 1919-2003. 11 pages, 3 figures. Final
version accepted for publication in the European Physical Journal
Semileptonic Hyperon Decays and CKM Unitarity
Using a technique that is not subject to first-order SU(3) symmetry breaking
effects, we determine the element of the CKM matrix from data on
semileptonic hyperon decays. We obtain =0.2250(27). This value is of
similar precision to the one derived from , but higher and in better
agreement with the unitarity requirement, .Comment: 3 pages, 1 tabl
The isospin symmetry breaking effects in decays
The Fermi-Watson theorem is generalized to the case of two coupled channels
with different masses and applied to final state interaction in
decays. The impact of considered effect on the phase of the scattering
is estimated and shown that it can be crucial for scattering lengths extraction
from experimental data on decays
Semileptonic Hyperon Decays on the Lattice: an Exploratory Study
We present preliminary results of an exploratory lattice study of the vector
form factor relevant for the semileptonic hyperon decay
. This study is based on the same method used for the
extraction of for the decay . The main purpose
of this study is to test the method for hyperon form factors in order to
estimate the precision that can be reached and the importance of SU(3)-breaking
effects.Comment: 3 pages, 5 figures, talk presented at Lattice2004(weak), Fermilab,
Batavia, Illinois, 21-26 June 200
Soft-photon corrections in multi-body meson decays
The effects due to soft-photon emission (and the related virtual corrections)
in multi-body decays of B, D, and K mesons are analysed. We present analytic
expressions for the universal O(alpha) correction factors which can be applied
to all multi-body decay modes where a tight soft-photon energy cut in the
decaying-particle rest-frame is applied. All-order resummations valid in the
limit of small and large velocities of the final-state particles are also
discussed. The phenomenological implications of these correction factors in the
distortion of Dalitz-plot distributions of K -> 3 pi decays are briefly
analysed.Comment: 8 pages, 2 figures (v2: minor modifications - published version
Precise Determination of |V{us}| from Lattice Calculations of Pseudoscalar Decay Constants
Combining the ratio of experimental kaon and pion decay widths, Gamma(K to mu
antineutrino{mu} (gamma)) / Gamma(pi to mu \antineutrino (gamma)), with a
recent lattice gauge theory calculation of f{K}/f{pi} provides a precise value
for the CKM quark mixing matrix element |V{us}|=0.2236(30) or if 3 generation
unitarity is assumed |V{us}|=0.2238(30). Comparison with other determinations
of that fundamental parameter, implications, and an outlook for future
improvements are given
Semileptonic Hyperon Decays
We review the status of hyperon semileptonic decays. The central issue is the
element of the CKM matrix, where we obtain . This
value is of similar precision, but higher, than the one derived from ,
and in better agreement with the unitarity requirement,
. We find that the Cabibbo model gives an
excellent fit of the existing form factor data on baryon beta decays ( for 3 degrees of freedom) with , , and no indication of flavour-SU(3)-breaking effects. We
indicate the need of more experimental and theoretical work, both on hyperon
beta decays and on decays.Comment: 37 pages, 8 figures, 4 tables, Final version of this material is
scheduled to appear in the Annual Review of Nuclear and Particle Science Vol.
5
Cooling for instantons and the Wrath of Nahm
The dynamics of instantons and anti-instantons in lattice QCD can be studied
by analysing the action and topological charge of configurations as they
approach a self-dual or anti-self-dual state, i.e. a state in which S/S_0=|Q|.
We use cooling to reveal the semi-classical structure of the configurations we
study. Improved actions which eliminate discretization errors up to and
including O(a^4) are used to stabilise instantons as we cool for several
thousand sweeps. An analogously improved lattice version of the continuum
field-strength tensor is used to construct a topological charge free from
O(a^4) discretization errors. Values of the action and topological charge
obtained with these improved operators approach mutually-consistent integer
values to within a few parts in 10^4 after several hundred cooling sweeps.
Analysis of configurations with |Q| \approx 1 and |Q| \approx 2 supports the
hypothesis that a self-dual |Q|=1 configuration cannot exist on the 4-torus.Comment: 5 pages, 4 figures, talk presented at the workshop on Lattice Hadron
Physics, Cairns Australia, July 200
Dependence of Lattice Hadron Masses on External Magnetic Fields
We study the variation of the hadron masses in the presence of external
magnetic fields of strength of the order of the masses themselves. We identify
the main factors affecting the lattice simulation results: - the boundary
discontinuities for . - the SU(6) choice of the hadron
wave-function. We confirm qualitatively the earlier theoretical ansatz on the
linear behaviour of the masses with the magnetic field and, as a by-product, we
improve the lattice measurements of the nucleon magnetic moments. However our
systematic and statistical errors preclude us from measuring the theoretically
predicted field strength at which the proton becomes heavier than the neutron.Comment: 18 pages, compressed uuencoded postscript fil
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