2,332 research outputs found
IDEF3 formalization report
The Process Description Capture Method (IDEF3) is one of several Integrated Computer-Aided Manufacturing (ICAM) DEFinition methods developed by the Air Force to support systems engineering activities, and in particular, to support information systems development. These methods have evolved as a distillation of 'good practice' experience by information system developers and are designed to raise the performance level of the novice practitioner to one comparable with that of an expert. IDEF3 is meant to serve as a knowledge acquisition and requirements definition tool that structures the user's understanding of how a given process, event, or system works around process descriptions. A special purpose graphical language accompanying the method serves to highlight temporal precedence and causality relationships relative to the process or event being described
S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
The isospin-2 pi pi system provides a useful testing ground for determining
elastic hadron scattering parameters from finite-volume spectra obtained using
lattice QCD computations. A reliable determination of the excited state
spectrum of two pions in a cubic box follows from variational analysis of
correlator matrices constructed using a large basis of operators. A general
operator construction is presented which respects the symmetries of a
multi-hadron system in flight. This is applied to the case of pi pi and allows
for the determination of the scattering phase-shifts at a large number of
kinematic points, in both S-wave and D-wave, within the elastic region. The
technique is demonstrated with a calculation at a pion mass of 396 MeV, where
the elastic scattering is found to be well described by a scattering length
parameterisation.Comment: Tables of little-group CGCs in ancillary file; v2: minor changes to
reflect published versio
Helicity operators for mesons in flight on the lattice
Motivated by the desire to construct meson-meson operators of definite
relative momentum in order to study resonances in lattice QCD, we present a set
of single-meson interpolating fields at non-zero momentum that respect the
reduced symmetry of a cubic lattice in a finite cubic volume. These operators
follow from the subduction of operators of definite helicity into irreducible
representations of the appropriate little groups. We show their effectiveness
in explicit computations where we find that the spectrum of states interpolated
by these operators is close to diagonal in helicity, admitting a description in
terms of single-meson states of identified J^{PC}. The variationally determined
optimal superpositions of the operators for each state give rapid relaxation in
Euclidean time to that state, ideal for the construction of meson-meson
operators and for the evaluation of matrix elements at finite momentum.Comment: 25 pages, 14 figures; v2: minor changes to reflect journal versio
Isoscalar meson spectroscopy from lattice QCD
We extract to high statistical precision an excited spectrum of
single-particle isoscalar mesons using lattice QCD, including states of high
spin and, for the first time, light exotic JPC isoscalars. The use of a novel
quark field construction has enabled us to overcome the long-standing challenge
of efficiently including quark-annihilation contributions. Hidden-flavor mixing
angles are extracted and while most states are found to be close to ideally
flavor mixed, there are examples of large mixing in the pseudoscalar and axial
sectors in line with experiment. The exotic JPC isoscalar states appear at a
mass scale comparable to the exotic isovector states.Comment: 4 pages, 4 figure
Dynamically-coupled partial-waves in isospin-2 scattering from lattice QCD
We present the first determination of scattering, incorporating
dynamically-coupled partial-waves, using lattice QCD, a first-principles
numerical approach to QCD. Considering the case of isospin-2 , we
calculate partial-wave amplitudes with and determine the degree of
dynamical mixing between the coupled and -wave channels with .
The analysis makes use of the relationship between scattering amplitudes and
the discrete spectrum of states in the finite volume lattice. Constraints on
the scattering amplitudes are provided by over one hundred energy levels
computed on two lattice volumes at various overall momenta and in several
irreducible representations of the relevant symmetry groups. The spectra follow
from variational analyses of matrices of correlations functions computed with
large bases of meson-meson operators. Calculations are performed with
degenerate light and strange quarks tuned to the physical strange quark mass so
that MeV, ensuring that the is stable against strong
decay. This work demonstrates the successful application of techniques, opening
the door to calculations of scattering processes that incorporate the effects
of dynamically-coupled partial-waves, including those involving resonances or
bound states.Comment: Minor changes to match the published versio
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