53,125 research outputs found
Quarkonium spin structure in lattice NRQCD
Numerical simulations of the quarkonium spin splittings are done in the
framework of lattice nonrelativistic quantum chromodynamics (NRQCD). At leading
order in the velocity expansion the spin splittings are of , where
is the renormalized quark mass and is the mean squared quark
velocity. A systematic analysis is done of all next-to-leading order
corrections. This includes the addition of relativistic
interactions, and the removal of discretization errors in the
leading-order interactions. Simulations are done for both S- and P-wave mesons,
with a variety of heavy quark actions and over a wide range of lattice
spacings. Two prescriptions for the tadpole improvement of the action are also
studied in detail: one using the measured value of the average plaquette, the
other using the mean link measured in Landau gauge. Next-to-leading order
interactions result in a very large reduction in the charmonium splittings,
down by about 60% from their values at leading order. There are further
indications that the velocity expansion may be poorly convergent for
charmonium. Prelimary results show a small correction to the hyperfine
splitting in the Upsilon system.Comment: 16 pages, REVTEX v3.1, 5 postscript figures include
Tadpole renormalization and relativistic corrections in lattice NRQCD
We make a comparison of two tadpole renormalization schemes in the context of
the quarkonium hyperfine splittings in lattice NRQCD. Improved gauge-field and
NRQCD actions are analyzed using the mean-link in Landau gauge, and
using the fourth root of the average plaquette . Simulations are done
for , , and systems. The hyperfine splittings are
computed both at leading and at next-to-leading order in the relativistic
expansion. Results are obtained at lattice spacings in the range of about
0.14~fm to 0.38~fm. A number of features emerge, all of which favor tadpole
renormalization using . This includes much better scaling behavior of
the hyperfine splittings in the three quarkonium systems when is
used. We also find that relativistic corrections to the spin splittings are
smaller when is used, particularly for the and
systems. We also see signs of a breakdown in the NRQCD expansion when the bare
quark mass falls below about one in lattice units. Simulations with
also appear to be better behaved in this context: the bare quark masses turn
out to be larger when is used, compared to when is used on
lattices with comparable spacings. These results also demonstrate the need to
go beyond tree-level tadpole improvement for precision simulations.Comment: 14 pages, 7 figures (minor changes to some phraseology and
references
Development of improved electroforming technique
Techniques were studied to reinforce or strengthen electroformed nickel to allow a fuller utilization of electroforming as a reliable and low cost fabrication technique for regenerately cooled thrust chambers. Techniques for wire wrapping while electrodepositing were developed that can result in a structurally strong wall with less weight than a conventional electroformed wall. Also a technique of codepositing submicron sized THO2 particles with the nickel to form a dispersion strengthened structure was evaluated. The standard nickel cylinders exhibited an average hoop strength of 80,000 psi with a yield strength of 65,000 psi and a modulus of 25.6 x 10 to the 6th power psi. The as produced dispersion strengthened nickel showed a hoop strength of 97,000 psi with a yield strength of 67,000 psi. This is an increase of 17,000 psi or 21% over the standard nickel hoop strength. The wire wrapping cylinders showed an increased strength over the standard nickel test samples of 26,000 to 66,800 psi which is in the range of 26 to 104% increase in strength over the base standard nickel. These latter test results are indicative of a volume percent wire reinforcement from 15 to 31. The measured hoop strengths agree with calculated composite strengths based upon rule of mixtures
D to K and D to pi semileptonic form factors from Lattice QCD
We present a very high statistics study of D and D_s semileptonic decay form
factors on the lattice. We work with MILC N_f=2+1 lattices and use the Highly
Improved Staggered Quark action (HISQ) for both the charm and the strange and
light valence quarks. We use both scalar and vector currents to determine the
form factors f_0(q^2) and f_+(q^2) for a range of D and D_s semileptonic
decays, including D to pi and D to K. By using a phased boundary condition we
are able to tune accurately to q^2=0 and explore the whole q^2 range allowed by
kinematics. We can thus compare the shape in q^2 to that from experiment and
extract the CKM matrix element |V_cs|. We show that the form factors are
insensitive to the spectator quark: D to K and D_s to eta_s form factors are
essentially the same, which is also true for D to pi and D_s to K within 5%.
This has important implications when considering the corresponding B/B_s
processes.Comment: To appear in the proceedings of The 5th International Workshop on
Charm Physics (Charm 2012
Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD
We determine masses and decay constants of heavy-heavy and heavy-charm
pseudoscalar mesons as a function of heavy quark mass using a fully
relativistic formalism known as Highly Improved Staggered Quarks for the heavy
quark. We are able to cover the region from the charm quark mass to the bottom
quark mass using MILC ensembles with lattice spacing values from 0.15 fm down
to 0.044 fm. We obtain f_{B_c} = 0.427(6) GeV; m_{B_c} = 6.285(10) GeV and
f_{\eta_b} = 0.667(6) GeV. Our value for f_{\eta_b} is within a few percent of
f_{\Upsilon} confirming that spin effects are surprisingly small for heavyonium
decay constants. Our value for f_{B_c} is significantly lower than potential
model values being used to estimate production rates at the LHC. We discuss the
changing physical heavy-quark mass dependence of decay constants from
heavy-heavy through heavy-charm to heavy-strange mesons. A comparison between
the three different systems confirms that the B_c system behaves in some ways
more like a heavy-light system than a heavy-heavy one. Finally we summarise
current results on decay constants of gold-plated mesons.Comment: 16 pages, 12 figure
V_cs from D_s to {\phi}l{\nu} semileptonic decay and full lattice QCD
We determine the complete set of axial and vector form factors for the Ds to
{\phi}l{\nu} decay from full lattice QCD for the first time. The valence quarks
are implemented using the Highly Improved Staggered Quark action and we
normalise the appropriate axial and vector currents fully nonperturbatively.
The q^2 and angular distributions we obtain for the differential rate agree
well with those from the BaBar experiment and, from the total branching
fraction, we obtain Vcs = 1.017(63), in good agreement with that from D to
Kl{\nu} semileptonic decay. We also find the mass and decay constant of the
{\phi} meson in good agreement with experiment, showing that its decay to
K{\bar{K}} (which we do not include here) has at most a small effect. We
include an Appendix on nonperturbative renormalisation of the complete set of
staggered vector and axial vector bilinears needed for this calculation.Comment: 19 pages, 13 figure
Precision Charmonium Spectroscopy From Lattice QCD
We present results for Charmonium spectroscopy using Non-Relativistic QCD
(NRQCD). For the NRQCD action the leading order spin-dependent and next to
leading order spin-independent interactions have been included with
tadpole-improved coefficients. We use multi-exponential fits to multiple
correlation functions to extract ground and excited states. Splittings
between the lowest , and states are given and we have accurate
values for the state hyperfine splitting and the fine structure.
Agreement with experiment is good - the remaining systematic errors are
discussed.Comment: 23 pages uuencoded latex file. Contains figures in late
Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the Ï• meson
We compare correlators for pseudoscalar and vector mesons made from valence strange quarks using the
clover quark and highly improved staggered quark (HISQ) formalisms in full lattice QCD. We use fully
nonperturbative methods to normalize vector and axial vector current operators made from HISQ quarks,
clover quarks and from combining HISQ and clover fields. This allows us to test expectations for the
renormalization factors based on perturbative QCD, with implications for the error budget of lattice QCD
calculations of the matrix elements of clover-staggered b-light weak currents, as well as further HISQ
calculations of the hadronic vacuum polarization.We also compare the approach to the (same) continuum limit
in clover and HISQ formalisms for the mass and decay constant of the Ï• meson. Our final results for these
parameters, using single-meson correlators and allowing an uncertainty for the neglect of quark-line
disconnected diagrams are: Mϕ ¼ 1.023ð6Þ GeV and fϕ ¼ 0.238ð3Þ GeV in good agreement with experiment.
The results come from calculations in the HISQ formalism using gluon fields that include the effect of u,
d, s and c quarks in the sea with three lattice spacing values and mu=d values going down to the physical point
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