18,581 research outputs found
Nuclear Force from Lattice QCD
The first lattice QCD result on the nuclear force (the NN potential) is
presented in the quenched level. The standard Wilson gauge action and the
standard Wilson quark action are employed on the lattice of the size 16^3\times
24 with the gauge coupling beta=5.7 and the hopping parameter kappa=0.1665. To
obtain the NN potential, we adopt a method recently proposed by CP-PACS
collaboration to study the pi pi scattering phase shift. It turns out that this
method provides the NN potentials which are faithful to those obtained in the
analysis of NN scattering data. By identifying the equal-time Bethe-Salpeter
wave function with the Schroedinger wave function for the two nucleon system,
the NN potential is reconstructed so that the wave function satisfies the
time-independent Schroedinger equation. In this report, we restrict ourselves
to the J^P=0^+ and I=1 channel, which enables us to pick up unambiguously the
``central'' NN potential V_{central}(r). The resulting potential is seen to
posses a clear repulsive core of about 500 MeV at short distance (r < 0.5 fm).
Although the attraction in the intermediate and long distance regions is still
missing in the present lattice set-up, our method is appeared to be quite
promising in reconstructing the NN potential with lattice QCD.Comment: A talk given at the XXIV International Symposium on Lattice Field
Theory (Lattice2006), Tucson, Arizona, USA, July 23-28, 2006, 3 figures,
7page
Flows to Schrodinger Geometries
We construct RG flow solutions interpolating AdS and Schrodinger geometries
in Abelian Higgs models obtained from consistent reductions of type IIB
supergravity and M-theory. We find that z=2 Schrodinger geometries can be
realized at the minima of scalar potentials of these models, where a scalar
charged under U(1) gauge symmetry obtains a nonzero vacuum expectation value.
The RG flows are induced by an operator deformation of the dual CFT. The flows
are captured by fake superpotentials of the theories.Comment: 19 pages, 5 figures, v2: typos corrected, references added, published
version in PR
Momentum-resolved charge excitations in high-Tc cuprates studied by resonant inelastic x-ray scattering
We report a Cu K-edge resonant inelastic x-ray scattering (RIXS) study of
high-Tc cuprates. Momentum-resolved charge excitations in the CuO2 plane are
examined from parent Mott insulators to carrier-doped superconductors. The Mott
gap excitation in undoped insulators is found to commonly show a larger
dispersion along the [pi,pi] direction than the [pi,0] direction. On the other
hand, the resonance condition displays material dependence. Upon hole doping,
the dispersion of the Mott gap excitation becomes weaker and an intraband
excitation appears as a continuum intensity below the gap at the same time. In
the case of electron doping, the Mott gap excitation is prominent at the zone
center and a dispersive intraband excitation is observed at finite momentum
transfer
Spin 3/2 Penta-quarks in anisotropic lattice QCD
A high-precision mass measurement for the pentaquark (5Q) Theta^+ in
J^P=3/2^{\pm} channel is performed in anisotropic quenched lattice QCD using a
large number of gauge configurations as N_{conf}=1000. We employ the standard
Wilson gauge action at beta=5.75 and the O(a) improved Wilson (clover) quark
action with kappa=0.1210(0.0010)0.1240 on a 12^3 \times 96 lattice with the
renormalized anisotropy as a_s/a_t = 4. The Rarita-Schwinger formalism is
adopted for the interpolating fields. Several types of the interpolating fields
with isospin I=0 are examined such as (a) the NK^*-type, (b) the
(color-)twisted NK^*-type, (c) a diquark-type. The chiral extrapolation leads
to only massive states, i.e., m_{5Q} \simeq 2.1-2.2 GeV in J^P=3/2^- channel,
and m_{5Q} = 2.4-2.6 GeV in J^P=3/2^+ channel. The analysis with the hybrid
boundary condition(HBC) is performed to investigate whether these states are
compact 5Q resonances or not. No low-lying compact 5Q resonance states are
found below 2.1GeV.Comment: 15 pages, 6 figures, 4 table
Gate-controlled generation of optical pulse trains using individual carbon nanotubes
We report on optical pulse-train generation from individual air-suspended
carbon nanotubes under an application of square-wave gate voltages.
Electrostatically-induced carrier accummulation quenches photoluminescence,
while a voltage sign reversal purges those carriers, resetting the nanotubes to
become luminescent temporarily. Frequency domain measurements reveal
photoluminescence recovery with characteristic frequencies that increase with
excitation laser power, showing that photoexcited carriers quench the emission
in a self-limiting manner. Time-resolved measurements directly confirm the
presence of an optical pulse train sychronized to the gate voltage signal, and
flexible control over pulse timing and duration is demonstrated.Comment: 4 pages, 4 figure
Stark effect of excitons in individual air-suspended carbon nanotubes
We investigate electric-field induced redshifts of photoluminescence from
individual single-walled carbon nanotubes. The shifts scale quadratically with
field, while measurements with different excitation powers and energies show
that effects from heating and relaxation pathways are small. We attribute the
shifts to the Stark effect, and characterize nanotubes with different
chiralities. By taking into account exciton binding energies for air-suspended
tubes, we find that theoretical predictions are in quantitative agreement.Comment: 4 pages, 3 figure
Optimal control of the propagation of a graph in inhomogeneous media
We study an optimal control problem for viscosity solutions of a HamiltonâJacobi equation describing the propagation of a one-dimensional graph with the control being the speed function. The existence of an optimal control is proved together with an approximate controllability result in the -norm. We prove convergence of a discrete optimal control problem based on a monotone finite difference scheme and describe some numerical results
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