456 research outputs found
Properties of heavy quarkonia and B_c mesons in the relativistic quark model
The mass spectra and electromagnetic decay rates of charmonium, bottomonium
and B_c mesons are comprehensively investigated in the relativistic quark
model. The presence of only heavy quarks allows the expansion in powers of
their velocities. All relativistic corrections of order v^2/c^2, including
retardation effects and one-loop radiative corrections, are systematically
taken into account in the computations of the mass spectra. The obtained wave
functions are used for the calculation of radiative magnetic dipole (M1) and
electric dipole (E1) transitions. It is found that relativistic effects play a
substantial role. Their account and the proper choice of the Lorentz structure
of the quark-antiquark interaction in a meson is crucial for bringing
theoretical predictions in accord with experimental data. A detailed comparison
of the calculated decay rates and branching fractions with available
experimental data for radiative decays of charmonium and bottomonium is
presented. The possibilities to observe the currently missing spin-singlet S
and P states as well as D states in bottomonium are discussed. The results for
B_c masses and decays are compared with other quark model predictions.Comment: 31 pages, 2 figures, minor correction
Quark-antiquark potential with retardation and radiative contributions and the heavy quarkonium mass spectra
The charmonium and bottomonium mass spectra are calculated with the
systematic account of all relativistic corrections of order v^2/c^2 and the
one-loop radiative corrections. Special attention is paid to the contribution
of the retardation effects to the spin-independent part of the quark-antiquark
potential, and a general approach to accounting for retardation effects in the
long-range (confining) part of the potential is presented. A good fit to
available experimental data on the mass spectra is obtained.Comment: 20 pages, revtex, 2 Postscript figure
Tuning the Non-local Spin-Spin Interaction between Quantum Dots with a Magnetic Field
We describe a device where the non-local spin-spin interaction between two
quantum dots can be turned on and off and even changed sign with a very small
magnetic field. The setup consists of two quantum dots at the edge of two
two-dimensional electron gases (2DEGs). The quantum dots' spins are coupled
through a RKKY-like interaction mediated by the electrons in the 2DEGs. A small
magnetic field perpendicular to the plane of the 2DEG is used as a tuning
parameter. When the cyclotron radius is commensurate with the interdot
distance, the spin-spin interaction is amplified by a few orders of magnitude.
The sign of the interaction is controlled by finely tuning the magnetic field.
Our setup allows for several dots to be coupled in a linear arrangement and it
is not restricted to nearest-neighbors interaction.Comment: 4 pages, 5 figures. Published versio
LCG MCDB -- a Knowledgebase of Monte Carlo Simulated Events
In this paper we report on LCG Monte Carlo Data Base (MCDB) and software
which has been developed to operate MCDB. The main purpose of the LCG MCDB
project is to provide a storage and documentation system for sophisticated
event samples simulated for the LHC collaborations by experts. In many cases,
the modern Monte Carlo simulation of physical processes requires expert
knowledge in Monte Carlo generators or significant amount of CPU time to
produce the events. MCDB is a knowledgebase mainly dedicated to accumulate
simulated events of this type. The main motivation behind LCG MCDB is to make
the sophisticated MC event samples available for various physical groups. All
the data from MCDB is accessible in several convenient ways. LCG MCDB is being
developed within the CERN LCG Application Area Simulation project
Rare radiative B decays to orbitally excited K mesons
The exclusive rare radiative B meson decays to orbitally excited axial-vector
mesons K_1^*(1270), K_1(1400) and to the tensor meson K_2^*(1430) are
investigated in the framework of the relativistic quark model based on the
quasipotential approach in quantum field theory. These decays are considered
without employing the heavy quark expansion for the s quark. Instead the s
quark is treated to be light and the expansion in inverse powers of the large
recoil momentum of the final K^{**} meson is used to simplify calculations. It
is found that the ratio of the branching fractions of rare radiative B decays
to axial vector K^*_1(1270) and K_1(1400) mesons is significantly influenced by
relativistic effects. The obtained results for B decays to the tensor meson
K_2^*(1430) agree with recent experimental data from CLEO.Comment: 17 pages, revte
Collective modes for an array of magnetic dots in the vortex state
The dispersion relations for collective magnon modes for square-planar arrays
of vortex-state magnetic dots, having closure magnetic flux are calculated. The
array dots have no direct contact between each other, and the sole source of
their interaction is the magnetic dipolar interaction. The magnon formalism
using Bose operators along with translational symmetry of the lattice, with the
knowledge of mode structure for the isolated dot, allows the diagonalization of
the system Hamiltonian giving the dispersion relation. Arrays of vortex-state
dots show a large variety of collective mode properties, such as positive or
negative dispersion for different modes. For their description, not only
dipolar interaction of effective magnetic dipoles, but non-dipolar terms common
to higher multipole interaction in classical electrodynamics can be important.
The dispersion relation is shown to be non-analytic as the value of the
wavevector approaches zero for all dipolar active modes of the single dot. For
vortex-state dots the interdot interaction is not weak, because, the dynamical
part (in contrast to the static magnetization of the vortex state) dot does not
contain the small parameter, the ratio of vortex core size to the dot radius.
This interaction can lead to qualitative effects like the formation of modes of
angular standing waves instead of modes with definite azimuthal number known
for the insolated vortex state dot
Exclusive semileptonic B decays to radially excited D mesons
Exclusive semileptonic B decays to radially excited charmed mesons are
investigated at the first order of the heavy quark expansion. The arising
leading and subleading Isgur-Wise functions are calculated in the framework of
the relativistic quark model. It is found that the 1/m_Q corrections play an
important role and substantially modify results. An interesting interplay
between different corrections is found. As a result the branching ratio for the
B-> D'e\nu decay is essentially increased by 1/m_Q corrections, while the one
for B-> D*'e\nu is only slightly influenced by them.Comment: 19 pages, revtex, 6 figures, uses rotating.st
Supersymmetry, quark confinement and the harmonic oscillator
We study some quantum systems described by noncanonical commutation relations
formally expressed as [q,p]=ihbar(I + chi H), where H is the associated
(harmonic oscillator-like) Hamiltonian of the system, and chi is a Hermitian
(constant) operator, i.e. [H,chi]=0 . In passing, we also consider a simple
(chi=0 canonical) model, in the framework of a relativistic Klein-Gordon-like
wave equation.Comment: To be published in Journal of Physics A: Mathematical and Theoretical
(2007
Nonlinear viscosity and velocity distribution function in a simple longitudinal flow
A compressible flow characterized by a velocity field is
analyzed by means of the Boltzmann equation and the Bhatnagar-Gross-Krook
kinetic model. The sign of the control parameter (the longitudinal deformation
rate ) distinguishes between an expansion () and a condensation ()
phenomenon. The temperature is a decreasing function of time in the former
case, while it is an increasing function in the latter. The non-Newtonian
behavior of the gas is described by a dimensionless nonlinear viscosity
, that depends on the dimensionless longitudinal rate . The
Chapman-Enskog expansion of in powers of is seen to be only
asymptotic (except in the case of Maxwell molecules). The velocity distribution
function is also studied. At any value of , it exhibits an algebraic
high-velocity tail that is responsible for the divergence of velocity moments.
For sufficiently negative , moments of degree four and higher may diverge,
while for positive the divergence occurs in moments of degree equal to or
larger than eight.Comment: 18 pages (Revtex), including 5 figures (eps). Analysis of the heat
flux plus other minor changes added. Revised version accepted for publication
in PR
Observation of the ^1P_1 State of Charmonium
The spin-singlet P-wave state of charmonium, hc(1P1), has been observed in
the decay psi(2S) -> pi0 hc followed by hc -> gamma etac. Inclusive and
exclusive analyses of the M(hc) spectrum have been performed. Two complementary
inclusive analyses select either a range of energies for the photon emitted in
hc -> gamma etac or a range of values of M(etac). These analyses, consistent
with one another within statistics, yield M(h_c) =[3524.9 +/- 0.7 (stat) +/-
0.4 (sys)]MeV/c^2 and a product of the branching ratios B_psi(psi(2S) -> pi0
hc) x B_h(hc -> gamma etac) = [3.5 +/- 1.0 (stat) +/- 0.7 (sys)] x 10^{-4}.
When the etac is reconstructed in seven exclusive decay modes, 17.5 +/- 4.5 hc
events are seen with an average mass M(hc) = [3523.6 +/- 0.9 (stat) +/- 0.5
(sys)] MeV/c^2, and B_psi x B_h = [5.3 +/- 1.5 (stat) +/- 1.0 (sys)] x 10^{-4}.
Because the inclusive and exclusive data samples are largely independent they
are combined to yield an overall mass M(hc) = [3524.4 +/- 0.6 (stat) +/- 0.4
(sys)]MeV/c^2 and product of branching ratios B_psi x B_h = [4.0 +/- 0.8 (stat)
+/- 0.7 (sys)] x 10^{-4}. The hc mass implies a P-wave hyperfine splitting
Delta M_{HF}(1P) \equiv M(1^3P)-M(1^1P_1) = [1.0 +/- 0.6 (stat) +/- 0.4 (sys)]
MeV/c^2.Comment: 38 pages postscript,also available through
http://www.lns.cornell.edu/public/CLNS/2005/, Submitted to PR
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