2,088 research outputs found
The semileptonic decays of the B_c meson
We study the semileptonic transitions B_c to \eta_c, J/\psi, D, D^*, B, B^*,
B_s, B_s^* in the framework of a relativistic constituent quark model. We use
experimental data on leptonic J/\psi decay, lattice and QCD sum rule results on
leptonic B_c decay, and on radiative \eta_c transitions to adjust the quark
model parameters. We compute all form factors of the above semileptonic
B_c-transitions and give predictions for various semileptonic B_c decay modes
including their \tau-modes when they are kinematically accessible. The
implications of heavy quark symmetry for the semileptonic decays are discussed
and are shown to be manifest in our explicit relativistic quark model
calculation. A comparison of our results with the results of other calculations
is performed.Comment: 31 pages Latex (uses epsf, revtex). Section II expanded, typos
corrected. This version will appear in Phys. Rev.
Group expansions for impurities in superconductors
A new method is proposed for practical calculation of the effective
interaction between impurity scatterers in superconductors, based on algebraic
properties of related Nambu matrices for Green functions. In particular, we
show that the density of states within the s-wave gap can have a non-zero
contribution (impossible either in Born and in T-matrix approximation) from
non-magnetic impurities with concentration , beginning from order.Comment: 5 pages, 1 figur
Leptonic and Semileptonic Decays of Pseudoscalar Mesons
We employ the relativistic constituent quark model to give a unified
description of the leptonic and semileptonic decays of pseudoscalar mesons
(\pi, K, D, D_s, B, B_s). The calculated leptonic decay constants and form
factors are found to be in good agreement with available experimental data and
other approaches. We reproduce the results of spin-flavor symmetry in the heavy
quark limit.Comment: 12 pages LaTeX (elsart.sty) + 4 figures; added references, to appear
in Phys. Lett.
On the choice of heavy baryon currents in the relativistic three-quark model
We test the sensitivity of bottom baryon observables with regard to the
choice of the interpolating three-quark currents within the relativistic
three-quark model. We have found that the semileptonic decay rates are clearly
affected by the choice of currents, whereas the asymmetry parameters show only
a very weak dependence on the choice of current.Comment: revtex, 9 page
One-Pion Charm Baryon Transitions in a Relativistic Three-Quark Model
We study one-pion transitions between charm baryon states in the framework of
a relativistic three-quark model. We calculate the charm baryon-pion coupling
factors that govern the S-wave, P-wave and D-wave one-pion transitions from the
s-wave and the lowest lying p-wave charm baryon states down to the s-wave charm
baryon states. For these we obtain: g_{\Sigma_c\Lambda_c\pi}=8.88 GeV^{-1},
f_{\Lambda_{c1}\Sigma_c\pi}=0.52 and f_{\Lambda_{c1}^*\Sigma_c\pi}=21.5
GeV^{-2}. We compare our rate predictions for the one-pion transitions with
experimental results.Comment: 12 pages, LaTeX-fil
Higher Spin Fields in Siegel Space, Currents and Theta Functions
Dynamics of four-dimensional massless fields of all spins is formulated in
the Siegel space of complex symmetric matrices. It is shown that
the unfolded equations of free massless fields, that have a form of
multidimensional Schrodinger equations, naturally distinguish between positive-
and negative-frequency solutions of relativistic field equations, i.e.
particles and antiparticles. Multidimensional Riemann theta functions are shown
to solve massless field equations in the Siegel space. We establish the
correspondence between conserved higher-spin currents in four-dimensional
Minkowski space and those in the ten-dimensional matrix space. It is shown that
global symmetry parameters of the current in the matrix space should be
singular to reproduce a nonzero current in Minkowski space. The \D-function
integral evolution formulae for 4d massless fields in the Fock-Siegel space are
obtained. The generalization of the proposed scheme to higher dimensions and
systems of higher ranks is considered.Comment: LaTeX, 38 pages, v.3: clarifications, acknowledgements and references
added, typos corrected, v.4: more comments and references added, typos
corrected, the version to appear in JHE
Semileptonic B decays into even parity charmed mesons
By using a constituent quark model we compute the form factors relevant to
semileptonic transitions of B mesons into low-lying p-wave charmed mesons. We
evaluate the q^2 dependence of these form factors and compare them with other
model calculations. The Isgur-Wise functions tau(1/2) and tau(3/2) are also
obtained in the heavy quark limit of our results.Comment: 11 pages, 2 figure
Many-Body Superconformal Systems from Hamiltonian Reductions
We propose a new reduction mechanism which allows one to construct n-particle
(super)conformal theories with pairwise interaction starting from a composite
system involving n(n-1)/2+1 copies of the ordinary (super)conformal mechanics.
Applications of the scheme include an N=4 superconformal extension for a
complexification of the Calogero model and a D(2,1|\alpha)-invariant n-particle
system.Comment: 12 pages, no figures. v2: Title changed. New material and
acknowledgements adde
Pion and sigma meson properties in a relativistic quark model
A variety of strong and electroweak interaction properties of the pion and
the light scalar sigma meson are computed in a relativistic quark model. Under
the assumption that the resulting coupling of these mesons to the constituent
quarks is identical, the sigma meson mass is determined as M_sigma=385.4 MeV.
We discuss in detail the gauging of the non-local meson-quark interaction and
calculate the electromagnetic form factor of the pion and the form factors of
the pi(0) -> gamma gamma and sigma -> gamma gamma processes. We obtain explicit
expressions for the relevant form factors and evaluate the leading and
next-to-leading orders for large Euclidean photon virtualities. Turning to the
decay properties of the sigma we determine the width of the electromagnetic
sigma -> gamma gamma transition and discuss the strong decay sigma -> pi pi. In
a final step we compute the nonleptonic decays D -> sigma pi and B -> sigma pi
relevant for the possible observation of the sigma meson. All our results are
compared to available experimental data and to results of other theoretical
studies.Comment: 46 page
Flavourful hadronic physics
We review theoretical approaches to form factors that arise in heavy-meson
decays and are hadronic expressions of non-perturbative QCD. After motivating
their origin in QCD factorisation, we retrace their evolution from quark-model
calculations to non-perturbative QCD techniques with an emphasis on
formulations of truncated heavy-light amplitudes based upon Dyson-Schwinger
equations. We compare model predictions exemplarily for the B\to\pi transition
form factor and discuss new results for the g_{D*D\pi} coupling in the hadronic
D* decay.Comment: Based on a talk given at Light Cone 2009: Relativistic Hadronic And
Particle Physics, 8-13 July 2009, Sao Jose dos Campos, Sao Paulo, Brazi
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