275 research outputs found
Covariant Hamiltonian Dynamics with Negative Energy States
A relativistic quantum mechanics is studied for bound hadronic systems in the
framework of the Point Form Relativistic Hamiltonian Dynamics. Negative energy
states are introduced taking into account the restrictions imposed by a correct
definition of the Poincar\'e group generators. We obtain nonpathological,
manifestly covariant wave equations that dynamically contain the contributions
of the negative energy states. Auxiliary negative energy states are also
introduced, specially for studying the interactions of the hadronic systems
with external probes.Comment: 42 pages, submitted to EPJ
Effects due to a scalar coupling on the particle-antiparticle production in the Duffin-Kemmer-Petiau theory
The Duffin-Kemmer-Petiau formalism with vector and scalar potentials is used
to point out a few misconceptions diffused in the literature. It is explicitly
shown that the scalar coupling makes the DKP formalism not equivalent to the
Klein-Gordon formalism or to the Proca formalism, and that the spin-1 sector of
the DKP theory looks formally like the spin-0 sector. With proper boundary
conditions, scattering of massive bosons in an arbitrary mixed vector-scalar
square step potential is explored in a simple way and effects due to the scalar
coupling on the particle-antiparticle production and localization of bosons are
analyzed in some detail
Testing of CP, CPT and causality violation with the light propagation in vacuum in presence of the uniform electric and magnetic fields
We have considered the structure of the fundamental symmetry violating part
of the photon refractive index in vacuum in the presence of constant electric
and magnetic fields. This part of the refractive index can, in principle,
contain CPT symmetry breaking terms. Some of the terms violate Lorentz
invariance, whereas the others violate locality and causality. Estimates of
these effects, using laser experiments are considered.Comment: 12 page
On Equivalence of Duffin-Kemmer-Petiau and Klein-Gordon Equations
A strict proof of equivalence between Duffin-Kemmer-Petiau (DKP) and
Klein-Gordon (KG) theories is presented for physical S-matrix elements in the
case of charged scalar particles interacting in minimal way with an external or
quantized electromagnetic field. First, Hamiltonian canonical approach to DKP
theory is developed in both component and matrix form. The theory is then
quantized through the construction of the generating functional for Green
functions (GF) and the physical matrix elements of S-matrix are proved to be
relativistic invariants. The equivalence between both theories is then proved
using the connection between GF and the elements of S-matrix, including the
case of only many photons states, and for more general conditions - so called
reduction formulas of Lehmann, Symanzik, Zimmermann.Comment: 23 pages, no figures, requires macro tcilate
Semi-relativistic charge-current density operator
The charge-current density and two-photon operators consistent with a
single-particle semi-relativistic Hamiltonian are derived within a suitable
functional derivative formalism which preserves gauge invariance. An
application to electron scattering is presented and results are compared with a
fully relativistic case and the non-relativistic cases corrected through fourth
order in M^{-1}.Comment: 20 pages, 3 postscript figures, typos correcte
Exact Solution of Photon Equation in Stationary G\"{o}del-type and G\"{o}del Space-Times
In this work the photon equation (massless Duffin-Kemmer-Petiau equation) is
written expilicitly for general type of stationary G\"{o}del space-times and is
solved exactly for G\"{o}del-type and G\"{o}del space-times. Harmonic
oscillator behaviour of the solutions is discussed and energy spectrum of
photon is obtained.Comment: 9 pages,RevTeX, no figure, revised for publicatio
Poincare' invariance and the heavy-quark potential
We derive and discuss the constraints induced by Poincare' invariance on the
form of the heavy-quark potential up to order 1/m^2. We present two
derivations: one uses general arguments directly based on the Poincare' algebra
and the other follows from an explicit calculation on the expression of the
potential in terms of Wilson loops. We confirm relations from the literature,
but also clarify the origin of a long-standing false statement pointed out
recently.Comment: 20 pages, 4 figure
Spin 1 fields in Riemann-Cartan space-times "via" Duffin-Kemmer-Petiau theory
We consider massive spin 1 fields, in Riemann-Cartan space-times, described
by Duffin-Kemmer-Petiau theory. We show that this approach induces a coupling
between the spin 1 field and the space-time torsion which breaks the usual
equivalence with the Proca theory, but that such equivalence is preserved in
the context of the Teleparallel Equivalent of General Relativity.Comment: 8 pages, no figures, revtex. Dedicated to Professor Gerhard Wilhelm
Bund on the occasion of his 70th birthday. To appear in Gen. Rel. Grav.
Equations numbering corrected. References update
Design of Cationic Multi-Walled Carbon Nanotubes as Efficient siRNA Vectors for Lung Cancer Xenograft Eradication
Polo-Like Kinase (PLK1) has been identified as a potential target in cancer gene therapy via chemical or genetic inhibitory approaches. The biomedical applications of chemically functionalized carbon nanotubes (f-CNTs) in cancer therapy have been studied due to their ability to efficiently deliver siRNA intracellularly. In this study, we established the capacity of cationic MWNT-NH3+ to deliver the apoptotic siRNA against PLK1 (siPLK1) in Calu6 tumor xenografts by direct intratumoural injections. A direct comparison with cationic liposomes was made. This study validates the PLK1 gene as a potential target in cancer gene therapy including lung cancer, as demonstrated by the therapeutic efficacy of siPLK1:MWNT-NH3+ complexes and their ability to significantly improve animal survival. Biological analysis of the siPLK1:MWNT-NH3+ treated tumors by RT-PCR and Western blot, in addition to TUNEL staining confirmed the biological functionality of the siRNA intratumourally, suggesting that tumor eradication was due to PLK1 knockdown. Furthermore, by using a fluorescently labelled, non-coding siRNA sequence complexed with MWNT-NH3+, we established for the first time that the improved therapeutic efficacy observed in f-CNT-based siRNA delivery is directly proportional to the enhanced siRNA retention in the solid tumor and subsequent uptake by tumor cells after local administration in vivo
Generalized dipole polarizabilities and the spatial structure of hadrons
We present a phenomenological discussion of spin-independent, generalized
dipole polarizabilities of hadrons entering the virtual Compton scattering
process gamma* h -> gamma h. We introduce a new method of obtaining a tensor
basis with appropriate Lorentz-invariant amplitudes which are free from
kinematical singularities and constraints. We then motivate a gauge-invariant
separation into a generalized Born term containing ground-state properties
only, and a residual contribution describing the model-dependent internal
structure. The generalized dipole polarizabilities are defined in terms of
Lorentz-invariant residual amplitudes. Particular emphasis is laid on a
physical interpretation of these quantities as characterizing the spatial
distributions of the induced electric polarization and magnetization of
hadrons. It is argued that three dipole polarizabilities, namely the
longitudinal electric alpha_L(q^2), the transverse electric alpha_T(q^2), and
the magnetic beta(q^2) ones are required in order to fully reconstruct local
polarizations induced by soft external fields in a hadron. One of these
polarizabilities, alpha_T(q^2), describes an effect of higher order in the soft
final-photon momentum q'. We argue that the associated spatial distributions
obtained via the Fourier transforms in the Breit frame are meaningful even for
such a light particle as the pion. The spatial distributions are determined at
large distances r ~ 1/m_pi for pions, kaons, and octet baryons by use of ChPT.Comment: 41 pages, 5 figures, RevTex fil
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