1,277 research outputs found
Form factors of heavy-light systems in point-form relativistic quantum mechanics: the Isgur-Wise function
We investigate electromagnetic and weak form factors of heavy-light mesons in
the context of point-form relativistic quantum mechanics. To this aim we treat
the physical processes from which such electroweak form factors are extracted
by means of a coupled channel approach which accounts for the dynamics of the
intermediate gauge bosons. It is shown that heavy-quark symmetry is respected
by this formulation. A simple analytical expression is obtained for the
Isgur-Wise function in the heavy-quark limit. Breaking of heavy-quark symmetry
due to realistic values of the heavy-quark mass are studied numerically.Comment: Presented at the 21st European Conference on Few-Body Problems in
Physics, Salamanca, Spain, 30 August - 3 September 201
Point-form quantum field theory and meson form factors
We shortly review point-form quantum field theory, i.e. the canonical
quantization of a relativistic field theory on a Lorentz-invariant surface of
the form . As an example of how point-form quantum field
theory may enter the framework of relativistic quantum mechanics we discuss the
calculation of the electromagnetic form factor of a confined quark-antiquark
pair (e.g. the pion).Comment: 3 pages, 2 figures. Based on a talk presented by W. Schweiger at the
20th European Conference on Few-Body Problems in Physics, September 10-14
2007, Pisa, Ital
Comparison of Different Boost Transformations for the Calculation of Form Factors in Relativistic Quantum Mechanics
The effect of different boost expressions, pertinent to the instant, front
and point forms of relativistic quantum mechanics, is considered for the
calculation of the ground-state form factor of a two-body system in simple
scalar models. Results with a Galilean boost as well as an explicitly covariant
calculation based on the Bethe-Salpeter approach are given for comparison. It
is found that the present so-called point-form calculations of form factors
strongly deviate from all the other ones. This suggests that the formalism
which underlies them requires further elaboration. A proposition in this sense
is made.Comment: Invited talk given at the 18th European Conference on Few-Body
Problems in Physics, Bled, Slovenia, 8-14 Sep 2002. Submitted to Few Body
Syst.Supp
Relativistic quantum mechanics: A Dirac's point-form inspired approach
This paper describes a tentative relativistic quantum mechanics approach
inspired by Dirac's point-form, which is based on the physics description on a
hyperboloid surface. It is mainly characterized by a non-standard relation of
the constituent momenta of some system to its total momentum. Contrary to
instant- and front-form approaches, where it takes the form of a 3-dimensional
delta function, the relation is given here by a Lorentz-scalar constraint.
Thus, in the c.m. frame, the sum of the constituent momenta, which differs from
zero off-energy shell, has no fixed direction, in accordance with the absence
of preferred direction on a hyperboloid surface. To some extent, this gives
rise to an extra degree of freedom entering the description of the system of
interest. The development of a consistent formalism within this picture is
described. Comparison with other approaches is made.Comment: 26 pages, 3 figures, to be submitte
Vector mesons in a relativistic point-form approach
We apply the point form of relativistic quantum mechanics to develop a
Poincare invariant coupled-channel formalism for two-particle systems
interacting via one-particle exchange. This approach takes the exchange
particle explicitly into account and leads to a generalized eigenvalue equation
for the Bakamjian-Thomas type mass operator of the system. The coupling of the
exchange particle is derived from quantum field theory. As an illustrative
example we consider vector mesons within the chiral constituent quark model in
which the hyperfine interaction between the confined quark-antiquark pair is
generated by Goldstone-boson exchange. We study the effect of retardation in
the Goldstone-boson exchange by comparing with the commonly used instantaneous
approximation. As a nice physical feature we find that the problem of a too
large - splitting can nearly be avoided by taking the dynamics of
the exchange meson explicitly into account.Comment: 14 pages, 1 figur
Electromagnetic meson form factor from a relativistic coupled-channel approach
Point-form relativistic quantum mechanics is used to derive an expression for
the electromagnetic form factor of a pseudoscalar meson for space-like momentum
transfers. The elastic scattering of an electron by a confined quark-antiquark
pair is treated as a relativistic two-channel problem for the and
states. With the approximation that the total velocity of the
system is conserved at (electromagnetic) interaction vertices this
simplifies to an eigenvalue problem for a Bakamjian-Thomas type mass operator.
After elimination of the channel the electromagnetic meson
current and form factor can be directly read off from the one-photon-exchange
optical potential. By choosing the invariant mass of the electron-meson system
large enough, cluster separability violations become negligible. An equivalence
with the usual front-form expression, resulting from a spectator current in the
reference frame, is established. The generalization of this
multichannel approach to electroweak form factors for an arbitrary bound
few-body system is quite obvious. By an appropriate extension of the Hilbert
space this approach is also able to accommodate exchange-current effects.Comment: 30 pages, 5 figure
The experiences of children with disabilities and primary caregivers on the social inclusion of children with disabilities in Ethiopia
This article presents the findings of a qualitative study on the social inclusion of children with disabilities in Addis Ababa, Ethiopia and how this affects their achievement of valued life goals. The study is based on focus group discussions with children with disabilities and primary caregivers of such children. The thematic analysis is based on family quality of life and the capability approach, which are used to explain the effects of social inclusion (and exclusion) on children with disabilities and their families in three areas of quality of life: being, belonging, and becoming. The study also looked at how the social inclusion of children with disabilities can be actualised. The results of the study confirm the existence of considerable challenges to the social inclusion of children with disabilities in Addis Ababa, which is reflected in their capabilities. The results suggest that children with disabilities need assistance and support to achieve a good quality of life. They also indicate the need for the involvement of the wider community to support children with disabilities and their families to enhance the capability of such children, and so improve their family quality of life
Faddeev approach to confined three-quark problems
We propose a method that allows for the efficient solution of the three-body
Faddeev equations in the presence of infinitely rising confinement
interactions. Such a method is useful in calculations of nonrelativistic and
especially semirelativistic constituent quark models. The convergence of the
partial wave series is accelerated and possible spurious contributions in the
Faddeev components are avoided. We demonstrate how the method works with the
example of the Goldstone-boson-exchange chiral quark model for baryons.Comment: 6 page
- …