Sessions - DPG-Tagungen
Sessions - DPG-Tagungen
Sessions - DPG-Tagungen
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Nuclear Physics Monday<br />
ing, thus extending earlier work [1]. We present compact formulae that<br />
can be used for the chiral extrapolation of lattice simulations, that usually<br />
work at higher quark (meson) masses [2]. As a by-product, we also<br />
construct the complete fourth order meson-baryon Lagrangian for three<br />
HK 6 Theory II<br />
flavors with all possibel external sources.<br />
[1] B. Borasoy and U.-G. Meißner, Ann. Phys. 254 (1997 )192-232<br />
[2] M. Frink and U.-G. Meißner, in preparation<br />
Time: Monday 15:45–18:45 Room: E<br />
Group Report HK 6.1 Mon 15:45 E<br />
Fermi-liquid theory of quark matter at high densities — •Kai<br />
Hebeler and Bengt Friman — Gesellschaft für Schwerionenforschung,<br />
64291 Darmstadt, Planckstr. 1<br />
We explore the Fermi-liquid properties of ultrarelavistic electron and<br />
quark systems at zero temperature and high baryon densities. Contributions<br />
to the effective interaction due to the polarisation of the medium<br />
are computed in the random-phase-approximation. As is well known, the<br />
lack of screening for transverse gauge bosons implies that the quasiparticle<br />
strength vanishes for states at the Fermi surface, and consequently<br />
that such a system formally is not a normal Fermi liquid. However, since<br />
the corresponding singularity is logarithmic, the normal Fermi-liquid behaviour<br />
is restored at minimal temperatures. The corresponding Fermiliquid<br />
parameters, including spin, flavour and colour degrees of freedom<br />
are presented. An appropriately modified Fermi-liquid approach could be<br />
relevant for the description of a possible colour-superconducting phase.<br />
Group Report HK 6.2 Mon 16:15 E<br />
Point-Form Dynamics of Relativistic Few-Body Sytems —<br />
•Wolfgang Schweiger 1 , Marcus Lechner 1 , William H.<br />
Klink 2 , and Andreas Krassnigg 3 — 1 Inst. Theor. Physik, Univ.<br />
Graz, Graz, Austria — 2 Dept. Physics and Astr., Univ. of Iowa, Iowa<br />
City, USA — 3 Argonne National Lab., Argonne, USA<br />
The general problem of formulating relativistic quantum mechanics for<br />
a fixed number of particles goes back to the pioneering work of Dirac in<br />
which he suggested three different forms of relativistic dynamics, i.e. the<br />
instant form, the front form, and the point form. These forms differ by<br />
the set of Poincarè generators which are interaction dependent. Although<br />
it has a number of advantages, the point form has been the least used and<br />
is the most unfamiliar of the three forms. Our contribution deals with<br />
a point-form formulation of relativistic few-body systems. We present a<br />
relativistic, Poincarè invariant coupled-channel formalism for few-body<br />
systems interacting via one-particle exchange. Our approach takes the<br />
exchange particle explicitly into account and relates the coupling of the<br />
exchange particle to an underlying quantum field theory. As illustrative<br />
examples we will present vector mesons within the chiral constituent<br />
quark model and electromagnetically bound systems like hydrogen and<br />
positronium. The vector-meson system allows us to study the effect of<br />
retardation in the Goldstone-boson exchange. The investigation of hydrogen<br />
and positronium serves as a test of the point-form approach for<br />
well studied QED systems and reveals the relation between point-form<br />
and instant-form dynamics.<br />
HK 6.3 Mon 16:45 E<br />
Particle production in space-time dependent fields — •Dennis<br />
Dietrich — Laboratoire de Physique Théorique, Bâtiment 210, Université<br />
Paris XI, 91405 Orsay Cedex, France<br />
The exact retarded propagators of particles in classical space-time dependent<br />
gauge fields is derived by solving the equations of motion for<br />
the Green’s functions with corresponding boundary conditions. From<br />
the retarded propagators obtained in this way, the momentum spectrum<br />
for pairs produced by vacuum polarisation is calculated. Different approximations<br />
and the exact solution for the Green’s functions and the<br />
momentum spectra are presented.<br />
HK 6.4 Mon 17:00 E<br />
Fermionic Casimir Effect: Cavities Interact in the Fermi Sea<br />
— •Andreas Wirzba 1 and Aurel Bulgac 2 — 1 Universität Bonn,<br />
HISKP(Theorie), Nussallee 14-16, 53115 Bonn — 2 Department of<br />
Physics, University of Washington, Seattle WA 98195-1560, USA<br />
We report about a new force that acts on cavities (literally empty<br />
regions of space) when they are immersed in a background of noninteracting<br />
fermionic matter fields. The interaction follows from the<br />
obstructions to the (quantum mechanical) motions of the fermions in<br />
the Fermi sea caused by the presence of bubbles or other (heavy) particles<br />
immersed in the latter, as e.g. nuclei in the neutron sea in the crust<br />
of a neutron star.<br />
This effect resembles the traditional Casimir effect which describes<br />
the attraction between two parallel metallic mirrors in vacuum. Here,<br />
however, the fluctuating (bosonic) electromagnetic fields are replaced by<br />
real fermionic fields, the Casimir energy is inferred from the geometrydependent<br />
part of the density of states, and its sign is not fixed, but varies<br />
according to the relative arrangement and distances of the cavities.<br />
This topic is relevant to the physics of neutron star crusts (nuclei embedded<br />
in a neutron gas), to inhomogeneous phases in the quark-gluon<br />
plasma, to dilute Bose-Einstein-condensate bubbles inside the background<br />
of a Fermi-Dirac condensate, to buckyballs in liquid mercury,<br />
to superconducting droplets in a Fermi liquid, etc.<br />
This work is supported under Contract 41445400 (COSY-067) of the<br />
Forschungszentrum Jülich GmbH.<br />
HK 6.5 Mon 17:15 E<br />
Semileptonic Decays of Baryons in a Covariant Quark<br />
Model — •Sascha Migura, Dirk Merten, Bernard Metsch,<br />
and Herbert-R. Petry — Helmholtz-Institut für Strahlen- und<br />
Kernphyik, Abteilung Theorie, Nußallee 14-16, D-53115 Bonn<br />
We are calculating semileptonic decays of baryons in a relativistic covariant<br />
constituent-quark model which is based on the Bethe-Salpeterequation<br />
in instantaneous approximation. This model generates mass<br />
spectra for mesons and baryons up to the highest observable energies.<br />
Without introducing additional free parameters we compute on this<br />
basis helicity amplitudes of semileptonic decays. We thus obtain decay<br />
widths for semileptonic decays in good agreement with experiment.<br />
HK 6.6 Mon 17:30 E<br />
Static properties of baryons in the Bethe-Salpter framework<br />
— •Christian Haupt, Ulrich Löring, Bernard Metsch, and<br />
Herbert-R. Petry — Helmholtz-Institut für Strahlen- und Kernphysik,<br />
Abteilung Theorie, Nußallee 14-16, D-53115 Bonn<br />
We derive a method, to compute static properties (e. g. magnetic<br />
moments and charge radii) of baryons from the Bethe-Salpeter equation<br />
in the instantaneous approximation. This is usually done by taking the<br />
limit of some form factor. We develop instead a new approach, which expresses<br />
the static moments as expectation values of appropriate operators<br />
with respect to Salpeter amplitudes.<br />
We discuss the analytic derivation of these expecation values, show the<br />
numerical results and compare them to experiment.<br />
HK 6.7 Mon 17:45 E<br />
Hyperon-nucleon Dirac-Brueckner calculations — •Christoph<br />
Keil and Horst Lenske — Institut für Theoretische Physik, Universität<br />
Giessen, 35392 Giessen, Germany<br />
We present a model for the calculation of relativistic effective inmedium<br />
interactions for NN and YN scattering. The model is based on<br />
the covariant meson exchange formalism of the Bonn potentials which<br />
are extended to also include the octet hyperons as well as the lowest<br />
three meson octets, accounting for pseudoscalar, vector and scalar interactions.<br />
The decomposition of the G-matrix, for which we have to use<br />
an enlarged set of invariants, is discussed. For the decomposition also<br />
the half off-shell amplitudes are utilized which removes the ambiguities<br />
in this process. We will present first results for the application of our effective<br />
Λ-N interaction to single Λ hypernuclei calculated in the density<br />
dependent relativistic hadron field theory DDRH.<br />
Work supported by the European graduate school Giessen–Copenhagen.