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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.

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