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Monday, March 11, 2002 - DPG-Tagungen

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Nuclear Physics <strong>Monday</strong><br />

sition form factors. The dilepton decay rates of the nucleon resonances<br />

with masses below 2 GeV are estimated using the extended vector meson<br />

dominance model for the transition form factors. The model provides a<br />

unified description of the photo- and electroproduction data, the vector<br />

meson decays, and the dilepton decays. The constraints on the transition<br />

form factors from the quark counting rules are taken into account.<br />

The parameters of the model are fixed by fitting the available photo- and<br />

electroproduction data and using results of the multichannel partial-wave<br />

analysis of the πN scattering. The vector meson coupling constants of<br />

the magnetic, electric, and Coulomb types are determined. The dilepton<br />

widths and the dilepton spectra from decays of nucleon resonances with<br />

masses below 2 GeV are calculated [1,2]. The results are used to model<br />

the dilepton spectra in proton-proton, proton-deuteron, and heavy-ion<br />

collisions.<br />

[1] M.I. Krivoruchenko, Amand Faessler: Phys.Rev. D 65, 017502 (<strong>2002</strong>).<br />

[2] M.I. Krivoruchenko, B.V. Martemyanov, Amand Faessler, C. Fuchs:<br />

submitted to Ann.Phys. (N.Y.), nucl-th/0<strong>11</strong>0066.<br />

HK 2.5 Mon 18:00 A<br />

Color-Flavor Unlocking and Phase Structure of Strongly Interacting<br />

Matter — •Michael Buballa 1,2 , Jǐri Hǒsek 3 ,andMicaela<br />

Oertel 4 — 1 IKP, TU Darmstadt, Darmstadt, Germany — 2 GSI, Darmstadt,<br />

Germany — 3 Dept. Theor. Phys., ˇ Reˇz (Prague), Czech Republik<br />

— 4 IPN-Lyon, Villeurbanne, France<br />

At low temperatures and high densities strongly interacting matter<br />

is expected to be a color superconductor. One can distinguish at least<br />

two different superconducting phases, the two-flavor color superconductor<br />

(2SC) and the so-called color-flavor locked (CFL) phase, which incorporates<br />

three quark flavors. We calculate the phase diagram within a<br />

3-flavor NJL-type quark model with realistic quark masses. The model<br />

exhibits spontaneous chiral symmetry breaking as well as diquark condensation<br />

in the 2SC phase and in the CFL phase. We investigate the colorflavor<br />

unlocking phase transition, taking into account self-consistently<br />

calculated effective quark masses. We find that it is mainly triggered by<br />

a first-order phase transition with respect to the strange quark mass. It<br />

takes place at a relatively high value of the chemical potential such that<br />

we find a large region where the 2SC phase is the most favored state.<br />

We also investigate the possible existence of more “exotic” phases, like<br />

unisotropic condensates. It turns out that the relevance of such condensates<br />

is strongly parameter dependent. This leaves room for surprises.<br />

HK 2.6 Mon 18:15 A<br />

Dispersion relations in real and virtual Compton scattering<br />

— •Marc Vanderhaeghen 1 , Dieter Drechsel 1 , Michael<br />

Gorchtein 1 , Andreas Metz 2 , and Barbara Pasquini 3 —<br />

1 Johannes Gutenberg University Mainz — 2 Vrije Universteit Amsterdam<br />

— 3 ECT* Trento<br />

A unified presentation is given of the use of dispersion relations in<br />

the real and virtual Compton scattering processes off the nucleon. It<br />

is reviewed how for Compton scattering, dispersion relations establish a<br />

connection between low energy nucleon structure quantities such as its<br />

HK3 Nuclear Physics / Spectroscopy I<br />

polarizabilities on the one hand and the nucleon excitation spectrum on<br />

the other hand. Various types of dispersion relations are subsequently<br />

discussed for the real Compton scattering (RCS) process as a tool to extract<br />

nucleon polarizabilities from RCSdata and the present knowledge<br />

on the nucleon polarizabilities obtained in this way is reviewed [1]. Subsequently,<br />

we present the extension of the dispersion relation formalism<br />

to the virtual Compton scattering (VCS) process as a tool to extract<br />

generalized polarizabilities of the nucleon [2]. The information on generalized<br />

nucleon polarizabilities as extracted in this way from recent VCS<br />

experiments is reviewed in particular in view of new JLab VCSdata for<br />

photon virtualities Q 2 in the range 1 - 2 GeV 2 .<br />

[1] D. Drechsel, B. Pasquini and M. Vanderhaeghen, in preparation<br />

[2] B. Pasquini et al., Eur.Phys.J.A <strong>11</strong> (2001) 185.<br />

HK 2.7 Mon 18:30 A<br />

Thermodynamics of the chiral condensate — •Thomas<br />

M. Schwarz, Norbert Kaiser, and Wolfram Weise —<br />

Physik-Department, Technische Universität München.<br />

We study the temperature and density dependence of the scalar quark<br />

condensate 〈¯qq〉 using effective field theory methods. Nucleons interact<br />

via perturbative chiral pion exchange and scalar plus vector four-point<br />

interactions. The latter are treated in relativistic mean field approximation<br />

giving rise to an effective nucleon mass M ∗ and an effective chemical<br />

potential µ ∗ . Contributions from pion fluctuations at two-loop level are<br />

included in the self consistency equations for M ∗ and µ ∗ . The strengths<br />

of the contact interactions are adjusted to the empirical nuclear matter<br />

saturation point and compressibility κ. From this we predict an effective<br />

nucleon mass of M ∗ (ρ0) � 0.8M. At a temperature T � 17 MeV a<br />

liquid-gas phase transition is observed. The dependence of the equation<br />

of state P (T,µ,mπ) on the pion mass allows to calculate deviations from<br />

the leading linear decrease in density of the quark condensate. We find<br />

that these are small below normal nuclear matter density, but substantial<br />

at higher densities. In a further step we include three-loop contributions<br />

from 2π-exchange.<br />

Supported in part by BMBF and GSI.<br />

HK 2.8 Mon 18:45 A<br />

Renormalon Model of Twist-4 Corrections to Meson Wave<br />

Functions — •Stefan Gottwald — Institut für Theoretische Physik,<br />

Universität Regensburg, D-93040 Regensburg, Germany<br />

In this talk I present a renormalon-inspired model of twist-4 power<br />

corrections to the light-cone wave functions of the pion and the rhomeson,<br />

and compare it to the results obtained using the conformal wave<br />

expansion.<br />

This renormalon approach allows one to get some insight in the convergence<br />

properties of the conformal expansion and the basic result is that<br />

global features of the higher-twist wave functions calculated in the renormalon<br />

approach turn out to be surprisingly close to simple models based<br />

on the truncated conformal expansion. At the same time, the renormalon<br />

calculation indicates a “soft” divergence of the conformal expansion close<br />

to the kinematic boundaries.<br />

Time: <strong>Monday</strong> 16:15–19:00 Room: B<br />

Group Report HK 3.1 Mon 16:15 B<br />

New interpretation of the O(6) limit of the interacting boson<br />

model. — •J. Jolie 1 , P. von Brentano 1 , V. Werner 1 ,andR.F.<br />

Casten 2 — 1 Institut fuer Kernphysik, Universitaet zu Koeln — 2 Yale<br />

University, New Haven, USA<br />

It is shown that the O(6) limit of the IBM, can be interpreted as a<br />

critical point of a phase transition inbetween oblate and prolate rotational<br />

nuclei[1]. This quantum phase transition relates to the shape of<br />

the nucleus and can be described exactly for any number of interacting<br />

bosons N at the critical point. It will be shown that an important tool<br />

to theoretically study such finite-N quantum phase transitions is provided<br />

by the determination of the wavefunction entropy [2]. Besides this<br />

also other signatures of phase transitional character are discussed [3]. [1]<br />

J.Jolie, R.F. Casten, P. von Brentano, V. Werner, Phys. Rev. Lett.87<br />

(2001) 162501. [2] P. Cejnar, J.Jolie Phys. Rev. E 61 (2000) 6237. [3] V.<br />

Werner, P. von Brentano, R.F. Casten, J. Jolie, acc. for publ. in Phys.<br />

Lett. B. Work supported by DFG under project No Br 799/10-1 of US-<br />

DOE under grant N0 DE-FG02-91ER40609 and NATO under grant No<br />

SA 5-2-05 (CRG 950668).<br />

Group Report HK 3.2 Mon 16:45 B<br />

Decay properties of N� nuclei: A status report from the ISOL<br />

facility of GSI — •J. Döring for the GSI-ISOL collaboration — GSI,<br />

Darmstadt, Germany<br />

Nuclei with N�Z between the double shell closures 56 Ni and 100 Snare<br />

of great interest due to their special nuclear-structure features, including<br />

shape coexistence, the influence of the proton drip-line, tests of the Standard<br />

Model of Weak Interaction by means of precision data on superallowed<br />

0 + →0 + β-decays, and the relevance to the astrophysical rp process.<br />

These motivations form the basis of the research program pursued at the<br />

ISOL facility of GSI Darmstadt. After describing the fusion-evaporation<br />

reactions, used for producing the neutron-deficient isotopes of interest,<br />

and the detectors for decay measurements, we present examples of recent<br />

experiments, i.e. (i) the β-delayed proton emission from 57 Zn (T1/2

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