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Monday, March 11, 2002 - DPG-Tagungen

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Nuclear Physics Tuesday<br />

HK 9.24 Tue 10:30 Foyer Chemie<br />

Quark Loop Calculations of Electroweak Meson Observables in<br />

a Covariant Bethe–Salpeter Model — •Matthias Koll, Ralf<br />

Ricken, Bernard Metsch, andVladimir Hellmann — Institut<br />

für Theoretische Kernphysik, Nußallee 14-16, D–53<strong>11</strong>5 Bonn, Germany<br />

We present recent theoretical results concerning electroweak processes<br />

such as γγ decays of π 0 ,η,η ′ mesons, the so–called π2ℓγ/K2ℓγ decays<br />

or scattering reactions like γπ → γπ and related processes. The basis<br />

of our calculations is a relativistic quark model based on the instantanteous<br />

Bethe–Salpeter equation; as quark–antiquark interactions, we<br />

adopt a linearly rising confinement potential with a suitably chosen spinorial<br />

structure plus a residual force induced by ’t Hooft’s instantons.<br />

First, we present the results for the light meson spectrum where we<br />

ultimately fix the few parameters of our model. We then discuss certain<br />

decays of pseudoscalar mesons into non–hadronic final states and compare<br />

the results with experimental data as well as with other theoretical<br />

calculations. Finally, we study the relevance of pure quark box contributions<br />

to processes like γγ → ππ or Compton scattering off pseudoscalar<br />

mesons at low energies and present our lowest order results concerning<br />

specific scattering reactions.<br />

HK 9.25 Tue 10:30 Foyer Chemie<br />

Coulomb effect in hard-photon proton-proton bremsstrahlung<br />

— •R.G.E. Timmermans and T.D. Penninga — Theory group,<br />

KVI, University of Groningen, Zernikelaan 25, 9747 AA Groningen, The<br />

Netherlands<br />

We study proton-proton bremsstrahlung near the end point of the photon<br />

spectrum. The Coulomb interaction is treated exactly and highquality<br />

pp potential models are used. The effect of the Coulomb force is<br />

shown to be dramatic. Implications for experiment are discussed.<br />

HK 9.26 Tue 10:30 Foyer Chemie<br />

Final State Interaction Effects in Incoherent Photoproduction<br />

of π-Mesons on the Deuteron — •Eed Darwish 1,2 , Hartmuth<br />

Arenhövel 1 ,andMichael Schwamb 1 — 1 Institut für Kernphysik, J.<br />

Gutenberg-Universität, J.-J. Becher-Weg 45, D-55099 Mainz, Germany<br />

— 2 Physics Department, Faculty of Science, South Valley University,<br />

Sohag, Egypt<br />

Incoherent photoproduction of pions on the deuteron in the ∆(1232)<br />

resonance region is investigated with inclusion of nucleon-nucleon (NN)<br />

and pion-nucleon (πN) rescattering. The elementary γN → πN production<br />

amplitude contains besides the standard pseudovector Born terms<br />

the resonance contribution from the ∆(1232) excitation [1].<br />

The major point of concern is the inclusion of NN and πN rescattering<br />

which we limit to contributions of two-particle interactions in the<br />

NN-andπN-subsystems. As models for the interaction of the NN-and<br />

πN-subsystems we use separable interactions from Haidenbauer et al. [2]<br />

and Nozawa et al. [3], respectively.<br />

In general, the inclusion of final state interaction effects is found to<br />

be important in the total and differential cross sections. Moreover, they<br />

lead to an improved agreement with the existing experimental data.<br />

[1] R. Schmidt et al., Z.Phys.,A355 (1996), 421<br />

[2]J.Haidenbaueret al., Phys.Rev.,C30 (1984), 1822<br />

[3] S. Nozawa et al., Nucl. Phys., A513 (1990) 459<br />

HK 9.27 Tue 10:30 Foyer Chemie<br />

Two and Three Neutron Halos in Helium and Lithium Isotope<br />

— •M. Tomaseli 1,2 , T. Kuehl 2 , P. Egelhof 2 , W. Noertershaeuser<br />

2 , A. Dax 2 , H. Wang 2 , D. Marx 2 , S.R. Neumaier 2 ,<br />

H.-J. Kluge 2 , I. Tanihata 3 , S.Fritzsche 4 ,andM. Muttere 1 —<br />

1 Institute of Nuclear Physics, Darmstadt University, D-64289 Darmstadt,<br />

Germany — 2 Gesellschaft fuer Schwerionenforschung (GSI), D-64291<br />

Darmstadt, Germany — 3 RIKEN 2-1 Hirosawa, Wako-Shi, Saitama 351-<br />

0198, Japan — 4 Institute of Physics, Kassel University, D-34132 Kassel,<br />

Germany<br />

The far reaching shape of the matter distributions (halo) of exotic<br />

nuclei with high isospin components is calculated in the Dynamic Correlation<br />

Model (DCM) which is based on the interaction of valence- and<br />

core-particles. In this model, one, two, or more valence particles and<br />

intrinsic vacuum-clusters (collective-excitations of reference vacuum) are<br />

treated within the same formalism. Matter and charge distributions of<br />

lithium and beryllium isotopes are strongly modulated by the couplig of<br />

the valence particles with the core and the matter radii extracted from<br />

the theoretical distributions are in good agreement with experimental<br />

results. Within the model the core-protons are de facto contributing to<br />

the halo formation. The effect of the core excitation mechanism on the<br />

calculated cross sections for proton scattering on helium and lithium isotopes<br />

is analysed. For the charge radii new experiments based on the<br />

determination of the volume-shift are discussed<br />

HK 9.28 Tue 10:30 Foyer Chemie<br />

Three quark correlations in hot and dense nuclear matter —<br />

•Michael Beyer 1 , Stefano Mattiello 1 , Tobias Frederico 2 ,<br />

and Hans J Weber 3 — 1 FBPhysik,U.Rostock,Germany— 2 Sao<br />

Paulo, Inst. Tech. Aeronautics, Brazil — 3 U of Virginia, Charlottesville,<br />

USA<br />

We investigate the transition region from quark to nuclear matter at<br />

high densities and temperatures as it might be relevant for highly relativistic<br />

heavy ion collisions. To this end, we present a relativistic threebody<br />

equation to investigate three-quark clusters in hot and dense quark<br />

matter. To derive such an equation we use the Dyson equation approach.<br />

The equation systematically includes the Pauli blocking factors as well as<br />

the self energy corrections of quarks. Special relativity is realized through<br />

the light front form. Presently we use a zero-range force and investigate<br />

the Mott transition.<br />

References<br />

M. Beyer, S. Mattiello, T. Frederico, H.J. Weber, Phys. Lett. B521<br />

(2001) 33; S. Mattiello, M. Beyer, T. Frederico, H.J. Weber, Few-Body<br />

Systems in print.<br />

HK 9.29 Tue 10:30 Foyer Chemie<br />

The Jülich pion-nucleon model — •Achot M. Gasparyan , Johann<br />

Haidenbauer, Christoph Hanhart, andJosef Speth —<br />

FZ Jülich, IKP, 52425 Jülich<br />

The coupled channel model of the πN interaction developed by the<br />

Jülich group [1] yields a quite satisfactory description of the πN phase<br />

shifts and inelasticities as well as of the ηN differential and total cross<br />

sections in the energy range from the πN threshold up to about 1600<br />

MeV. Presently we are extending this model to higher energies and we<br />

will report corresponding results at this meeting.<br />

For the extension to higher energies further channels like KΛ, KΣ,<br />

and ωN (which open at center of mass energies within the region 1600-<br />

1700 MeV) have to be included. In addition, contributions from several<br />

pole diagrams, in particular of the S31(1620), P 13(1720) and D33(1700)<br />

resonances, are considered.<br />

[1] O. Krehl et al., Phys. Rev. C 62, 025207 (2000).<br />

HK 9.30 Tue 10:30 Foyer Chemie<br />

The influence of three body cuts on the reaction NN → NNx—a<br />

toy model study — •Andreas Motzke 1 , Charlotte Elster 1,2 ,<br />

Christoph Hanhart 1 ,andJosef Speth 1 — 1 Institut für Kernphysik<br />

(Theorie), Forschungszentrum Jülich, D-52425 Jülich — 2 Department of<br />

Physics and Astronomy, Ohio University, Athens, OH 45701<br />

In recent years there is an increasing interest in meson production reactions<br />

in NN collisions. High quality data is available for a large number<br />

of different mesons. Unfortunately, several theoretical issues are still to<br />

be investigated in detail. One of those is the impact of three body cuts<br />

on the reaction cross sections. In this talk we will study the significance<br />

of NNπ–cuts on the reaction NN → NNx within a toy model<br />

developed in Ref. [1]. We discuss the numerical methods used and compare<br />

the exact results to several approximations used in the literature. [1]<br />

C.Hanhart, G.A.Miller, F.Myhrer, T.Sato, and U.van Kolck, Phys.Rev.C<br />

63(2001)044002.

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