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Nuclear Physics Wednesday<br />

of the accelerator average to zero very fast. A planar figure of 8 accelerator<br />

without any horizontal magnetic field components would restore any<br />

spin orientation at a given position in every turn. Small horizontal disturbances,<br />

especially from fringe fields will lead to comparatively slow spin<br />

movement which will make in average polarisation zero. If this movement<br />

is slow enough and coherent one might use this in experiments.<br />

Combination of the crossover accelerator structure with Wienfilters or<br />

Solenoids open some new possibilities for spin stabilization.<br />

HK 25.6 Wed 12:15 C<br />

CONCEPTUAL DESIGN OF A HIGH CURRENT<br />

DEUTERON RFQ — •Chuan Zhang 1 , Alwin Schempp 1 ,<br />

Zhi-Yu Guo 2 , Jia-Er Chen 2 , and Jia-Xun Fang 2 — 1 Iap Frankfurt<br />

— 2 IHIP, Peking University<br />

A 50mA deuteron RFQ is proposed for the thermal neutron generator<br />

project at Peking University, China. Design studies have been performed<br />

with the ParmteqM and Microwave Studio codes to optimize the structure<br />

design, concerning minimum beam losses, the limited RF power and<br />

the demands of safety maintenance. Results of a conceptual design with<br />

a compact structure and high transmission efficiency is presented.<br />

HK 26 Theory IV<br />

HK 25.7 Wed 12:30 C<br />

Development of finger drift tubes — •Kai-Uwe Kuehnel 1 ,<br />

Carsten Peter Welsch 2 , and Alwin Schempp 1 — 1 IAP Frankfurt<br />

— 2 MPI-K Heidelberg<br />

Since RFQs decrease in their acceleration efficiency at higher energies<br />

and drift tube structures have a defocussing effect on the beam, a new<br />

kind of drift tube linac is being studied in Frankfurt. By mounting small<br />

fingers with quadrupole symmetry on the drift tubes, a focusing field<br />

component is added to the accelerating field. Driven by the same power<br />

supply as the drift tubes, the fingers do not need an additional power<br />

source or feedthrough. The beam dynamics of such a cavity has been examined<br />

with PARMTEQ. Simulations of the rf properties have been done<br />

using microwave studio. A prototype of a spiral loaded cavity with finger<br />

drift tubes has been built and examined. Results of the calculations as<br />

well as low level and bead pertubation measurements are presented in<br />

this contribution.<br />

Time: Wednesday 10:45–12:45 Room: D<br />

Group Report HK 26.1 Wed 10:45 D<br />

Nucleon mass, sigma term and lattice QCD — •Massimiliano<br />

Procura 1,2 , Thomas Hemmert 1 , and Wolfram Weise 1,2 —<br />

1 Physik Department, Theoretische Physik T39, TU München, Germany<br />

— 2 ECT ∗ , Trento, Italy.<br />

We analyse the quark mass dependence of the nucleon mass in relativistic<br />

SU(2) baryon chiral perturbation theory as described in [1]. In<br />

such a framework we perform an interpolation of this nucleon property<br />

between a selected set of fully dynamical two-flavor lattice QCD data [2]<br />

and its physical value. We obtain a good interpolation function already<br />

at the one-loop level. We show that the next-to-leading one-loop corrections<br />

are small. Using results from such analysis we study also the quark<br />

mass dependence of the pion-nucleon sigma term.<br />

Work supported in part by BMBF and DFG.<br />

[1] T. Becher and H. Leutwyler, Eur. Phys. J. C9, 643 (1999).<br />

[2] M. Procura, T. Hemmert and W. Weise, [hep-lat/0309020],<br />

submitted to Phys. Rev. D.<br />

HK 26.2 Wed 11:15 D<br />

The Nucleon in a Box — •T.R. Hemmert for the QCDSF and<br />

UKQCD collaboration — Physik Department T39, TU München<br />

The quark mass dependence of the nucleon in relativistic baryon chiral<br />

perturbation theory (BChPT) has been discussed to next-to-leading one<br />

loop order in [1]. It was found that the resulting chiral extrapolation<br />

formula agrees well with lattice QCD simulation data for effective lattice<br />

pion masses between 500-750 MeV, provided that one selects only those<br />

simulation points obtained at lattice sizes larger than 1.8 fm. When the<br />

size of the simulation volume is further reduced, the quark mass dependence<br />

of the mass of the nucleon is different from the one given in [1], due<br />

to greater sensitivity to the exact boundary conditions of the finite box<br />

size. These finite size effects on the nucleon mass have been calculated<br />

[2], utilizing the same relativistic BChPT framework. At next-to-leading<br />

one loop order one finds good agreement between the volume dependence<br />

predicted by ChPT and the finite size effects observed in lattice<br />

QCD simulations. We also discuss how finite size effects in lattice QCD<br />

simulations of baryon properties can be understood within the framework<br />

of ChPT [3].<br />

[1] M. Procura, T.R. Hemmert and W. Weise, [hep-lat/0309020].<br />

[2] QCDSF and UKQCD collaboration, [hep-lat/0309133].<br />

[3] QCDSF and UKQCD collaboration, forthcoming.<br />

This work has been supported in part by BMBF and DFG.<br />

HK 26.3 Wed 11:30 D<br />

Chiral Extrapolations and Non-Analytic Terms — •Dominik<br />

Nickel, Michael Buballa, and Jochen Wambach — IKP, TU<br />

Darmstadt, Germany<br />

Since lattice QCD is so far limited to unrealistically large quark masses<br />

(corresponding to pion masses of 400 MeV or more), the resulting observables<br />

must be extrapolated to the physical point. Usually this is done<br />

by simple polynomial fits to the data. It has also been suggested to employ<br />

chiral models for the extrapolations in order to ensure the correct<br />

non-analytic behavior in the chiral limit. In this talk, we investigate the<br />

relevance of the leading non-analytic (LNA) terms and present results<br />

obtained with the 1/Nc-corrected NJL model. It will be shown that the<br />

LNA terms, which are also formally reproduced correctly by the NJL<br />

model, give a very poor description of the mπ dependence of the hadron<br />

masses, mainly because of the implicit definition of the masses as the<br />

poles of the dressed propagators.<br />

HK 26.4 Wed 11:45 D<br />

Excited nucleons on the lattice with chirally improved fermions<br />

— •Dirk Brömmel 1 , Peter Crompton 1 , Christof Gattringer 1 ,<br />

Leonid Ya. Glozman 2 , C.B. Lang 2 , Stefan Schaefer 3 , and Andreas<br />

Schäfer 1 for the BGR [Bern - Graz - Regensburg] collaboration<br />

— 1 Universität Regensburg — 2 Universität Graz — 3 University of Colorado<br />

at Boulder<br />

We study positive and negative parity nucleons on the lattice using<br />

the chirally improved lattice Dirac operator. Our analysis is based on a<br />

set of three operators χi with the nucleon quantum numbers. We use a<br />

variational method to separate ground state and excited states and determine<br />

the mixing coefficients for the optimal nucleon operators in terms of<br />

the χi. We clearly identify the negative parity resonances N(1535) and<br />

N(1650) and their masses agree well with experimental data. The mass<br />

of the observed excited positive parity state is too high to be interpreted<br />

as the Roper state. Our results for the mixing coefficients indicate that<br />

chiral symmetry is important for N(1535) and N(1650) states.<br />

HK 26.5 Wed 12:00 D<br />

I = 2 pion scattering length with chirally improved fermions —<br />

•Dieter Hierl, Christof Gattringer, Rainer Pullirsch, and<br />

Andreas Schäfer — Institut für theoretische Physik, Universität Regensburg,<br />

D-93040 Regensburg, Germany<br />

We report on a lattice calculation of the pion scattering length in the<br />

I = 2 channel using the chirally improved lattice Dirac operator. The<br />

scattering length is extracted by using the standard finite volume technique<br />

of Lüscher. We find that the most difficult part is to minimize<br />

the errors for the 4-pion-correlators. We work with pion masses down<br />

to 310 MeV in the quenched approximation. The scattering lengths we<br />

obtained are extrapolated to the chiral limit. We find a good agreement<br />

with experimental data.

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