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Dresden 2000 – scientific programme

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HK: Physik der Hadronen und Kerne

HK 8: Theorie II

HK 8.2: Talk

Monday, March 20, 2000, 17:00–17:15, B 81

An Effective Field Theory Approach to nd Scattering — •Harald W. Grießhammer1,2, Paulo F. Bedaque3, and Fabrizio Gabbiani2,41Institut für Theoretische Physik, Technische Universität München — 2Nuclear Theory Group, University of Washington, Seattle, USA — 3Institute for Nuclear Theory, Seattle, USA — 4Department of Physics, Duke University, Durham, USA

Recently, an Effective Field Theory that describes the nucleon-nucleon interactions was formulated by Kaplan, Savage and Wise [1]. The resulting power counting allows for simple, model independent, systematic and rigorous computations of the properties of nuclear systems with an error estimate. The talk focuses on applications to the computation of nuclear three body properties: The real and imaginary part of the quartet S wave phase shift in nd scattering for centre-of-mass momenta of up to 300 MeV is presented, using both perturbative pions and an approach in which pions are integrated out [2]. The results suggest that pion effects are small even at high momenta. Also, the phase shifts for the partial waves in the spin quartet and doublet channel of nd scattering at centre-of-mass momenta of up to 140 MeV were calculated at next-to-leading and next-to-next-to-leading order with pions integrated out [3]. All calculations demonstrate convergence and agree with both phase shift analyses and potential model calculations (as available), but extend to a higher, so far untested momentum régime above the deuteron breakup point.

[1] Kaplan, Savage and Wise: Phys. Rev. C59, 617 (1999).

[2] Bedaque and Grießhammer: nucl-th/9907077.

[3] Gabbiani, Bedaque and Grießhammer: nucl-th/9911034.

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