Coherent photoproduction of pions on spin-zero nuclei in a relativistic,non-local model |
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| Institution: | 1. Tomsk Polytechnic University, 634050 Tomsk, Russia;2. Joint Institute for Nuclear Research, 141980 Dubna, Russia;3. Kazan Federal University, 420008 Kazan, Russia;4. Institut für Theoretische Physik der Justus–Liebig–Universität, D-35392 Giessen, Germany;1. Division of Cardiovascular Medicine, UC San Diego, San Diego, CA, USA;2. UC San Diego Sulpizio Cardiovascular Center, 9452 Medical Center Drive #7411, La Jolla, CA 92037, USA;3. Department of Internal Medicine, UC San Diego, San Diego, CA, USA;4. Division of Cardiovascular Medicine, UC San Diego Cardiovascular Institute, San Diego, CA, USA;1. Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany;2. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93016, USA;3. Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany;4. Institut für Kernphysik, Institute for Advanced Simulation, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany;5. JARA - High Performance Computing, Forschungszentrum Jülich, D-52425 Jülich, Germany;1. Department of Theoretical Physics, Baku State University, Z. Khalilov st. 23, AZ-1148, Baku, Azerbaijan;2. Institute for Physical Problems, Baku State University, Z. Khalilov st. 23, AZ-1148, Baku, Azerbaijan;3. Department of Physics, Karadeniz Technical University, TR61080 Trabzon, Turkey |
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| Abstract: | A relativistic and non-local model for the coherent photoproduction of pions on spin-zero nuclei is presented. The production operator is derived from an effective Lagrangian model that contains all the degrees of freedom known to contribute to the elementary process. Using the framework of DWIA, the matrix elements of this operator are evaluated using relativistic bound state wave functions. Final state interactions are accounted for via a pion-nucleus optical potential. The effects of in-medium modifications of the production operator are discussed. We give results for 12C and 40Ca, and compare our calculations to the data of the A2 collaboration at MAMI. |
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