Elastic unitarity and the K-matrix in a Lorentz covariant representation of the NN interaction |
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| Affiliation: | 1. Department of Physics, Florida International University, University Park, Miami, FL 33199, USA;2. University College of the Fraser Valley, 45635 Yale Road, Chilliwack, British Columbia V2P 6T4, Canada;1. Wellcome Centre for Human Neuroimaging, Institute of Neurology, University College London, London WC1N 3AR, UK;2. Department of Mathematics, Imperial College London, London SW7 2AZ, UK;3. VERSES Research Lab, Los Angeles, CA, USA;4. Department of Mathematics, Stony Brook University, Stony Brook, NY, USA;5. Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY, USA;6. Department of Collective Behaviour, Max Planck Institute of Animal Behaviour, Konstanz D-78457, Germany;7. Centre for the Advanced Study of Collective Behaviour, University of Konstanz, Konstanz D-78457, Germany;1. Department of Physics, Tokyo Institute of Technology, Tokyo, 152-0551, Japan;2. Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, 567-0047, Japan;3. Department of Physics, Osaka University, Toyonaka, 560-0043, Japan;4. RIKEN Cluster for Pioneering Research (CPR), RIKEN, Wako, 351-0198, Japan;5. Department of Physics and Astronomy, University of Victoria, Victoria BC V8W 3P6, Canada;6. Stefan-Meyer-Institut für subatomare Physik, A-1030 Vienna, Austria;7. Horia Hulubei National Institute of Physics and Nuclear Engineering (IFIN-HH), Magurele, Romania;8. INFN Sezione di Torino, Torino, Italy;9. Dipartimento di Fisica Generale, Universita''di Torino, Torino, Italy;10. Department of Physics, Seoul National University, Seoul, 151-742, South Korea;11. Laboratori Nazionali di Frascati dell''INFN, I-00044 Frascati, Italy;12. Accelerator Laboratory, High Energy Accelerator Research Organization (KEK), Tsukuba, 305-0801, Japan;13. Department of Physics, The University of Tokyo, Tokyo, 113-0033, Japan;14. Laboratory of Physics, Osaka Electro-Communication University, Neyagawa, 572-8530, Japan;15. RIKEN Nishina Center for Accelerator-Based Science, RIKEN, Wako, 351-0198, Japan;p. ASRC, Japan Atomic Energy Agency (JAEA), Ibaraki 319-1195, Japan;q. RIKEN SPring-8 Center, RIKEN, Hyogo, 679-5148, Japan;r. Cryogenics Science Center, High Energy Accelerator Research Organization (KEK), Tsukuba, 305-0801, Japan;s. Department of Physics, Kyoto University, Kyoto, 606-8502, Japan;t. Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Tsukuba, 305-0801, Japan;u. Mechanical Engineering Center, High Energy Accelerator Research Organization (KEK), Tsukuba, 305-0801, Japan;v. Technische Universität München, D-85748, Garching, Germany;w. Graduate School of Arts and Sciences, The University of Tokyo, Tokyo, 153-8902, Japan;x. Research Center for Electron Photon Science (ELPH), Tohoku University, Sendai, 982-0826, Japan;y. Department of Physics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan;z. Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi”, Piazza del Viminale 1, 00184 Rome, Italy;11. INFN, Laboratori Nazionali di Frascati, Via Enrico Fermi 40, 00044 Frascati, Italy;12. Department of Chemical Physics, Lund University, Lund, 221 00, Sweden;13. Excellence Cluster University, Technische Universität München, D-85748, Garching, Germany;14. Korea Unstitute of Radiological and Medical Sciences (KIRAMS), Seoul, 139-706, South Korea;1. Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738, Zeuthen, Germany;2. Physics Department, Brookhaven National Laboratory, 11973, Upton, NY, USA;3. Nuclear Science Division, Lawrence Berkeley National Laboratory, 94720, Berkeley, CA, USA;4. Intel Deutschland GmbH, Dornacher Str. 1, 85622, Feldkirchen, Germany;5. Dept. of Physics, Carnegie Mellon University, 15213, Pittsburgh, PA, USA;6. Dept. of Physics and Astronomy, University of North Carolina, 27516, Chapel Hill, NC, USA;7. Center for Theoretical Physics, Massachusetts Inst. of Technology, 02139, Cambridge, MA, USA;8. Physics Division, Lawrence Livermore National Laboratory, 94550, Livermore, CA, USA |
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| Abstract: | A Lorentz covariant representation of the NN t-matrix has been obtaained over the energy range from 150 to 500 MeV by solving the integral equation that connects the t-matrix with the K-matrix. The K-matrix is expanded in a complete set of on-shell Lorentz invariant amplitudes represented phenomenologically by isoscalar and isovector “meson” exchanges. The real part of the K-matrix is fit over the energy range from 150 to 500 MeV using coupling strengths that are allowed to vary quadratically with energy. Above the pion production threshold at Tlab = 280 MeV, the real K-matrix is supplemented by an imaginary part with linear energy dependence. The K-matrix parameters are fit to thesmost recent (January 1999) Arndt amplitudes [R.A. Arndt, D. Roper, VPI and SU Scattering Analysis Interactive Dial-in Program and Data Base]. Direct and exchange contributions to the K-matrix are handled explicitly in the formalism. The resulting t-matrix satisfies elastic unitary below the pion production threshold and contains non-local terms that are not present in direct Love-Franey parameterizations of the t-matrix. Results are given for the NN amplitudes and compared with both the Arndt amplitudes and amplitudes obtained from a direct fit of the t-matrix [O.V. Maxwell, Nucl. Phys. A 600 (1996) 509]. Results are also given for a selected set of np and pp observables. |
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