Poincare invariant three-body scattering at intermediate energies
- Institute of Nuclear and Particle Physics, and Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701 (United States)
- Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242 (United States)
- Institute of Physics, Jagiellonian University, PL-30059 Cracow (Poland)
- Institute for Theoretical Physics II, Ruhr-University Bochum, D-44780 Bochum (Germany)
The Faddeev equation for three-nucleon scattering, based on an exactly Poincare invariant formulation of quantum mechanics, is solved for projectile energies up to 2 GeV. As in the nonrelativistic three-body problem, the three-body dynamics is determined, up to three-body interactions, by the two-body dynamics and cluster properties. The two-body interactions are determined, up to a unitary scattering equivalence, by two-body scattering data, which in our application are generated by a nonrelativistic Malfliet-Tjon interaction. The Faddeev equation is directly solved in a kinematic momentum representation without employing a partial-wave decomposition. The solution of the Faddeev equation is generated using Pade summation, and the numerical feasibility and stability of the solution is demonstrated. Scattering observables for elastic and breakup scattering are calculated for projectile energies in the intermediate energy range up to 2 GeV, and compared with their nonrelativistic counterparts. The convergence of the multiple scattering series is investigated as a function of the projectile energy in different scattering observables and configurations. The complementary roles of kinematic and dynamical contributions to our Poincare invariant model are investigated. Approximations to the two-body interaction embedded in the three-particle space are compared with the exact treatment.
- OSTI ID:
- 21192096
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 78, Issue 2; Other Information: DOI: 10.1103/PhysRevC.78.024002; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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