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Poincaré invariant three-body scattering at intermediate energies
Journal article   Open access   Peer reviewed

Poincaré invariant three-body scattering at intermediate energies

T Lin, Ch Elster, Wayne N Polyzou, H Witala and W Glockle
Physical review. C, Nuclear physics, Vol.78, 024002
08/20/2008
DOI: 10.1103/PhysRevC.78.024002
url
https://arxiv.org/pdf/0801.3210View
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Abstract

The Faddeev equation for three-nucleon scattering, based on an exactly Poincaré 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 Padé 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 Poincaré invariant model are investigated. Approximations to the two-body interaction embedded in the three-particle space are compared with the exact treatment.

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