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The Relativistic Three-Body Bound State in a 3D Formulation
Journal article   Open access   Peer reviewed

The Relativistic Three-Body Bound State in a 3D Formulation

M. R Hadizadeh, Ch Elster and W. N Polyzou
Physical review. C, Nuclear physics, Vol.90(5), 054002
09/04/2014
DOI: 10.1103/PhysRevC.90.054002
url
https://doi.org/10.1103/PhysRevC.90.054002View
Published (Version of record) Open Access

Abstract

Phys. Rev. C 90, 054002 (2014) Background: The relativistic three-body problem has a long tradition in few-nucleon physics. Calculations of the triton binding energy based on the solution of the relativistic Faddeev equation in general lead to a weaker binding than the corresponding non-relativistic calculation. Purpose: In this work we solve for the three-body binding energy as well as the wave function and its momentum distribution. The effect of the different relativistic ingredients are studied in detail. Method: Relativistic invariance is incorporated within the framework of Poincar{\'e} invariant quantum mechanics. The relativistic momentum-space Faddeev equation is formulated and directly solved in terms of momentum vectors without employing a partial-wave decomposition. Results: The relativistic calculation gives a three-body binding energy which is about 3% smaller than its non-relativistic counterpart. In the wave function, relativistic effects are manifested in the Fermi motion of the spectator particle. Conclusions: Our calculations show that though the overall relativistic effects in the three-body bound state are small, individual effects by themselves are not necessarily small and must be taken into account consistently.
 Physics - Nuclear Theory

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