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Three-nucleon force in relativistic three-nucleon Faddeev calculations
Journal article   Open access   Peer reviewed

Three-nucleon force in relativistic three-nucleon Faddeev calculations

H Witala, J Golak, R Skibinski, W Glockle, H Kamada and W. N Polyzou
Physical review. C, Nuclear physics, Vol.83(4), 044001
01/20/2011
DOI: 10.1103/PhysRevC.83.044001
url
https://arxiv.org/pdf/1101.4053View
Open Access

Abstract

Phys.Rev.C83:044001,2011 We extend our formulation of relativistic three-nucleon Faddeev equations to include both pairwise interactions and a three-nucleon force. Exact Poincare invariance is realized by adding interactions to the mass Casimir operator (rest Hamiltonian) of the non-interacting system without changing the spin Casimir operator. This is achieved by using interactions defined by rotationally invariant kernels that are functions of internal momentum variables and single-particle spins that undergo identical Wigner rotations. To solve the resulting equations one needs matrix elements of the three-nucleon force with these properties in a momentum-space partial-wave basis. We present two methods to calculate matrix elements of three-nucleon forces with these properties. For a number of examples we show that at higher energies, where effects of relativity and of three-nucleon forces are non-negligible, a consistent treatment of both is required to properly analyze the data.
Physics - Nuclear Theory

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