2011/01/31 by H. Witala, J. Golak, R. Skibinski +3 · 1 citation
Physics and Astronomy · #nucl-th
paper · pdf · doi:10.1103/physrevc.83.044001
published as Phys.Rev.C83:044001,2011 · 49 pages, 18 figures
arxiv created 2011/02/16 · arxiv updated 2015/03/17
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.