Three-nucleon force in relativistic three-nucleon Faddeev calculations

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.044001· OSTI ID:21499550

Witala, H; Golak, J; Skibinski, R; Gloeckle, W; Kamada, H; Polyzou, W N ^[1]

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1. M. Smoluchowski Institute of Physics, Jagiellonian University, PL-30059 Krakow (Poland)

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 noninteracting 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.

• OSTI ID: 21499550
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevC.83.044001; (c) 2011 American Institute of Physics; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CASIMIR OPERATORS
COMPUTERIZED SIMULATION
FADDEEV EQUATIONS
HAMILTONIANS
INTERACTIONS
MASS
MATRIX ELEMENTS
NUCLEONS
PARTIAL WAVES
RELATIVISTIC RANGE
ROTATION
SPIN
ANGULAR MOMENTUM
BARYONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FERMIONS
HADRONS
MATHEMATICAL OPERATORS
MOTION
PARTICLE PROPERTIES
QUANTUM OPERATORS
SIMULATION