EPJ Web of Conferences
Volume 3, 201019th International IUPAP Conference on Few-Body Problems in Physics
|Number of page(s)||5|
|Published online||12 April 2010|
Calculations of the Triton Binding Energy with a Lorentz Boosted Nucleon-Nucleon Potential
Department of Physics, Faculty of Engineering, Kyushu Institute
of Technology, 1-1
Sensuicho Tobata, Kitakyushu
2 Institut für theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
3 M. Smoluchowski Institute of Physics, Jagiellonian University, PL-30059 Kraków, Poland
4 Department of Physics and Astronomy, The University of Iowa, Iowa City, IA 52242, USA
5 Institute of Nuclear and Particle Physics, and Department of Physics, Ohio University, Athens, Ohio 45701, USA
a e-mail: email@example.com
We study the binding energy of the three-nucleon system in relativistic models that use two diﬀerent relativistic treatments of the potential that are phase equivalent to realistic NN interactions. One is based on a unitary scale transformation that relates the non-relativistic center-of-mass Hamiltonian to the relativistic mass (rest energy) operator and the other uses a non-linear equation that relates the interaction in the relativistic mass operator to the non-relativistic interaction. In both cases Lorentz-boosted interactions are used in the relativistic Faddeev equation to solve for the three-nucleon binding energy. Using the same realistic NN potentials as input, the solution of the relativistic three-nucleon Faddeev equation for 3H shows slightly less binding energy than the corresponding nonrelativistic result. The eﬀect of the Wigner spin rotation on the binding is very small.
© Owned by the authors, published by EDP Sciences, 2010
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