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Triton binding energy and three-nucleon potential
Authors:T Sasakawa  S Ishikawa
Institution:(1) Department of Physics, Tohoku University, 980 Sendai, Japan
Abstract:The method of continued fractions proposed by Horáccaronek and Sasakawa is applied to calculate the binding energy of the triton. By this method, the Faddeev equation is solved very quickly. We solved it with 34 channels for the super-soft core (TRS), Paris (PARIS) and Argonne (AV) potentials with Tucson-Melbourne (TM) three-nucleon potential. The binding energy obtained from these realistic two-nucleon potentials without a threenucleon potential is at most 7.7 MeV. If we include the TM three-nucleon potential taking a cutoff mass of Lambda=800 MeV for the dipole pgrNN form factor, the triton is overbound (9.3 ap 9.7 MeV), whereas for Lambda=700 MeV, we get binding energies which almost agree with the experimental value; TRS+TM, 8.47; PARIS + TM, 8.32; AV+TM, 8.42 MeV.
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