Abstract
The binding energy of the trinucleon system can now be calculated for a model Hamiltonian with both two- and three-body forces to an accuracy of 10 keV. At least 34 channels must be used in the numerical calculations to achieve this accuracy. All models which use only two-body interactions yield binding energies which are below the experimental values. The addition of either the Tucson-Melbourne or the Brazil two-pion-exchange three-nucleon force to the model Hamiltonian produces a large change in the binding energy. If one uses the commonly accepted value of the pion-nucleon form factor cutoff for the three-body force, then both three-body force models overbind the triton by about 1.5 MeV. Also, the addition of a three-body force to the model Hamiltonian does not produce significant changes in the charge density.
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Payne, G.L. (1986). The triton binding-energy problem. In: Berman, B.L., Gibson, B.F. (eds) The Three-Body Force in the Three-Nucleon System. Lecture Notes in Physics, vol 260. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16805-2_12
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DOI: https://doi.org/10.1007/3-540-16805-2_12
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