Contribution of Three-Nucleon Potential to Triton Binding Energy

S. Ishikawa, T. Sasakawa, T. Sawada, and T. Ueda
Phys. Rev. Lett. 53, 1877 – Published 12 November 1984
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Abstract

Faddeev calculations for the triton are performed with three two-body potentials (RSC, URG, and Paris) taking eighteen channels, J<~2, for an interacting pair. Using these wave functions, we calculate the first-order perturbation energy for the Tucson-Melbourne three-body interaction. For the usual dipole pionic form factor with the cutoff parameter of Λ=800 MeV, we get 0.89 MeV (RSC), 0.50 MeV (URG), and 0.67 MeV (Paris). Thus, the calculated triton binding energies amount to 8.13 MeV (RSC), 8.00 MeV (URG), and 8.23 MeV (Paris). These values are very close to the experimental value of 8.482 MeV.

  • Received 12 June 1984

DOI:https://doi.org/10.1103/PhysRevLett.53.1877

©1984 American Physical Society

Authors & Affiliations

S. Ishikawa and T. Sasakawa

  • Department of Physics, Tohoku University, 980 Sendai, Japan

T. Sawada and T. Ueda

  • Department of Applied Mathematics, Faculty of Engineering Science, Osaka University, 560 Toyonaka, Japan

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Issue

Vol. 53, Iss. 20 — 12 November 1984

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