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Faddeev partial-wave calculations with a three-nucleon potential for the triton ground state

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Abstract

The triton binding energy, the percentages ofS, S′, andD states, and the asymptotic normalization constants are presented for 5-, 18-, 26-, and 34-channel Faddeev calculations with some realistic two-nucleon potentials and the Tucson-Melbourne three-nucleon potential. For the two-nucleon interaction, we take the Reid soft-core, the Argonne, the Paris, and the de-Tourreil-Rouben-Sprung potentials. The convergence properties of these calculations are discussed in detail. It turns out that five-channel calculations are decisively insufficient. We also discuss some asymptotic properties, such as the asymptotic normalization constants, the charge radius, and the momentum distribution in the long-wave-length region. It is shown that these quantities do not depend on the specific dynamics of the system, but only on the binding energy.

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Authors and Affiliations

  1. Department of Physics, Tohoku University, 980, Sendai, Japan

    S. Ishikawa & T. Sasakawa

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  1. S. Ishikawa
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  2. T. Sasakawa
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Ishikawa, S., Sasakawa, T. Faddeev partial-wave calculations with a three-nucleon potential for the triton ground state. Few-Body Systems 1, 143–158 (1986). https://doi.org/10.1007/BF01077005

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  • DOI: https://doi.org/10.1007/BF01077005

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