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Quality of the three-nucleon bound-state wave function from a two-nucleon separable expansion method

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Abstract

The numerical quality of the3H wave function obtained by the separable expansion method of Ernst, Shakin, and Thaler is examined. Separable approximations to the Paris potential with increasing accuracy are used in the1 S 0 and3 S 1-3 D 1 partial waves to calculate the binding energy, wave function, wave-function component percentages, and theS- andD-wave asymptotic normalization constants of3H. The results are compared with existing five-channel calculations obtained directly (without expansion) from the Paris potential to determine convergence. It is found that the results converge rapidly to the right values, indicating that the3H wave function thus obtained is of high quality and essentially indistinguishable from that obtained directly from the Paris interaction.

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Authors and Affiliations

  1. Center for Nuclear Studies, Department of Physics, The George Washington University, 20052, Washington, DC, USA

    W. C. Parke, D. R. Lehman & L. C. Maximon

  2. Department of Physics, Hosei University, 17-1,2-chome Fujimi Chiyoda-ku, 102, Tokyo, Japan

    Y. Koike

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  1. W. C. Parke
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  2. Y. Koike
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  3. D. R. Lehman
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  4. L. C. Maximon
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Dedicated to Profs. Erich Schmid and Ivo Šlaus on the occasion of their 60th birthdays

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Parke, W.C., Koike, Y., Lehman, D.R. et al. Quality of the three-nucleon bound-state wave function from a two-nucleon separable expansion method. Few-Body Systems 11, 89–98 (1991). https://doi.org/10.1007/BF01318554

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  • DOI: https://doi.org/10.1007/BF01318554

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