Abstract
A long range potential the so-called general particle transfer (GPT) potential was proposed for three-body systems almost one decade ago. In this report, we will illustrate another GPT feature from the dispersion theoretical point of view. The index number of the long range potential is related to the exchange particle mass which represents the threshold of multi-pion creation in the potential cut. The index number is proportional to the exchange particle mass. Therefore, the potential with a large exchange particle mass is negligible compared to that with a small mass. Since the quasi-two-body form factors are also given by the GPT potential, then the GPT potential is represented not by a linear form but by an entangled non-linear long range potential. This results in a long range three-body Efimov-type potential.
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Acknowledgements
I would like to thank Dr. Takashi Watanabe and Dr. Yasuhisa Hiratsuka for their assistance. The author is grateful to Dr. B. F. Gibson for his continuous encouragement.
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Oryu, S. The General Particle Transfer Potential in a Range of Physical Systems and its Long Range Component. Few-Body Syst 62, 56 (2021). https://doi.org/10.1007/s00601-021-01638-9
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DOI: https://doi.org/10.1007/s00601-021-01638-9