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A New Quantization of Hadron System and Ultra-Low Energy Nuclear Fusion

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Abstract

A new quantization is proposed for an energy-dependent particle exchange potential. The quantum number corresponds not only to the branch point of the potential cut, but also to the index of a long-range hadron potential. By using the long-range potential, an ultra-low energy nuclear (ULEN) reaction is investigated. It was found that a three-body Cs + H + H plasma in a Pd\(_{12}\) cage could be excited to \(1.36\times 10^{-4}\) eV \(\sim 300\) eV by an electric current where the long-range potential gives one or two order larger reaction probability than the others. A ULEN reaction was compared with the thermo-nuclear fusion by using well-known critical fusion constant defined by \(C_{high/low}\) = (a duration time) \(\times \) (a plasma density) \(\times \) (a temperature). We found that \(C_{low}\) is almost the same as \(C_{high}\) or more. We concluded that the ULEN synthesis could occur with a high-pressure hydrogen circumstance and a high-density CsH\(_2\)Pd\(_{12}\) cluster.

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Acknowledgements

One of the authors (S.O.) would like thanks to Profs. I. E. Lagaris and B. F. Gibson for their helpful suggestions and encouragement.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Tokyo University of Science, Yamazaki, Noda, 278-8510, Chiba, Japan

    Shinsho Oryu, Takashi Watanabe & Yasuhisa Hiratsuka

  2. Department of Information Science, Tokyo University of Science, Yamazaki, Noda, 278-8510, Chiba, Japan

    Masayuki Takeda

Authors
  1. Shinsho Oryu
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  2. Takashi Watanabe
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  3. Yasuhisa Hiratsuka
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  4. Masayuki Takeda
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Contributions

S. Oryu gave the theoretical aspect and wrote the manuscript T. Watanabe three-body calculation Y. Hiratsuak three-body calculation M.Takeda molecular structure formation.

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Correspondence to Shinsho Oryu.

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Oryu, S., Watanabe, T., Hiratsuka, Y. et al. A New Quantization of Hadron System and Ultra-Low Energy Nuclear Fusion. Few-Body Syst 65, 42 (2024). https://doi.org/10.1007/s00601-024-01912-6

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