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Two- and Three-Body Coulomb Solution Method in a Momentum Space

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Abstract

We present a method to calculate two- and three-body amplitudes including the Coulomb potential in a momentum space. Our aim is to obtain the exact two-body Coulomb amplitudes used in three-body calculations, which reproduce the analytic phase shifts. For the purpose, our theory is based on the modified Coulomb potential (MCP) whose Fourier transformation is equivalent to the pure Coulomb potential in a configuration space, and the two-potential theory with an auxiliary potential. Moreover, one can analytically determine a decisive range R dec in the MCP. By using the MCP, we obtain the two-body Coulomb modified nuclear amplitude as well as the pure Coulomb amplitude. The calculated phase shift are very good fitting with the experimental data.

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References

  1. Dreissigacker K., Popping H., Sauer P.U., Walliser H.: The use of Coulomb wavefunctions in momentum space for two-particles scattering. J. Phys. G 5, 1199–1210 (1979)

    Article  ADS  Google Scholar 

  2. Oryu S.: Two- and three-charged-particle nuclear scattering in momentum space: a two-potential theory and a boundary condition model. Phys. Rev. C 73, 054001 (2006)

    Article  ADS  Google Scholar 

  3. Oryu S.: Erratum: two- and three-charged-particle nuclear scattering in momentum space: a two-potential theory and a boundary condition model. Phys. Rev. C 76, 069901(E) (2007)

    Article  ADS  Google Scholar 

  4. Oryu S., Nishinohara S., Shiiki S., Chiba S.: Coulomb phase shift calculation in momentum space. Phys. Rev. C 75, 021001(R) (2007)

    Article  ADS  Google Scholar 

  5. Nishinohara S., Chiba S., Oryu S.: The Coulomb scattering in momentum space for few-body systems. Nucl. Phys. A 790, 277c–281c (2007)

    Article  ADS  Google Scholar 

  6. Bergervoet J.R., Van Campen P.C., Vander Sanden W.A., De Swart J.J.: Phase shift analysis of 0–30 MeV pp scattering data. Phys. Rev. C 38, 15–50 (1988)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Tokyo University of Science, Noda, 278-8510, Japan

    Y. Hiratsuka & S. Oryu

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  1. Y. Hiratsuka
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  2. S. Oryu
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Correspondence to Y. Hiratsuka.

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Hiratsuka, Y., Oryu, S. Two- and Three-Body Coulomb Solution Method in a Momentum Space. Few-Body Syst 54, 209–212 (2013). https://doi.org/10.1007/s00601-012-0357-7

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  • DOI: https://doi.org/10.1007/s00601-012-0357-7

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