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Poincaré Invariant Three-Body Scattering

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Abstract

Relativistic Faddeev equations for three-body scattering are solved at arbitrary energies in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is incorporated withing the framework of Poincaré invariant quantum mechanics. Based on a Malfliet–Tjon interaction, observables for elastic and breakup scattering are calculated and compared to non-relativistic ones.

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References

  1. Wigner E.P.: On Unitary Representations of the Inhomogeneous Lorentz Group. Ann. Math. C 40, 149 (1939)

    Article  MathSciNet  Google Scholar 

  2. Glöckle W., Witała H., Hüber D., Kamada H.: The three-nucleon continuum: achievements, challenges and applications. J. Golak. Phys. Rep. 274, 107 (1996)

    Article  ADS  Google Scholar 

  3. Liu H., Elster Ch., Glöckle W.: Three-body scattering at intermediate energies. Phys. Rev. C 72, 054003 (2005)

    Article  ADS  Google Scholar 

  4. Lin T., Elster Ch., Polyzou W.N., Glöckle W.: First order relativistic three-body scattering. Phys. Rev. C 76, 014010 (2007)

    Article  ADS  Google Scholar 

  5. Coester F.: Scattering theory for relativistic particles. Helv. Phys. Acta. 38, 7 (1965)

    MATH  MathSciNet  Google Scholar 

  6. Coester F., Piper S.C., Serduke F.J.D.: Relativistic effects in phenomenological nucleon-nucleon potentials and nuclear matter. Phys. Rev. C 11, 1 (1975)

    Article  ADS  Google Scholar 

  7. Keister B.D., Polyzou W.N.: Quantitative relativistic effects in the three-nucleon problem. Phys. Rev. C 73, 014005 (2006)

    Article  ADS  Google Scholar 

  8. Lin T., Elster Ch., Polyzou W.N., Glöckle W.: Relativistic effects in exclusive pd breakup scattering at intermediate energies. Phys. Lett. B 660, 345 (2008)

    Article  ADS  Google Scholar 

  9. Lin T., Elster Ch., Polyzou W.N., Witała H., Glöckle W.: Poincaré invariant three-body scattering at intermediate energies. Phys. Rev. C 78, 024002 (2008)

    Article  ADS  Google Scholar 

  10. Punjabi V. et al.: 2H(p,2p)n at 508 MeV: recoil momenta ≤ 200 MeV/c. Phys. Rev. C 38, 2728 (1988)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics and Astronomy, Institute of Nuclear and Particle Physics, Ohio University, Athens, OH, 45701, USA

    Ch. Elster & T. Lin

  2. Department of Physics and Astronomy, The University of Iowa, Iowa City, IA, 52242, USA

    W. N. Polyzou

  3. Institute for Theoretical Physics II, Ruhr-University Bochum, 44780, Bochum, Germany

    W. Glöckle

Authors
  1. Ch. Elster
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  2. T. Lin
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  3. W. N. Polyzou
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  4. W. Glöckle
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Corresponding author

Correspondence to Ch. Elster.

Additional information

This article is based on the presentation by Charlotte Elster at the Fifth Workshop on Critical Stability, Erice, Sicily.

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Elster, C., Lin, T., Polyzou, W.N. et al. Poincaré Invariant Three-Body Scattering. Few-Body Syst 45, 157–160 (2009). https://doi.org/10.1007/s00601-009-0019-6

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  • DOI: https://doi.org/10.1007/s00601-009-0019-6

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