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Improving the convergence of the chiral expansion for nuclear forces - II: Low phases and the deuteron

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Abstract.

Recently, we have proposed a new cut-off scheme for pion loop integrals in the two-pion exchange potential. This method allows for a consistent implementation of constraints from pion-nucleon scattering and has been successfully applied to peripheral nucleon-nucleon partial waves. We now consider low partial waves in the non-perturbative regime, where the regularized Lippmann-Schwinger equation has to be solved in order to generate the bound and scattering states. We observe an improved description of most of the phase shifts when going from next-to- to next-to-next-to-leading order in the chiral expansion. We also find a good description of the deuteron properties. In addition, the new cut-off scheme allows to avoid the presence of unphysical deeply bound states. We discuss the cut-off dependence of the four-nucleon low-energy constants and show that their numerical values can be understood in terms of resonance saturation. This connects the effective field theory approach to boson exchange phenomenology.

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References

  1. E. Epelbaum, W. Glöckle, U.-G. Meißner, Eur. Phys. J. A 19, 125 (2003).

    Google Scholar 

  2. N. Kaiser, R. Brockmann, W. Weise, Nucl. Phys. A 625, 758 (1997).

    Article  Google Scholar 

  3. P. Büttiker, U.-G. Meißner, Nucl. Phys. A 668, 97 (2000).

    Article  Google Scholar 

  4. D.R. Entem, R. Machleidt, Phys. Rev. C 66, 014002 (2002).

    Article  Google Scholar 

  5. E. Epelbaum, U.-G. Meißner, W. Glöckle, in preparation.

  6. V. Bernard, Th.R. Hemmert, U.-G. Meißner, hep-ph/0307115.

  7. M.C.M. Rentmeester, R.G.E. Timmermans, J.J. de Swart, Phys. Rev. C 67, 044001 (2003).

    Article  Google Scholar 

  8. E. Epelbaum, W. Glöckle, U.-G. Meißner, Nucl. Phys. A 671, 295 (2000).

    Article  Google Scholar 

  9. P. Lepage, nucl-th/9706029.

  10. J. Gegelia, G. Japaridze, Phys. Lett. B 517, 476 (2001).

    Article  Google Scholar 

  11. E. Epelbaum, A. Nogga, W. Glöckle, H. Kamada, U.-G. Meißner, H. Witala, Eur. Phys. J. A 15, 543 (2002).

    Article  Google Scholar 

  12. E. Epelbaum, U.-G. Meißner, W. Glöckle, Ch. Elster, Phys. Rev. C 65, 044001 (2002).

    Article  Google Scholar 

  13. V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Phys. Rev. C 48, 792 (1993).

    Article  Google Scholar 

  14. M.C.M. Rentmeester, private communication (1999).

  15. J.J. de Swart, C.P.F. Terheggen, V.G.J. Stoks, nucl-th/9509032.

  16. T.D. Cohen, J.M. Hansen, Phys. Rev. C 59, 13 (1999).

    Article  Google Scholar 

  17. D. Phillips, AIP Conf. Proc. 603, 149 (2001).

    Article  Google Scholar 

  18. M. Walzl, U.-G. Meißner, Phys. Lett. B 513, 37 (2001).

    Article  Google Scholar 

  19. R. Machleidt, Adv. Nucl. Phys. 19, 189 (1989).

    Google Scholar 

  20. V.G.J. Stoks, Phys. Rev. C 49, 2950 (1994).

    Article  Google Scholar 

  21. P.F. Bedaque, H.-W. Hammer, U. van Kolck, Phys. Rev. Lett. 82, 463 (1999).

    Article  Google Scholar 

  22. D. R. Entem, R. Machleidt, arXiv:nucl-th/0304018.

  23. E. Epelbaum, U.-G. Meißner, W. Glöckle, Nucl. Phys. A 714, 535 (2003).

    Article  MATH  Google Scholar 

  24. S. R. Beane, M. J. Savage, Nucl. Phys. A 713, 148 (2003).

    Article  Google Scholar 

  25. S. R. Beane, M. J. Savage, Nucl. Phys. A 717, 91 (2003).

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44870, Bochum, Germany

    E. Epelbaum & W. Glöckle

  2. Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn, Nußallee 14-16, D-53115, Bonn, Germany

    U.-G. Meißner

  3. Jefferson Laboratory, VA 23606, Newport News, USA

    E. Epelbaum

Authors
  1. E. Epelbaum
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  2. W. Glöckle
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  3. U.-G. Meißner
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Correspondence to E. Epelbaum.

Additional information

Communicated by V. Vento

Received: 11 August 2003, Revised: 23 September 2003, Published online: 20 January 2004

PACS:

13.75.Cs Nucleon-nucleon interactions (including antinucleons, deuterons, etc.) - 21.30.-x Nuclear forces - 12.39.Fe Chiral Lagrangians

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Epelbaum, E., Glöckle, W. & Meißner, UG. Improving the convergence of the chiral expansion for nuclear forces - II: Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). https://doi.org/10.1140/epja/i2003-10129-8

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