Skip to main content
Log in

Nuclear forces with Δ excitations up to next-to-next-to-leading order, part I: Peripheral nucleon-nucleon waves

The European Physical Journal A Aims and scope Submit manuscript

Abstract.

We study the two-nucleon force at next-to-next-to-leading order in a chiral effective field theory with explicit Δ degrees of freedom. Fixing the appearing low-energy constants from a next-to-leading-order calculation of pion-nucleon threshold parameters, we find an improved convergence of most peripheral nucleon-nucleon phases compared to the theory with pions and nucleons only. In the delta-full theory, the next-to-leading-order corrections are dominant in most partial waves considered.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. P.F. Bedaque, U. van Kolck, Annu. Rev. Nucl. Part. Sci. 52, 339 (2002) nucl-th/0203055.

    Article  ADS  Google Scholar 

  2. E. Epelbaum, Prog. Part. Nucl. Phys. 57, 654 (2006) nucl-th/0509032.

    Article  ADS  Google Scholar 

  3. N. Fettes, U.-G. Meißner, Nucl. Phys. A 676, 311 (2000) hep-ph/0002162.

    Article  ADS  Google Scholar 

  4. T.R. Hemmert, B.R. Holstein, J. Kambor, J. Phys. G 24, 1831 (1998) hep-ph/9712496.

    Article  ADS  Google Scholar 

  5. N. Fettes, U.-G. Meißner, Nucl. Phys. A 679, 629 (2001) hep-ph/0006299.

    Article  ADS  Google Scholar 

  6. C. Hanhart, Phys. Rep. 397, 155 (2004) hep-ph/0311341.

    Article  ADS  Google Scholar 

  7. C. Ordóñez, L. Ray, U. van Kolck, Phys. Rev. C 53, 2086 (1996) hep-ph/9511380.

    Article  ADS  Google Scholar 

  8. N. Kaiser, S. Gerstendorfer, W. Weise, Nucl. Phys. A 637, 395 (1998) nucl-th/9802071.

    Article  ADS  Google Scholar 

  9. E. Epelbaum, W. Glöckle, U.-G. Meißner, Eur. Phys. J. A 19, 125 (2004) nucl-th/0304037.

    Article  ADS  Google Scholar 

  10. V. Bernard, N. Kaiser, U.-G. Meißner, Nucl. Phys. A 615, 483 (1997) hep-ph/9611253.

    Article  ADS  Google Scholar 

  11. N. Fettes, U.-G. Meißner, S. Steininger, Nucl. Phys. A 640, 199 (1998) hep-ph/9803266.

    Article  ADS  Google Scholar 

  12. N. Kaiser, R. Brockmann, W. Weise, Nucl. Phys. A 625, 758 (1997) nucl-th/9706045.

    Article  ADS  Google Scholar 

  13. H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phys. Rev. 105, 302 (1957).

    Article  ADS  Google Scholar 

  14. D.R. Entem, R. Machleidt, Phys. Rev. C 66, 014002 (2002) nucl-th/0202039.

    Article  ADS  Google Scholar 

  15. E. Epelbaum, W. Glöckle, U.-G. Meißner, Nucl. Phys. A 747, 362 (2005) nucl-th/0405048.

    Article  ADS  Google Scholar 

  16. E. Epelbaum, W. Glöckle, U.-G. Meißner, Eur. Phys. J. A 19, 401 (2004) nucl-th/0308010.

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  18. M.C.M. Rentmeester, NN-Online program, http:// nn-online.org.

  19. R.A. Arndt, SAID on-line program, http:// gwdac.phys.gwu.edu.

  20. H. Krebs, E. Epelbaum, U.-G. Meißner, in preparation.

  21. N. Kaiser, Phys. Rev. C 63, 044010 (2001) nucl-th/0101052.

    Article  ADS  Google Scholar 

  22. J.-I. Fujita, H. Miyazawa, Prog. Theor. Phys. 17, 360 (1957).

    Article  ADS  Google Scholar 

  23. V.R. Pandharipande, D.R. Phillips, U. van Kolck, Phys. Rev. C 71, 064002 (2005) nucl-th/0501061.

    Article  ADS  Google Scholar 

  24. G.Q. Li, R. Machleidt, Phys. Rev. C 58, 3153 (1998) nucl-th/9807080.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. Epelbaum.

Additional information

Th. Walcher

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krebs, H., Epelbaum, E. & Meißner, U.G. Nuclear forces with Δ excitations up to next-to-next-to-leading order, part I: Peripheral nucleon-nucleon waves. Eur. Phys. J. A 32, 127–137 (2007). https://doi.org/10.1140/epja/i2007-10372-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epja/i2007-10372-y

PACS.

Navigation