Skip to main content
Log in

A study of the parity-odd nucleon-nucleon potential

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal A Aims and scope Submit manuscript

Abstract

We investigate the parity-violating nucleon-nucleon potential as obtained in chiral effective field theory. By using resonance saturation we compare the chiral potential to the more traditional one-meson-exchange potential. In particular, we show how parameters appearing in the different approaches can be compared with each other and demonstrate that analyses of parity violation in proton-proton scattering within the different approaches are in good agreement. In the second part of this work, we extend the parity-violating potential to next-to-next-to-leading order. We show that generally it includes both one-pion- and two-pion-exchange corrections, but the former play no significant role. The two-pion-exchange corrections depend on five new low-energy constants which only become important if the leading-order weak pion-nucleon constant h π turns out to be very small.

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.

Similar content being viewed by others

References

  1. S. Kistryn, J. Lang, J. Liechti, T. Maier, R. Muller, F. Nessi-Tedaldi, M. Simonius, J. Smyrski et al., Phys. Rev. Lett. 58, 1616 (1987).

    Article  ADS  Google Scholar 

  2. P.D. Eversheim, W. Schmitt, S.E. Kuhn, F. Hinterberger, P. von Rossen, J. Chlebek, R. Gebel, U. Lahr et al., Phys. Lett. B 256, 11 (1991).

    Article  ADS  Google Scholar 

  3. TRIUMF E497 Collaboration (A.R. Berdoz et al.), Phys. Rev. Lett. 87, 272301 (2001).

    Article  Google Scholar 

  4. R. Henneck, C. Jacquemart, J. Lang, R. Muller, T. Roser, M. Simonius, F. Tedaldi, W. Haeberli et al., Phys. Rev. Lett. 48, 725 (1982).

    Article  ADS  Google Scholar 

  5. J. Lang, T. Maier, R. Muller, F. Nessi-Tedaldi, T. Roser, M. Simonius, J. Sromicki, W. Haeberli, Phys. Rev. Lett. 54, 170 (1985).

    Article  ADS  Google Scholar 

  6. K. Elsener, W. Grubler, V. Konig, P.A. Schmelzbach, J. Ulbricht, D. Singy, C. Forstner, W.Z. Zhang et al., Phys. Rev. Lett. 52, 1476 (1984).

    Article  ADS  Google Scholar 

  7. K. Elsener, W. Grubler, V. Konig, P.A. Schmelzbach, J. Ulbricht, B. Vuaridel, D. Singy, C. Forstner et al., Nucl. Phys. A 461, 579 (1987).

    Article  ADS  Google Scholar 

  8. C.S. Wood, S.C. Bennett, D. Cho, B.P. Masterson, J.L. Roberts, C.E. Tanner, C.E. Wieman, Science 275, 1759 (1997).

    Article  Google Scholar 

  9. J.F. Cavaignac, B. Vignon, R. Wilson, Phys. Lett. B 67, 148 (1977).

    Article  ADS  Google Scholar 

  10. M.T. Gericke, R. Alarcon, S. Balascuta, L. Barron-Palos, C. Blessinger, J.D. Bowman, R.D. Carlini, W. Chen et al., Phys. Rev. C 83, 015505 (2011).

    Article  ADS  Google Scholar 

  11. E.G. Adelberger, M.M. Hindi, C.D. Hoyle, H.E. Swanson, R.D. Von Lintig, W.C. Haxton, Phys. Rev. C 27, 2833 (1983).

    Article  ADS  Google Scholar 

  12. S.A. Page, H.C. Evans, G.T. Ewan, S.P. Kwan, J.R. Leslie, J.D. Macarthur, W. Mclatchie, P. Skensved et al., Phys. Rev. C 35, 1119 (1987).

    Article  ADS  Google Scholar 

  13. W.C. Haxton, B.R. Holstein, Prog. Part. Nucl. Phys. 71, 185 (2013).

    Article  ADS  Google Scholar 

  14. M.R. Schindler, R.P. Springer, Prog. Part. Nucl. Phys. 72, 1 (2013).

    Article  ADS  Google Scholar 

  15. B. Desplanques, J.F. Donoghue, B.R. Holstein, Ann. Phys. 124, 449 (1980).

    Article  ADS  Google Scholar 

  16. V. Bernard, U.-G. Meißner, Annu. Rev. Nucl. Part. Sci. 57, 33 (2007).

    Article  ADS  Google Scholar 

  17. E. Epelbaum, H.-W. Hammer, U.-G. Meißner, Rev. Mod. Phys. 81, 1773 (2009).

    Article  ADS  Google Scholar 

  18. R. Machleidt, D.R. Entem, Phys. Rep. 503, 1 (2011).

    Article  ADS  Google Scholar 

  19. D.B. Kaplan, M.J. Savage, Nucl. Phys. A 556, 653 (1993) 570.

    Article  ADS  Google Scholar 

  20. M.J. Savage, R.P. Springer, Nucl. Phys. A 644, 235 (1998) 657.

    Article  ADS  Google Scholar 

  21. D.B. Kaplan, M.J. Savage, R.P. Springer, M.B. Wise, Phys. Lett. B 449, 1 (1999).

    Article  ADS  Google Scholar 

  22. M.J. Savage, Nucl. Phys. A 695, 365 (2001).

    Article  ADS  Google Scholar 

  23. S.-L. Zhu, C.M. Maekawa, B.R. Holstein, M.J. Ramsey-Musolf, U. van Kolck, Nucl. Phys. A 748, 435 (2005).

    Article  ADS  Google Scholar 

  24. L. Girlanda, Phys. Rev. C 77, 067001 (2008).

    Article  ADS  Google Scholar 

  25. N. Kaiser, Phys. Rev. C 76, 047001 (2007).

    Article  ADS  Google Scholar 

  26. J. de Vries, U.-G. Meißner, E. Epelbaum, N. Kaiser, Eur. Phys. J. A 49, 149 (2013).

    Article  ADS  Google Scholar 

  27. M. Viviani, A. Baroni, L. Girlanda, A. Kievsky, L.E. Marcucci, R. Schiavilla, Phys. Rev. C 89, 064004 (2014).

    Article  ADS  Google Scholar 

  28. H.W. Griesshammer, M.R. Schindler, Eur. Phys. J. A 46, 73 (2010).

    Article  ADS  Google Scholar 

  29. H.W. Griesshammer, M.R. Schindler, R.P. Springer, Eur. Phys. J. A 48, 7 (2012).

    Article  ADS  Google Scholar 

  30. V.M. Dubovik, S.V. Zenkin, Ann. Phys. 172, 100 (1986).

    Article  ADS  Google Scholar 

  31. N. Kaiser, U.-G. Meißner, Nucl. Phys. A 499, 699 (1989).

    Article  ADS  Google Scholar 

  32. G. B. Feldman, G.A. Crawford, J. Dubach, B.R. Holstein, Phys. Rev. C 43, 863 (1991).

    Article  ADS  Google Scholar 

  33. U.-G. Meißner, H. Weigel, Phys. Lett. B 447, 1 (1999).

    Article  ADS  Google Scholar 

  34. J. Wasem, Phys. Rev. C 85, 022501 (2012).

    Article  ADS  Google Scholar 

  35. D.R. Phillips, M.R. Schindler, R.P. Springer, Nucl. Phys. A 822, 1 (2009).

    Article  ADS  Google Scholar 

  36. B.R. Holstein, Eur. Phys. J. A 41, 279 (2009).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. J.C. Berengut, E. Epelbaum, V.V. Flambaum, C. Hanhart, U.-G. Meißner, J. Nebreda, J.R. Pelaez, Phys. Rev. D 87, 085018 (2013).

    Article  ADS  Google Scholar 

  39. E. Epelbaum, W. Gloeckle, U.-G. Meißner, Eur. Phys. J. A 19, 125 (2004).

    Article  ADS  Google Scholar 

  40. J. Carlson, R. Schiavilla, V.R. Brown, B.F. Gibson, Phys. Rev. C 65, 035502 (2002).

    Article  ADS  Google Scholar 

  41. E. Epelbaum, W. Glöckle, U.-G. Meißner, Nucl. Phys. A 747, 362 (2005).

    Article  ADS  Google Scholar 

  42. V. Bernard, N. Kaiser, U.-G. Meißner, Int. J. Mod. Phys. E 4, 193 (1995).

    Article  ADS  Google Scholar 

  43. S.-L. Zhu, S.J. Puglia, B.R. Holstein, M.J. Ramsey-Musolf, Phys. Rev. D 63, 033006 (2001).

    Article  ADS  Google Scholar 

  44. N. Fettes, U.-G. Meißner, S. Steininger, Nucl. Phys. A 640, 199 (1998).

    Article  ADS  Google Scholar 

  45. P. Buettiker, U.-G. Meißner, Nucl. Phys. A 668, 97 (2000).

    Article  ADS  Google Scholar 

  46. V. Bernard, N. Kaiser, U.-G. Meißner, Nucl. Phys. A 615, 483 (1997).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. de Vries.

Additional information

Communicated by B. Ananthanarayan

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

de Vries, J., Li, N., Meißner, UG. et al. A study of the parity-odd nucleon-nucleon potential. Eur. Phys. J. A 50, 108 (2014). https://doi.org/10.1140/epja/i2014-14108-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/i2014-14108-8

Keywords

Navigation