Abstract
Relativistic covariance restricts the number of two-nucleon contact operators. We show that these constraints can be implemented starting from a complete set of relativistically invariant contact operators up to order Q in the parity-violating sector and order Q 2 in the parity-conserving one.
Similar content being viewed by others
References
Weinberg S.: Nuclear forces from chiral Lagrangians. Phys. Lett. B 251, 288 (1990)
Weinberg S.: Effective chiral Lagrangians for nucleon–pion interactions and nuclear forces. Nucl. Phys. B 363, 3 (1991)
Weinberg S.: Three body interactions among nucleons and pions. Phys. Lett. B 295, 114 (1992)
Bernard V., Kaiser N., Meissner U.G.: Chiral dynamics in nucleons and nuclei. Int. J. Mod. Phys. E 4, 193 (1995)
van Kolck U.: Effective field theory of nuclear forces. Prog. Part. Nucl. Phys. 43, 337 (1999)
Bedaque P.F., van Kolck U.: Effective field theory for few-nucleon systems. Ann. Rev. Nucl. Part. Sci. 52, 339 (2002)
Epelbaum E.: Few-nucleon forces and systems in chiral effective field theory. Prog. Part. Nucl. Phys. 57, 654 (2006)
Epelbaum E., Hammer H.W., Meissner U.G.: Modern theory of nuclear forces. Rev. Mod. Phys. 81, 1773 (2009)
Kaplan, D.B., Savage, M.J.: An analysis of parity violating pion–nucleon couplings, Nucl. Phys. A 556, 653 (1993) [Erratum-ibid. A 570, 833 (1994)] [Erratum-ibid. A 580, 679 (1994)]
Zhu, S.L., Maekawa, C.M., Holstein, B.R., Ramsey-Musolf, M.J., van Kolck, U.: Nuclear parity-violation in effective field theory. Nucl. Phys. A 748, 435 (2005) arXiv:nucl-th/0407087
Girlanda L., Pastore S., Schiavilla R., Viviani M.: Relativity constraints on the two-nucleon contact interaction. Phys. Rev. C 81, 034005 (2010)
Ordonez C., Ray L., van Kolck U.: The two-nucleon potential from chiral Lagrangians. Phys. Rev. C 53, 2086 (1996)
Pastore S., Girlanda L., Schiavilla R., Viviani M., Wiringa R.B.: Electromagnetic currents and magnetic moments in χEFT. Phys. Rev. C 80, 034004 (2009)
Epelbaum, E.: Ph.D. thesis (Bochum, 2000) unpublished
Epelbaum, E., Meissner, U.G., Gloeckle, W., Elster, C.: Resonance saturation for four-nucleon operators. Phys. Rev. C 65, 044001 (2002) arXiv:nucl-th/0106007
Girlanda, L., Pastore, S., Schiavilla, R., Viviani, M.: unpublished
Girlanda L.: Redundancy in the parity-violating 2-nucleon contact Lagrangian. Phys. Rev. C 77, 067001 (2008)
Author information
Authors and Affiliations
Corresponding author
Additional information
Relativistic Description of Two- and Three-Body Systems in Nuclear Physics, ECT*, October 19-13 2009.
Rights and permissions
About this article
Cite this article
Girlanda, L., Viviani, M. Relativistic Covariance of the 2-Nucleon Contact Interactions. Few-Body Syst 49, 51–60 (2011). https://doi.org/10.1007/s00601-010-0185-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00601-010-0185-6