Abstract
Faddeev calculations using the chiral three-nucleon force in next-to-next-to-next-to-leading-order show that this force is too weak to provide an explanation for the low-energy A y puzzle. The large discrepancy between data and theory for the neutron–neutron quasi-free-scattering cross section in low energy neutron–deuteron breakup requires a modification of the \({^{1}S_0}\) neutron–neutron force. We discuss the consequences that a bound \({^{1}S_0}\) state of two neutrons has on neutron–deuteron scattering observables. At higher energies we compare the solutions of the non-relativistic three-nucleon Faddeev equations with three-nucleon force included to the solutions of its Poincaré invariant version.
Article PDF
Similar content being viewed by others
References
Epelbaum E.: Few-nucleon forces and systems in chiral effective field theory. Prog. Part. Nucl. Phys. 57, 654–741 (2006)
Machleidt R., Entem D.R.: Chiral effective field theory and nuclear forces. Phys. Rep. 503, 1–75 (2011)
Bernard V. et al.: Subleading contributions to the chiral three-nucleon force: long-range terms. Phys. Rev. C 77, 064004–064016 (2008)
Bernard V. et al.: Subleading contributions to the chiral three-nucleon force. II. Short-range terms and relativistic corrections. Phys. Rev. C 84, 054001–054022 (2011)
Skibiński R. et al.: Triton with long-range chiral (N3LO) three-nucleon forces. Phys. Rev. C 84, 054005–054014 (2011)
Tornow W. et al.: The low-energy neutron–deuteron analyzing power and the \({^3P_{0,1,2}}\) interactions of nucleon–nucleon potentials. Phys. Lett. B 257, 273–277 (1991)
Krebs H., Gasparyan A., Epelbaum E.: Chiral three-nucleon force at N4LO: longest-range contributions. Phys. Rev. C 85, 054006–054020 (2012)
Setze H.R. et al.: Verification of the space-star anomaly in nd breakup. Phys. Lett. B 388, 229–234 (1996)
Siepe A. et al.: Neutron–proton and neutron–neutron quasifree scattering in the n-d breakup reaction at 26 MeV. Phys. Rev. C 65, 034010–034016 (2002)
Witała H., Glöckle W.: On the discrepancies in the low-energy neutron–deuteron breakup. J. Phys. G Nucl. Part. Phys. 37, 064003–064013 (2010)
Witała H., Glöckle W.: The nn quasifree nd breakup cross section: Discrepancies with theory and implications for the \({^1S_0}\) nn force. Phys. Rev. C 83, 034004–034011 (2011)
Witała H., Glöckle W.: Di-neutron and the three-nucleon continuum observables. Phys. Rev. C 85, 064003–064011 (2012)
Gonzales Trotter D.E. et al.: Neutron–deuteron breakup experiment at E n = 13 MeV: determination of the \({^1S_0}\) neutron–neutron scattering length a nn . Phys. Rev. C 73, 034001–034021 (2006)
Koori N.: Energy spectra of breakup protons from the D(n,p)2n reaction at 14.1 MeV neutrons. J. Phys. Soc. Jpn. 32, 306–315 (1972)
Haight R.C., Grimes S.M., Anderson J.D.: Measurement of the proton spectrum from the 2H(n,p)2n reaction at 13.98 MeV and the neutron–neutron scattering length. Phys. Rev. C 16, 97–106 (1977)
Shirato S., Koori N.: Measurements of the cross sections for n-d elastic and inelastic scattering at 14.1 MeV. Nucl. Phys. A 120, 387–400 (1968)
Golak J. et al.: Electron and photon scattering on three-nucleon bound states. Phys. Rep. 415, 89–205 (2005)
Witała H. et al.: Relativistic effects in neutron–deuteron elastic scattering. Phys. Rev. C 71, 054001–054012 (2005)
Witała H. et al.: Relativity and the low-energy nd A y puzzle. Phys. Rev. C 77, 034004–034016 (2008)
Witała H. et al.: Three-nucleon force in relativistic three-nucleon Faddeev calculations. Phys. Rev. C 83, 044001–044020 (2011)
Skibiński R. et al.: Relativistic effects in exclusive neutron–deuteron breakup. Eur. Phys. J. A 30, 369–380 (2006)
Hatanaka K. et al.: Cross section and complete set of proton spin observables in pd elastic scattering at 250 MeV. Phys. Rev. C 66, 044002–044011 (2002)
Maeda Y. et al.: Differential cross section and analyzing power measurements for nd elastic scattering at 248 MeV. Phys. Rev. C 76, 014004–014016 (2007)
Sekiguchi K. et al.: Complete set of precise deuteron analyzing powers at intermediate energies: comparison with modern nuclear force predictions. Phys. Rev. C 65, 034003–034018 (2002)
Author information
Authors and Affiliations
Corresponding author
Additional information
On 1 August 2012 Walter Glöckle passed away. We dedicate this paper to Walter, who was a great friend and collaborator.
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
About this article
Cite this article
Witała, H., Golak, J., Skibiński, R. et al. Calculations of Three-Nucleon Reactions. Few-Body Syst 54, 897–902 (2013). https://doi.org/10.1007/s00601-012-0540-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00601-012-0540-x