Low-energy neutron-deuteron reactions with N3LO chiral forces
Abstract
Here, we solve three-nucleon Faddeev equations with nucleon-nucleon and three-nucleon forces derived consistently in the framework of chiral perturbation theory at next-to-next-to-next-to-leading order in the chiral expansion. In this first investigation we include only matrix elements of the three-nucleon force for partial waves with the total two-nucleon (three-nucleon) angular momenta up to 3 (5/2). Low-energy neutron-deuteron elastic scattering and deuteron breakup reaction are studied. Emphasis is put on A y puzzle in elastic scattering and cross sections in symmetric-space-star and neutron-neutron quasi-free-scattering breakup configurations, for which large discrepancies between data and theory have been reported.
- Authors:
-
- Jagiellonian Univ., Krakow (Poland). M. Smoluchowski Inst. of Physics
- Ruhr Univ., Bochum (Germany). Inst. fuer Theoretische Physik II
- Kyushu Institute of Technology, Kitakyushu (Japan). Dept. of Physics
- Univ. Bonn, Bonn (Germany). Helmholtz-Institut fuer Strahlen- und Kernphysik and Bethe Center for Theoretical Physics; Julich Research Centre, Julich (Germany). Julich Center for Hadron Physics
- Inst. de Physique Nucleaire (IPN), Orsay (France)
- Iowa State Univ., Ames, IA (United States). Dept. of Physics and Astronomy
- Technische Univ. Darmstadt, Darmstadt (Germany). Inst. fur Kernphysik
- Technische Univ. Darmstadt, Darmstadt (Germany). Inst. fur Kernphysik; GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany). ExtreMe Matter Inst. (EMMI)
- Institut fur Kernphysik, Julich (Germany). Julich Center for Hadron Physics
- Publication Date:
- Research Org.:
- Iowa State Univ., Ames, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1441202
- Grant/Contract Number:
- FG02-87ER40371; SC0008485; SC0006758; AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- European Physical Journal. A
- Additional Journal Information:
- Journal Volume: 50; Journal Issue: 11; Journal ID: ISSN 1434-6001
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Chiral Perturbation Theory; Scattering Length; Faddeev Equation; Chiral Expansion; Breakup Reaction
Citation Formats
Golak, J., Skibinski, R., Topolnicki, K., Witala, H., Epelbaum, E., Krebs, H., Kamada, H., MeiBner, Ulf-G., Bernard, V., Maris, P., Vary, J., Binder, S., Calci, A., Hebeler, K., Langhammer, J., Roth, R., Nogga, A., Liebig, S., and Minossi, D. Low-energy neutron-deuteron reactions with N3LO chiral forces. United States: N. p., 2014.
Web. doi:10.1140/epja/i2014-14177-7.
Golak, J., Skibinski, R., Topolnicki, K., Witala, H., Epelbaum, E., Krebs, H., Kamada, H., MeiBner, Ulf-G., Bernard, V., Maris, P., Vary, J., Binder, S., Calci, A., Hebeler, K., Langhammer, J., Roth, R., Nogga, A., Liebig, S., & Minossi, D. Low-energy neutron-deuteron reactions with N3LO chiral forces. United States. https://doi.org/10.1140/epja/i2014-14177-7
Golak, J., Skibinski, R., Topolnicki, K., Witala, H., Epelbaum, E., Krebs, H., Kamada, H., MeiBner, Ulf-G., Bernard, V., Maris, P., Vary, J., Binder, S., Calci, A., Hebeler, K., Langhammer, J., Roth, R., Nogga, A., Liebig, S., and Minossi, D. Thu .
"Low-energy neutron-deuteron reactions with N3LO chiral forces". United States. https://doi.org/10.1140/epja/i2014-14177-7. https://www.osti.gov/servlets/purl/1441202.
@article{osti_1441202,
title = {Low-energy neutron-deuteron reactions with N3LO chiral forces},
author = {Golak, J. and Skibinski, R. and Topolnicki, K. and Witala, H. and Epelbaum, E. and Krebs, H. and Kamada, H. and MeiBner, Ulf-G. and Bernard, V. and Maris, P. and Vary, J. and Binder, S. and Calci, A. and Hebeler, K. and Langhammer, J. and Roth, R. and Nogga, A. and Liebig, S. and Minossi, D.},
abstractNote = {Here, we solve three-nucleon Faddeev equations with nucleon-nucleon and three-nucleon forces derived consistently in the framework of chiral perturbation theory at next-to-next-to-next-to-leading order in the chiral expansion. In this first investigation we include only matrix elements of the three-nucleon force for partial waves with the total two-nucleon (three-nucleon) angular momenta up to 3 (5/2). Low-energy neutron-deuteron elastic scattering and deuteron breakup reaction are studied. Emphasis is put on A y puzzle in elastic scattering and cross sections in symmetric-space-star and neutron-neutron quasi-free-scattering breakup configurations, for which large discrepancies between data and theory have been reported.},
doi = {10.1140/epja/i2014-14177-7},
journal = {European Physical Journal. A},
number = 11,
volume = 50,
place = {United States},
year = {Thu Nov 27 00:00:00 EST 2014},
month = {Thu Nov 27 00:00:00 EST 2014}
}
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Figures / Tables:
Fig. 1: The dependence of cE on cD for versions 201 (a) and 204 (b) of the N3LO chiral NN Hamiltonian under the condition that the experimental binding energy of 3H is reproduced. In (c) and (d) the corresponding values for doublet nd scattering length are shown. The experimental valuemore »
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Works referenced in this record:
Structure of Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory
journal, July 2007
- Navrátil, P.; Gueorguiev, V. G.; Vary, J. P.
- Physical Review Letters, Vol. 99, Issue 4
Quantum Monte Carlo calculations of nuclei with
journal, October 1997
- Pudliner, B. S.; Pandharipande, V. R.; Carlson, J.
- Physical Review C, Vol. 56, Issue 4
Differential cross section of the 2H(n, nnp)-reaction at En = 13MeV
journal, September 1989
- Strate, J.; Geissdörfer, K.; Lin, R.
- Nuclear Physics A, Vol. 501, Issue 1
Relativity and the low-energy puzzle
journal, March 2008
- Witała, H.; Golak, J.; Skibiński, R.
- Physical Review C, Vol. 77, Issue 3
Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995
- Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
- Physical Review C, Vol. 51, Issue 1
Nonlocal nature of the nuclear force and its impact on nuclear structure
journal, April 1996
- Machleidt, R.; Sammarruca, F.; Song, Y.
- Physical Review C, Vol. 53, Issue 4
Analyzing Power Measurements for ( ) Scattering at 10 MeV Compared to Few-Nucleon Calculations and Data for ( ) Scattering
journal, August 1982
- Tornow, W.; Howell, C. R.; Byrd, R. C.
- Physical Review Letters, Vol. 49, Issue 5
Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and
journal, January 2012
- Marcucci, L. E.; Kievsky, A.; Rosati, S.
- Physical Review Letters, Vol. 108, Issue 5
Elastic scattering and break-up processes in then-d system
journal, January 1988
- Witala, H.; Cornelius, T.; Gl�ckle, W.
- Few-Body Systems, Vol. 3, Issue 3
Neutron-proton and neutron-neutron quasifree scattering in the n-d breakup reaction at 26 MeV
journal, March 2002
- Siepe, A.; Deng, J.; Huhn, V.
- Physical Review C, Vol. 65, Issue 3
Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction
journal, November 2005
- Deltuva, A.; Fonseca, A. C.; Sauer, P. U.
- Physical Review C, Vol. 72, Issue 5
Relativistic effects in neutron-deuteron elastic scattering
journal, May 2005
- Witała, H.; Golak, J.; Glöckle, W.
- Physical Review C, Vol. 71, Issue 5
A three-nucleon break-up experiment in comparison with a Faddeev calculation
journal, November 1988
- Strate, J.; Geissdorfer, K.; Lin, R.
- Journal of Physics G: Nuclear Physics, Vol. 14, Issue 11
Phase shift analysis of all proton-proton scattering data below =350 MeV
journal, April 1990
- Bergervoet, J. R.; van Campen, P. C.; Klomp, R. A. M.
- Physical Review C, Vol. 41, Issue 4
A new way to perform partial-wave decompositions of few-nucleon forces
journal, December 2009
- Golak, J.; Rozpędzik, D.; Skibiński, R.
- The European Physical Journal A, Vol. 43, Issue 2
Subleading contributions to the three-nucleon contact interaction
journal, July 2011
- Girlanda, L.; Kievsky, A.; Viviani, M.
- Physical Review C, Vol. 84, Issue 1
Construction of high-quality NN potential models
journal, June 1994
- Stoks, V. G. J.; Klomp, R. A. M.; Terheggen, C. P. F.
- Physical Review C, Vol. 49, Issue 6
Few-nucleon forces and systems in chiral effective field theory
journal, October 2006
- Epelbaum, Evgeny
- Progress in Particle and Nuclear Physics, Vol. 57, Issue 2
Di-neutron and the three-nucleon continuum observables
journal, June 2012
- Witała, H.; Glöckle, W.
- Physical Review C, Vol. 85, Issue 6
Chiral three-nucleon force at N LO. II. Intermediate-range contributions
journal, May 2013
- Krebs, H.; Gasparyan, A.; Epelbaum, E.
- Physical Review C, Vol. 87, Issue 5
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003
- Entem, D. R.; Machleidt, R.
- Physical Review C, Vol. 68, Issue 4
Polarization observables in scattering below 30 MeV
journal, July 2001
- Kievsky, A.; Viviani, M.; Rosati, S.
- Physical Review C, Vol. 64, Issue 2
Local three-nucleon interaction from chiral effective field theory
journal, November 2007
- Navrátil, P.
- Few-Body Systems, Vol. 41, Issue 3-4
Resolution of discrepancy between backward angle cross-section data for neutron-deuteron elastic scattering
journal, September 1994
- Howell, C. R.; Tornow, W.; Setze, H. R.
- Few-Body Systems, Vol. 16, Issue 3
Triton binding energies for modern NN forces and the π-π exchange three-nucleon force
journal, September 1997
- Nogga, A.; Hüber, D.; Kamada, H.
- Physics Letters B, Vol. 409, Issue 1-4
Study of the kinematically complete breakup reaction 2H(p̄, pp)n at Ep = 3 Mev with polarized protons
journal, December 1991
- Rauprich, G.; Lemaître, S.; Niessen, P.
- Nuclear Physics A, Vol. 535, Issue 2
Do phase-shift analyses and nucleon-nucleon potential models yield the wrong phase shifts at low energies?
journal, February 1998
- Tornow, W.; Witała, H.; Kievsky, A.
- Physical Review C, Vol. 57, Issue 2
On the discrepancies in the low-energy neutron–deuteron breakup
journal, March 2010
- Witała, H.; Glöckle, W.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 6
Modern nuclear force predictions for the neutron-deuteron scattering lengths
journal, September 2003
- Witała, H.; Nogga, A.; Kamada, H.
- Physical Review C, Vol. 68, Issue 3
The two-nucleon system at next-to-next-to-next-to-leading order
journal, January 2005
- Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G.
- Nuclear Physics A, Vol. 747, Issue 2-4
Comparative study of three-nucleon force models in systems
journal, April 2010
- Kievsky, A.; Viviani, M.; Girlanda, L.
- Physical Review C, Vol. 81, Issue 4
Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV
journal, August 1993
- Stoks, V. G. J.; Klomp, R. A. M.; Rentmeester, M. C. M.
- Physical Review C, Vol. 48, Issue 2
Chiral effective field theory and nuclear forces
journal, June 2011
- Machleidt, R.; Entem, D. R.
- Physics Reports, Vol. 503, Issue 1
Three-nucleon force in relativistic three-nucleon Faddeev calculations
journal, April 2011
- Witała, H.; Golak, J.; Skibiński, R.
- Physical Review C, Vol. 83, Issue 4
The low-energy neutron-deuteron analyzing power and the 3P0,1,2 interactions of nucleon-nucleon potentials
journal, March 1991
- Tornow, W.; Howell, C. R.; Alohali, M.
- Physics Letters B, Vol. 257, Issue 3-4
The quasifree breakup cross section: Discrepancies with theory and implications for the force
journal, March 2011
- Witała, H.; Glöckle, W.
- Physical Review C, Vol. 83, Issue 3
Precision neutron interferometric measurements and updated evaluations of the and coherent neutron scattering lengths
journal, April 2003
- Schoen, K.; Jacobson, D. L.; Arif, M.
- Physical Review C, Vol. 67, Issue 4
Phase Shifts and Mixing Parameters for Elastic Neutron-Deuteron Scattering Above Breakup Threshold
journal, December 1995
- Hüber, D.; Golak, J.; Witala, H.
- Few-Body Systems, Vol. 19, Issue 4
Modern theory of nuclear forces
journal, December 2009
- Epelbaum, E.; Hammer, H. -W.; Meißner, Ulf-G.
- Reviews of Modern Physics, Vol. 81, Issue 4
Triton with long-range chiral N LO three-nucleon forces
journal, November 2011
- Skibiński, R.; Golak, J.; Topolnicki, K.
- Physical Review C, Vol. 84, Issue 5
Chiral three-nucleon force at N LO: Longest-range contributions
journal, May 2012
- Krebs, H.; Gasparyan, A.; Epelbaum, E.
- Physical Review C, Vol. 85, Issue 5
The Tucson-Melbourne three-nucleon force in the automatized partial-wave decomposition
journal, April 2011
- Skibiński, R.; Golak, J.; Topolnicki, K.
- The European Physical Journal A, Vol. 47, Issue 4
Subleading contributions to the chiral three-nucleon force. II. Short-range terms and relativistic corrections
journal, November 2011
- Bernard, V.; Epelbaum, E.; Krebs, H.
- Physical Review C, Vol. 84, Issue 5
Verification of the space-star anomaly in nd breakup
journal, November 1996
- Setze, H. R.; Howell, C. R.; Tornow, W.
- Physics Letters B, Vol. 388, Issue 2
Modern NN force predictions for the total nd cross section up to 300 MeV
journal, June 1999
- Witała, H.; Kamada, H.; Nogga, A.
- Physical Review C, Vol. 59, Issue 6
Erratum: Three-nucleon force in relativistic three-nucleon Faddeev calculations [Phys. Rev. C 83 , 044001 (2011)]
journal, December 2013
- Witała, H.; Golak, J.; Skibiński, R.
- Physical Review C, Vol. 88, Issue 6
Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
journal, September 2009
- Gazit, Doron; Quaglioni, Sofia; Navrátil, Petr
- Physical Review Letters, Vol. 103, Issue 10
Three-nucleon forces from chiral effective field theory
journal, December 2002
- Epelbaum, E.; Nogga, A.; Glöckle, W.
- Physical Review C, Vol. 66, Issue 6
The three-nucleon continuum: achievements, challenges and applications
journal, September 1996
- Glöckle, W.; Witała, H.; Hüber, D.
- Physics Reports, Vol. 274, Issue 3-4
elastic scattering as a tool to probe properties of forces
journal, January 2001
- Witała, H.; Glöckle, W.; Golak, J.
- Physical Review C, Vol. 63, Issue 2
Subleading contributions to the chiral three-nucleon force: Long-range terms
journal, June 2008
- Bernard, V.; Epelbaum, E.; Krebs, H.
- Physical Review C, Vol. 77, Issue 6
Two-pion exchange three-nucleon potential: chiral expansion
journal, July 2007
- Ishikawa, S.; Robilotta, M. R.
- Physical Review C, Vol. 76, Issue 1
Triton calculations with the new Nijmegen potentials
journal, July 1993
- Friar, J. L.; Payne, G. L.; Stoks, V. G. J.
- Physics Letters B, Vol. 311, Issue 1-4
Cross Section Minima in Elastic Scattering: Possible Evidence for Three-Nucleon Force Effects
journal, August 1998
- Witała, H.; Glöckle, W.; Hüber, D.
- Physical Review Letters, Vol. 81, Issue 6
Inadequacies of the Nonrelativistic Hamiltonian in Describing the Total Cross Section
journal, July 1998
- Abfalterer, W. P.; Bateman, F. B.; Dietrich, F. S.
- Physical Review Letters, Vol. 81, Issue 1
Calculations of three-nucleon reactions with N 3 LO chiral forces: achievements and challenges
journal, July 2014
- Witała, H.; Golak, J.; Skibiński, R.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 9
Reworking the Tucson-Melbourne Three-Nucleon Potential
journal, April 2001
- Coon, S. A.; Han, H. K.
- Few-Body Systems, Vol. 30, Issue 1-2
Complete set of precise deuteron analyzing powers at intermediate energies: Comparison with modern nuclear force predictions
journal, February 2002
- Sekiguchi, K.; Sakai, H.; Witała, H.
- Physical Review C, Vol. 65, Issue 3
Few-nucleon forces and systems in chiral effective field theory
journal, November 2008
- Epelbaum, E.
- Few-Body Systems, Vol. 43, Issue 1-4
Relativistic Effects in Neutron-Deuteron Elastic Scattering
conference, January 2012
- Witała, H.; Golak, J.; Glöckle, W.
- Proceedings of the 3rd Asia-Pacific Conference, Few-Body Problems in Physics
Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction
other, January 2005
- Deltuva, A.; Fonseca, A. C.; Sauer, P. U.
- College Park, MD : American Physical Society
Local three-nucleon interaction from chiral effective field theory
text, January 2007
- Navratil, Petr
- arXiv
Subleading contributions to the chiral three-nucleon force I: long-range terms
text, January 2007
- Bernard, V.; Epelbaum, E.; Krebs, H.
- arXiv
Modern Theory of Nuclear Forces
text, January 2008
- Epelbaum, Evgeny; Hammer, Hans-Werner; Meißner, Ulf-G.
- arXiv
On the discrepancies in the low energy neutron-deuteron breakup
text, January 2009
- Witala, H.; Glockle, W.
- arXiv
The Tucson-Melbourne Three-Nucleon Force in the automatized Partial Wave Decomposition
text, January 2011
- Skibinski, R.; Golak, J.; Topolnicki, K.
- arXiv
Chiral effective field theory and nuclear forces
text, January 2011
- Machleidt, R.; Entem, D. R.
- arXiv
The triton with long-range chiral N3LO three nucleon forces
text, January 2011
- Skibinski, R.; Golak, J.; Topolnicki, K.
- arXiv
Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections
text, January 2011
- Bernard, V.; Epelbaum, E.; Krebs, H.
- arXiv
Precision neutron interferometric measurements and updated evaluations of the n-p and n-d coherent neutron scattering lengths
text, January 2003
- Schoen, K.; Jacobson, D. L.; Arif, M.
- arXiv
Reworking the Tucson-Melbourne Three-Nucleon Potential
text, January 2001
- Coon, S. A.; Han, H. K.
- arXiv
Polarization observables in p-d scattering below 30 MeV
text, January 2001
- Kievsky, A.; Viviani, M.; Rosati, S.
- arXiv
Three-Nucleon Forces from Chiral Effective Field Theory
text, January 2002
- Epelbaum, E.; Nogga, A.; Glöckle, W.
- arXiv
Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
text, January 2003
- Entem, D. R.; Machleidt, R.
- arXiv
Triton calculations with the new Nijmegen potentials
text, January 1993
- Friar, J. L.; Payne, G. L.; Stoks, V. G. J.
- arXiv
An accurate nucleon-nucleon potential with charge-independence breaking
text, January 1994
- Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
- arXiv
Works referencing / citing this record:
Investigation of the Deuteron Breakup on Proton Target in the Forward Angular Region at 130 MeV
journal, July 2015
- Ciepał, I.; Kłos, B.; Kistryn, St.
- Few-Body Systems, Vol. 56, Issue 10
Modern Chiral Forces Applied to the Nucleon–Deuteron Radiative Capture
journal, January 2017
- Skibiński, Roman; Golak, Jacek; Topolnicki, Kacper
- Few-Body Systems, Vol. 58, Issue 2
The radius of the canonical-mass neutron star and chiral effective field theory
journal, January 2019
- Sammarruca, F.; Millerson, Randy
- Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 2
Nucleon-deuteron scattering with the JISP16 potential
journal, January 2018
- Skibiński, R.; Golak, J.; Topolnicki, K.
- Physical Review C, Vol. 97, Issue 1
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journal, May 2019
- Girlanda, L.; Kievsky, A.; Viviani, M.
- Physical Review C, Vol. 99, Issue 5
Three-body spectrum in a finite volume: the role of cubic symmetry
text, January 2018
- Döring, M.; Hammer, H. -W.; Mai, M.
- GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt
Three-nucleon system: Irreducible and reducible contributions of the three-nucleon force
other, January 2015
- Deltuva, A.; Sauer, P. U.
- College Park, MD : American Physical Society
Precision nucleon-nucleon potential at fifth order in the chiral expansion
text, January 2014
- Epelbaum, E.; Krebs, H.; Meißner, U. -G.
- arXiv
Testing semi-local chiral two-nucleon interaction in selected electroweak processes
text, January 2016
- Skibinski, R.; Golak, J.; Topolnicki, K.
- arXiv
Nucleon-deuteron scattering with the JISP16 potential
text, January 2017
- Skibinski, R.; Golak, J.; Topolnicki, K.
- arXiv
Light-nuclei spectra from chiral dynamics
text, January 2017
- Piarulli, M.; Baroni, A.; Girlanda, L.
- arXiv
Historical perspective and future prospects for nuclear interactions
text, January 2017
- Machleidt, R.
- arXiv
Three-body spectrum in a finite volume: the role of cubic symmetry
text, January 2018
- Döring, M.; Hammer, H. -W.; Mai, M.
- arXiv
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
text, January 2018
- Epelbaum, E.; Golak, J.; Hebeler, K.
- arXiv
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