Abstract
The chiral nucleon–nucleon interaction with semi-local regularization up to the fifth order of chiral expansion is applied to the nucleon–deuteron radiative capture process. Our theoretical approach is based on the formalism of Faddeev equations and the Siegert theorem is exploited to construct the electromagnetic current operator. The very weak dependence of the differential cross section on values of the regularization parameter is observed. This suggests that the improved chiral two-body interaction is a promising starting point to study electromagnetic processes at low energies.
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E. Epelbaum et al., Improved chiral nucleon–nucleon potential up to next-to-next-to-next-to-leading order. Eur. Phys. J. A 51, 5,53 (2015)
E. Epelbaum et al., Precision nucleon–nucleon potential at fifth order in the chiral expansion. Phys. Rev. Lett. 115, 12,122301 (2015)
E. Epelbaum et al., Nuclear forces from chiral Lagrangians using the method of unitary transformation. 1. Formalism. Nucl. Phys. A637, 107 (1998)
E. Epelbaum et al., The two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362 (2005)
E. Epelbaum et al., Modern theory of nuclear forces. Rev. Mod. Phys. 81, 1773 (2009)
E. Epelbaum et al., Three nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064001 (2002)
H. Witała et al., Calculations of three-nucleon reactions with N\(^3\)LO chiral forces: achievements and challenges. J. Phys. G: Nucl. Part. Phys. 41, 094011 (2014)
J. Golak et al., Low-energy neutron–deuteron reactions with N\(^3\)LO chiral forces. Eur. Phys. J. A 50, 177 (2014)
R. Skibiński et al., Nucleon–deuteron capture with chiral potentials. Acta Phys. Polon. B 37, 2905 (2006)
R. Skibiński et al., The chiral long-range two-pion exchange electromagnetic currents in radiative nucleon–deuteron capture. Acta Phys. Polon. B 46, 159 (2015)
D. Rozpȩdzik et al., Signatures of the chiral two-pion exchange electromagnetic currents in the \(^2\)H and \(^3\)He photodisintegration reactions. Phys. Rev. C 83, 064004 (2011)
H. Witała et al., Nd elastic scattering as a tool to probe properties of 3N forces. Phys. Rev. C 63, 024007 (2001)
W. Glöckle et al., The three-nucleon continuum: achievements, challenges and applications. Phys. Rep. 274, 107 (1996)
S. Binder et al., Few-nucleon systems with state-of-the-art chiral nucleon–nucleon forces. Phys. Rev. C 93, 044002 (2016)
R. Skibiński et al., Testing semi-local chiral two-nucleon interaction in selected electroweak processes. Phys. Rev. C 93, 064002 (2016)
J. Golak et al., Faddeev calculations of proton–deuteron radiative capture with exchange currents. Phys. Rev. C 62, 054005 (2000)
J. Golak et al., Electron and photon scattering on three-nucleon bound states. Phys. Rep. 415, 89 (2005)
S. Kölling et al., Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation. Phys. Rev. C 80, 045502 (2009)
S. Kölling et al., Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions. Phys. Rev. C 84, 054008 (2011)
G. Mitev et al., Radiative neutron capture by deuterium. Phys. Rev. C 34, 389 (1986)
W.K. Pitts et al., \(^1\)H(\({{\bf d}},\gamma \))\(^3\)He reaction at E\(_{{\rm d}}=95\) MeV. Phys. Rev. C 37, 1 (1988)
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This article belongs to the special issue “The 23rd European Conference on Few-Body Problems in Physics”.
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Skibiński, R., Golak, J., Topolnicki, K. et al. Modern Chiral Forces Applied to the Nucleon–Deuteron Radiative Capture . Few-Body Syst 58, 28 (2017). https://doi.org/10.1007/s00601-016-1190-1
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DOI: https://doi.org/10.1007/s00601-016-1190-1