Modern NN Force Predictions for the Total ND Cross Section up to 300 MeV

Abstract

For several modern nucleon-nucleon potentials state-of-the-art Faddeev calculations are carried out for the $nd$ total cross section between 10 and 300 MeV projectile energy and compared to new high precision measurements. The agreement between theory and data is rather good, with exception at the higher energies where a 10% discrepancy builds up. In addition the convergence of the multiple scattering series incorporated in the Faddeev scheme is studied numerically with the result, that rescattering corrections remain important. Based on this multiple scattering series the high energy limit of the total $nd$ cross section is also investigated analytically. In contrast to the naive expectation that the total $nd$ cross section is the sum of the $np$ and $nn$ total cross sections we find additional effects resulting from the rescattering processes, which have different signs and different behavior as function of the energy. A shadowing effect in the high energy limit only occurs for energies higher than 300 MeV. The expressions in the high energy limit have qualitatively a similar behavior as the exactly calculated expressions, but can be expected to be valid quantitatively only at much higher energies.

arXiv comment22 pages, 5 figures

References in corpus (6)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Construction of high-quality Nucleon-Nucleon potential models
• The cross section minima in elastic Nd scattering: a ``smoking gun'' for three nucleon force effects
• Benchmark Calculations for the Triton Binding Energy for Modern NN Forces and the pi-pi Exchange Three-Nucleon Force
• A New Look into the Partial Wave Decomposition of Three-Nucleon Forces
• Shadowing and Antishadowing Effects in a Model for the n+d Total Cross Section

Cited by in corpus (22)

• Signatures of three-nucleon interactions in few-nucleon systems
• Relativistic effects in neutron-deuteron elastic scattering
• Polarization Transfer Measurement for ${}^{1}H(\vec{d},\vec{p}{)}^{2}H$ Elastic Scattering at 135 MeV/u and Three Nucleon Force Effects
• Three-nucleon force in relativistic three-nucleon Faddeev calculations
• Nucleon-Nucleon Scattering in a Three Dimensional Approach
• Low-energy neutron-deuteron reactions with N3LO chiral forces
• Relativity and the low energy nd Ay puzzle
• Selectivity of the Nucleon Induced Deuteron Breakup and Relativistic Effects
• Three-Nucleon Force Effects in Nucleon Induced Deuteron Breakup: Predictions of Current Models (I)
• Relativistic effects in exclusive neutron-deuteron breakup
• Lorentz Boosted NN Potential for Few-Body Systems: Application to the three-nucleon bound state
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Testing nuclear forces by polarization transfer coefficients in d(\vec p, \vec p)d and d(\vec p,\vec d)p reactions at E^{lab}_p = 22.7 MeV
• Evidence for Three Nucleon Force Effects in p-d Elastic Scattering
• Importance of the deuteron breakup in the deuteron knockout reaction
• Elastic Nd scattering at intermediate energies as a tool for probing the short-range deuteron structure
• Few Body Reserch - Summary
• Lorentz Boosted Nucleon-Nucleon T-matrix and the Triton Binding Energy
• A complete set of total cross sections for imaginary parts of nd forward scattering amplitudes and three-nucleon force effects
• On contribution of three-body forces to $Nd$ interaction at intermediate energies
• Three-nucleon force effects in inclusive spectra of the neutron-deuteron breakup reaction
• Significance of chiral three-nucleon force contact terms for understanding of elastic nucleon-deuteron scattering