Relativistic effects in exclusive neutron-deuteron breakup

Skibiński, R.; Witała, H.; Golak, J.

doi:10.1140/epja/i2006-10115-8

Cited by 49 publications

(51 citation statements)

References 32 publications

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“…They lead to a characteristic pattern of relativistic versus non-relativistic cross section and at E lab N = 200 MeV those changes can be up to ≈ ±60 % [21]. For breakup spin observables effects of relativity found in calculations with NN forces only are seen with practically the same magnitude when 3NF is added [20].…”

Section: Relativistic Effects In 3n Continuummentioning

confidence: 84%

Calculations of Three-Nucleon Reactions

et al. 2013

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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 neutrondeuteron 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.

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Section: Relativistic Effects In 3n Continuummentioning

confidence: 84%

Calculations of Three-Nucleon Reactions

et al. 2013

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“…An exactly Poincaré invariant formulation of three-nucleon scattering using realistic interactions leads to significant changes of the breakup cross section at higher energies and in certain regions of phase space [6,7]. For the elastic scattering cross sections the small changes are restricted to backward angles [5].…”

Section: Discussionmentioning

confidence: 99%

“…A relativistic treatment of the dynamics implies a different off-shell treatment of the NN interactions [4], leading to the possibility of additional effects beyond standard 3N forces. We refer to [5][6][7][8] for a detailed presentation and focus here on effects of relativity on the Nd elastic scattering angular distribution and total cross sections, the A y puzzle and pronounced relativistic effects in Nd breakup. …”

Section: Introductionmentioning

confidence: 99%

Relativistic Effects in Neutron–Deuteron Elastic Scattering and Breakup

et al. 2010

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We solved the Faddeev equation in a Poincaré invariant model of the three-nucleon system. Two-body interactions are generated so that when they are added to the two-nucleon invariant mass operator (rest energy) the two-nucleon S matrix is identical to the experimental S matrix modeled with a given nucleon-nucleon interaction. Cluster properties of the three-nucleon S-matrix determine how these two-nucleon interactions are embedded in the three-nucleon mass operator. Differences in the predictions of the relativistic and corresponding non-relativistic models for elastic and breakup processes are investigated. Of special interest are effects of relativity on the elastic scattering angular distribution and total cross sections, the lowering of the A y maximum in elastic nucleon-deuteron (Nd) scattering below ≈25 MeV caused by the Wigner spin rotations and the significant changes of the breakup cross sections in certain regions of the phase-space.

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“…In the wide range of energy the properties of few-nucleon systems are very well described with the use of realistic nucleon-nucleon (NN) potentials, coupled-channel (CC) calculations with realistic potential including the excitation of a single nucleon to a Δ isobar [1] or Chiral Perturbation Theory (ChPT) [2]. With increasing energy of interaction, the dynamical effects of few-nucleons, like Three Nucleon Force (3NF) [3,4] and the relativistic component [5], start playing an important role and must be included in theoretical calculations. In case of the dp breakup reaction, the Coulomb force has also a very significant influence on the cross section and also should be included in theory.…”

Section: Introductionmentioning

confidence: 99%

Invariant Coordinates in Breakup Reactions

et al. 2017

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Systematic experimental studies of few-nucleon systems expose various dynamical ingredients which play an important role in correct description of observables, such as three-nucleon force, Coulomb force and relativistic effects. A large set of existing experimental data for 1 H (d, pp)n reaction allows for systematic investigations of these dynamical effects, which vary with energy and appear with different strength in certain observables and phase space regions. Moreover, systematic comparisons with exact theoretical calculations, done in variables related to the system dynamics in a possibly direct ways is a very important tool to verify and improve the existing description of the nucleon interaction. Examples of experimental data for a breakup reaction, transformed to the variables based on Lorentz-invariants are compared with modern theoretical calculations.

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Relativistic effects in exclusive neutron-deuteron breakup

Cited by 49 publications

References 32 publications

Calculations of Three-Nucleon Reactions

Calculations of Three-Nucleon Reactions

Relativistic Effects in Neutron–Deuteron Elastic Scattering and Breakup

Invariant Coordinates in Breakup Reactions

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