Configuration space Faddeev continuum calculations: N-d s-wave scattering lengths with tensor-force interactions

Friar, J L; Gibson, B F; Payne, G L; Chen, C R

doi:10.1103/PhysRevC.30.1121

Title: Configuration space Faddeev continuum calculations: N-d s-wave scattering lengths with tensor-force interactions

Full Record
Other Related Research

Abstract

Formulation of the s-wave, zero-energy Faddeev-type scattering equations for a model which includes a spin-triplet tensor-force nucleon-nucleon interaction and a Coulomb force between two protons is discussed. Numerical solution of the equations for the Reid-soft-core, Argonne V/sub 14/, and super-soft-core C potential models is obtained using spline techniques. Kohn variational estimates are also presented, and comparison is made with other previously published results. The inclusion of a tensor force does not alter our previous conclusions about the Coulomb force effects on the p-d scattering length, which were based upon s-wave nucleon-nucleon potential model studies.

Authors:: Friar, J L; Gibson, B F; Payne, G L; Chen, C R

Publication Date:: Mon Oct 01 00:00:00 EDT 1984

Research Org.:: Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

OSTI Identifier:: 6297020

Resource Type:: Journal Article

Journal Name:: Phys. Rev. C; (United States)

Additional Journal Information:: Journal Volume: 30:4

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DEUTERIUM TARGET; NUCLEON REACTIONS; SCATTERING LENGTHS; COULOMB FIELD; FADDEEV EQUATIONS; NUCLEON-NUCLEON POTENTIAL; NUMERICAL SOLUTION; REID POTENTIAL; S WAVES; SOFT-CORE POTENTIAL; TENSOR FORCES; BARYON REACTIONS; DIMENSIONS; ELECTRIC FIELDS; EQUATIONS; HADRON REACTIONS; LENGTH; NUCLEAR POTENTIAL; NUCLEAR REACTIONS; PARTIAL WAVES; POTENTIALS; TARGETS; 651215* - Nuclear Properties & Reactions, A=1-5, Theoretical- Nuclear Reactions & Scattering- (-1987)

Citation Formats


                    Friar, J L, Gibson, B F, Payne, G L, and Chen, C R. Configuration space Faddeev continuum calculations: N-d s-wave scattering lengths with tensor-force interactions.  United States: N. p., 1984. 
        Web.  doi:10.1103/PhysRevC.30.1121.

Copy to clipboard


                    Friar, J L, Gibson, B F, Payne, G L, & Chen, C R. Configuration space Faddeev continuum calculations: N-d s-wave scattering lengths with tensor-force interactions.  United States.  https://doi.org/10.1103/PhysRevC.30.1121

Copy to clipboard


                    Friar, J L, Gibson, B F, Payne, G L, and Chen, C R. 1984.  
        "Configuration space Faddeev continuum calculations: N-d s-wave scattering lengths with tensor-force interactions".  United States.  https://doi.org/10.1103/PhysRevC.30.1121.

Copy to clipboard


                    
@article{osti_6297020,

  title        = {Configuration space Faddeev continuum calculations: N-d s-wave scattering lengths with tensor-force interactions},

  author       = {Friar, J L and Gibson, B F and Payne, G L and Chen, C R},

  abstractNote = {Formulation of the s-wave, zero-energy Faddeev-type scattering equations for a model which includes a spin-triplet tensor-force nucleon-nucleon interaction and a Coulomb force between two protons is discussed. Numerical solution of the equations for the Reid-soft-core, Argonne V/sub 14/, and super-soft-core C potential models is obtained using spline techniques. Kohn variational estimates are also presented, and comparison is made with other previously published results. The inclusion of a tensor force does not alter our previous conclusions about the Coulomb force effects on the p-d scattering length, which were based upon s-wave nucleon-nucleon potential model studies.},

  doi          = {10.1103/PhysRevC.30.1121},

  url          = {https://www.osti.gov/biblio/6297020},
  journal      = {Phys. Rev. C; (United States)},
number       = ,

  volume       = 30:4,

  place        = {United States},

  year         = {Mon Oct 01 00:00:00 EDT 1984},

  month        = {Mon Oct 01 00:00:00 EDT 1984}

}

Copy to clipboard

Journal Article:

https://doi.org/10.1103/PhysRevC.30.1121

Other availability

Find in Google Scholar

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

Configuration space Faddeev continuum calculations: p-d s-wave scattering length

Journal Article Friar, J; Gibson, B; Payne, G - Phys. Rev. C; (United States)

Formulation of s-wave zero-energy Faddeev-type scattering equations including a Coulomb interaction is discussed. Numerical solutions of these equations for the s-wave NN potential models of Malfliet and Tjon are obtained using spline techniques. Kohn variational estimates are presented and comparison is made to previously published results. Our quartet pd scattering lengths are larger than others previously obtained, and our pd doublet results are smaller than the corresponding nd results, and thus in contrast to the experimental values. An explication of this feature is presented in terms of a model two-body problem. Perturbation theory for the Coulomb corrections to the scatteringmore »« less
https://doi.org/10.1103/PhysRevC.28.983
Configuration space Faddeev calculations. I. Triton ground-state properties

Journal Article Payne, G; Friar, J; Gibson, B; ... - Phys. Rev., C; (United States)

The formulation of Faddeev-type equations in configuration space is discussed. Numerical solutions are obtained using splines and the method of orthogonal collocation. Triton observables and wave-function probabilities are calculated for s-wave NN interaction models of Malfliet and Tjon and the tensor force model of Reid. Comparison with previously published triton results is made; our full five-channel results for the Reid soft-core potential are in excellent agreement with those obtained by Afnan and Birrell using separable expansion methods.
https://doi.org/10.1103/PhysRevC.22.823
Effects of three-nucleon forces on the trinucleon system

Thesis/Dissertation Chen, C

The configuration-space Faddeev equations for the triton have been solved with two-nucleon and three-nucleon potentials for up to thirty-four channels (j less than or equal to 4). The results have been checked by variational calculations using the Faddeev wave functions generated. The two-nucleon potentials used were the Reid Soft Core and the Argonne V14, and the two-pion-exchange three-nucleon potentials used were those developed by the Tucson-Melbourne group (TM) and the Brazil group (BR). It was found that a full thirty-four channel calculation is necessary to obtain quantitatively reliable results. The author has also studied the effects of the three-nucleon potentialmore »« less
Convergence of Faddeev partial-wave series for triton ground state

Journal Article Chen, C; Payne, G; Friar, J; ... - Phys. Rev. C; (United States)

An iterative technique was used to solve the Faddeev equations, which determine the bound state of the triton, for the Reid soft core, Argonne v/sub 14/, super soft core (C), and de Tourreil-Rouben-Sprung (B) potential models. Separate solutions for each model were generated for 5, 9, 18, 26, and 34 three-body channels, the latter corresponding to all two-nucleon partial waves with J< or =4. The results indicate that the odd partial waves do not contribute substantially to the energy, and that the J>4 partial waves probably contribute less than 10 keV. Coulomb energies, radii, and probability percentages of various wavemore »« less
https://doi.org/10.1103/PhysRevC.31.2266
Configuration space Faddeev continuum calculations. I. n-d scattering length

Journal Article Payne, G; Friar, J; Gibson, B - Phys. Rev. C; (United States)

Formulation of the zero-energy Faddeev-type scattering equations in configuration space is discussed. Numerical solutions are obtained using spline techniques. Scattering lengths are calculated for the s-wave NN interaction models of Malfliet and Tjon; comparison with previously published results and Kohn variational estimates are made. Faddeev amplitudes and Schroedinger wave functions are plotted. Significant features of the configuration space solutions are identified.
https://doi.org/10.1103/PhysRevC.26.1385

Similar Records