The three dimensional calculations of NN bound and scattering states with chiral potential up to N3LO

Abstract

The recently developed chiral nucleon-nucleon ($NN$) potential by Epelbaum \emph{et al.} has been employed to study the two-nucleon bound and scattering states. Chiral $NN$ potential up to next-to-next-to-next-to leading order (N${}^3$LO) is used to calculated the np differential cross section and deuteron binding energy in a realistic three dimensional approach. The obtained results based on this helicity representation are compared to the standard partial wave (PW) results. This comparison shows that the 3D approach provides the same accuracy in the description of $NN$ observables and the results are in close agreement with available experimental data.

arXiv comment9 pages, 1 figure, 1 table. Major changes; version to appear in Physical Review C

References in corpus (17)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• The two-nucleon system at next-to-next-to-next-to-leading order
• The Two-Nucleon Potential from Chiral Lagrangians
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Chiral $3\pi$-exchange NN-potentials: results for representation invariant classes of diagrams
• Chiral $2\pi$-exchange NN-potentials: Two-loop contributions
• Chiral $\pi$-exchange NN-potentials: Results for diagrams proportional to g_A^4 and g_A^6
• Chiral 2$\pi$-exchange NN-potentials: Relativistic $1/M^2$-Corrections
• Nucleon-Nucleon Scattering in a Three Dimensional Approach
• Three-Nucleon Bound State in a Spin-Isospin Dependent Three Dimensional Approach
• New Forms of Deuteron Equations and Wave Function Representations
• The Nd Break-Up Process in Leading Order in a Three-Dimensional Approach
• A Realistic Formalism for 4N Bound State in a Three-Dimensional Yakubovsky Scheme
• The Operator form of 3H (3He) and its Spin Structure
• Bound State Calculations of the Three-Dimensional Yakubovsky Equations with the inclusion of Three-Body Forces
• Low-momentum effective interaction in the three-dimensional approach

Cited by in corpus (9)

• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Different Methods for the Two-Nucleon T-Matrix in the Operator Form
• A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme
• Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions
• A Spin-Isospin Dependent 3N Scattering Formalism in a 3D Faddeev Scheme
• Renormalization of chiral nuclear forces with multiple subtractions in peripheral channels
• Three-Body Bound State Calculations by Using Three-Dimensional Low Momentum Interaction $V_{low-k}$
• Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
• Triton photodisintegration in three-dimensional approach