The Tucson-Melbourne Three-Nucleon Force in the automatized Partial Wave Decomposition

Abstract

A recently developed procedure for a partial wave decomposition of a three-nucleon force is applied to the pi-pi, pi-rho and rho-rho components of the Tucson-Melbourne three-nucleon potential. The resulting matrix elements for the pi-pi and pi-rho components are compared with the values obtained using the standard approach to the partial wave decomposition, in which the pi-rho expressions for the matrix elements are also derived and presented. Several numerical tests and results for the triton binding energy and the correlation function prove the reliability and efficiency of the new method.

29 pages, 11 eps figures

References in corpus (3)

• Subleading contributions to the chiral three-nucleon force I: long-range terms
• A new way to perform partial wave decompositions of few-nucleon forces
• Improved method for partial-wave decomposition of two-pion exchange three-nucleon force

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• Scattering of decuplet baryons in chiral effective field theory
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Neutron matter based on consistently evolved chiral three-nucleon interactions
• Break-up channels in muon capture on 3He
• A Three-Dimensional Treatment of the Three-Nucleon Bound State
• Pion absorption from the lowest atomic orbital in 2H, 3H and 3He