Implementation of chiral two-nucleon forces to nuclear many-body methods with Gaussian-wave packets

Abstract

Many-body methods that use Gaussian-wave packets to describe nucleon-spatial distribution have been widely employed for depicting various phenomena in nuclear systems, in particular clustering. So far, however, the chiral effective field theory, a state-of-the-art theory of nuclear force, has not been applied to such methods. In this paper, we give the formalism to calculate the two-body matrix elements of the chiral two-nucleon forces using the Gaussian-wave packets. We also visualize the matrix elements and investigate the contributions of the central and tensor forces. This work is a foothold towards an \textit{ab initio} description of various cluster phenomena in view of nucleons, pions, and many-nucleon forces.

arXiv comment39 pages, 5 figures, 1 table

References in corpus (23)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Local three-nucleon interaction from chiral effective field theory
• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• A unitary correlation operator method
• Accurate Nucleon-Nucleon Potential Based upon Chiral Perturbation Theory
• Tensor correlations in the Unitary Correlation Operator Method
• Chiral 2pi exchange at order four and peripheral NN scattering
• Cluster structures within Fermionic Molecular Dynamics
• Nuclear Structure in the Framework of the Unitary Correlation Operator Method
• Microscopic calculation of the 3He(alpha,gamma)7Be and 3H(alpha,gamma)7Li capture cross sections using realistic interactions
• The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions
• Reduced regulator dependence of neutron-matter predictions with chiral interactions
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Realistic shell-model calculations for p-shell nuclei including contributions of a chiral three-body force
• Analyzing the Fierz Rearrangement Freedom for Local Chiral Two-Nucleon Potentials
• Improved version of simplified method for including tensor effect in cluster models
• Short-range correlation in high-momentum antisymmetrized molecular dynamics
• Towards modeling cluster structure of ${}^8$Be with chiral interaction