Nuclear structure study with two- and three-nucleon contact interactions derived within low-energy EFT

Abstract

We present the results of the application of a nuclear potential consisting of two- and three-nucleon contact interactions in nuclear structure investigations. The nuclear Hamiltonian has been derived for a very low-energy regime within the framework of the effective field theory, its low-energy constants have been fitted to a few low-energy nucleon-nucleon experimental observables and the deuteron and 3H binding energies. Our goal is to validate the ability of this Hamiltonian to reproduce some important features of open-shell nuclei, and to this end we derive effective shell-model Hamiltonians for nuclei in the p- and sd-shell mass regions. The results of shell-model calculations with these effective Hamiltonians are then compared with experiment, and also with those obtained with a nuclear Hamiltonian derived within chiral perturbation theory, that includes also terms with one- and two-pion exchanges.

8 pages, 6 figures, to be published in the Proceedings of the 14th International Spring Seminar on Nuclear Physics "Cutting-Edge Developments in Nuclear Structure Physics"

References in corpus (9)

• Chiral effective field theory and nuclear forces
• Effective Field Theory for Few-Nucleon Systems
• Thick-Restart Block Lanczos Method for Large-Scale Shell-Model Calculations
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Effective shell-model hamiltonians from realistic nucleon-nucleon potentials within a perturbative approach
• Essential elements for nuclear binding
• Realistic shell-model calculations for p-shell nuclei including contributions of a chiral three-body force
• Perturbative Approach to Effective Shell-Model Hamiltonians and Operators
• Two- and three-nucleon contact interactions and ground-state energies of light- and medium-mass nuclei