Spectroscopic properties of 4He within a multiphonon approach

Abstract

Bulk and spectroscopic properties of 4He are studied within an equation of motion phonon method. Such a method generates a basis of n-phonon (n = 0, 1, 2, 3...) states composed of tensor products of particle-hole Tamm-Dancoff phonons and then solves the full eigenvalue problem in such a basis. The method does not rely on any approximation and is free of any contamination induced by the center of mass, in virtue of a procedure exploiting the singular value decomposition of rectangular matrices. Two potentials, both derived from the chiral effective field theory, are adopted in a self-consistent calculation performed within a space including up to three phonons. The latter basis states are treated under a simplifying assumption. A comparative analysis with the experimental data points out the different performances of the two potentials. It shows also that the calculation succeeds only partially in the description of the spectroscopic properties and suggests a recipe for further improvements.

Accepted for publication on Phys. Rev. C

References in corpus (16)

• Chiral effective field theory and nuclear forces
• Accurate nuclear radii and binding energies from a chiral interaction
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Recent developments in no-core shell-model calculations
• Local three-nucleon interaction from chiral effective field theory
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Solution of the center-of-mass problem in nuclear structure calculations
• Giant and pigmy dipole resonances in 4He, 16,22O, and 40Ca from chiral nucleon-nucleon interactions
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• The ${}^4$He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory
• A self-consistent study of multipole response in neutron-rich nuclei using a modified realistic potential
• A measurement of the 4He(g,n) reaction from 23 < Eg < 70 MeV