2022/02/21 by G. De Gregorio, F. Knapp, N. Lo Iudice +1
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Algorithm #Basis (linear algebra) #Computer science #Eigenvalues and eigenvectors #Geometry #Mathematics #Nuclear physics research studies #Phonon #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Singular value decomposition #Tensor (intrinsic definition) #nucl-th
paper · pdf · doi:10.1103/physrevc.105.024326
Accepted for publication on Phys. Rev. C
arxiv created 2022/02/21 · openalex publication_date 2022/02/22 · arxiv updated 2022/03/14 · openalex created_date 2022/04/03 · openalex updated_date 2026/08/05
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.