2000/10/01 by A. A. Râduţâ, A. A. Raduta, C. M. Raduta +1 · 5 citations
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Boson #Classical mechanics #Excited state #Ground state #Hamiltonian (control theory) #Harmonic oscillator #Interacting boson model #Mathematics #Neutron #Nuclear physics research studies #Phase space #Physics #Proton #Quadrupole #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Random phase approximation #Schematic #nucl-th
paper · pdf · doi:10.1016/s0375-9474(00)00324-9
published in Nuclear Physics A 678(4), 382-401 (Elsevier BV) · 28 pages and 3 figures
openalex publication_date 2000/10/01 · arxiv created 2005/03/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using a schematic solvable many-body Hamiltonian, one studies a new type of proton-neutron excitations within a time dependent variational approach. Classical equations of motion are linearized and subsequently solved analytically. The harmonic state energy is compared with the energy of the first excited state provided by diagonalization as well as with the energies obtained by a renormalized RPA and a boson expansion procedure. The new collective mode describes a wobbling motion, in the space of isospin, and collapses for a particle-particle interaction strength which is much larger than the physical value. A suggestion for the description of the system in the second nuclear phase is made. We identified the transition operators which might excite the new mode from the ground state.