New features of some proton-neutron collective states

Details New features of some proton-neutron collective states New features of some proton-neutron collective states

2005-03-14

arxiv.org/abs/nucl-th/0503041v1

Nucl.Phys. A678 (2000) 382

Physics

Nuclear Physics

Nuclear Theory

28 pages and 3 figures

Scientific paper

10.1016/S0375-9474(00)00324-9

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.

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