Sum Rules of the Multiple Giant Dipole States

Details Sum Rules of the Multiple Giant Dipole States Sum Rules of the Multiple Giant Dipole States

2005-04-12

arxiv.org/abs/nucl-th/0504038v1

Prog.Theor.Phys. 114 (2005) 805-812

Physics

Nuclear Physics

Nuclear Theory

8 pages, 1 figure, using PTPTeX style

Scientific paper

10.1143/PTP.114.805

Various sum rules for multiple giant dipole resonance states are derived. For the triple giant dipole resonance states, the energy-weighted sum of the transition strengths requires a model to be related to those of the single and double giant dipole resonance states. It is also shown that the non-diagonal matrix elements of the double commutator between the dipole operator and the nuclear Hamiltonian give useful identities for the excitation energy and transition strength of each excited state. Using those identities, the relationship between width of the single dipole state and those of the multiple ones is qualitatively discussed.

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