Particle-vibration coupling and many-particle correlation in nuclei

J.O. Corbett

G. E. Brown, D. J. Thouless

M. Hasegawa, Nobuo Kanesaki

The couplings between pairing vibration and quadrupole vibration are investigated by the method presented in our preceding paper which deals with the pairing and quadrupole correlations on the number conserving basis. The results are compared with the conventional quasi-particle treatment. It is clarified that our method and the quasi-particle treatment give different couplings. The difference is evaluated in numerical examples of a two-level model.

DAVID J. ROWE

Various methods are investigated for calculating correlated ground states and their one-particle densities, with a view to including correlation effects in higher random-phase-approximation (RPA) calculations. The problem of the divergent correlations associated with the center-of-mass and other spurious RPA solutions is discussed and it is shown that they can simply be ignored.

Pervez Amirali Hoodbhoy

Nobuo Nagai, Takashi Yahagi

The basic particles of quanta are quarks and leptons. Quarks are combined with each other and form neutrons and protons. Neutrons and protons are combined with each other and form quanta called atomic nuclei, which are considered to vibrate. This vibration is considered to be expressed by a wave equation. In this session, we show that the one-dimensional crystal described in Session 5 satisfies a quantized wave equation. Moreover, the one-dimensional crystal is equivalent to an LC ladder circuit, which consists of a coil and a capacitor, as also described in Session 5. Therefore, the applicability of circuit theory to atomic nuclei is shown by assuming that atomic nuclei satisfy the quantized wave equation as LC ladder circuits.