Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2000-05-25
In ``Contemporary Nuclear Physics'', edited by C.R. Praharaj (Narosa Publishing House, New Delhi, India, 2003), p. 277-289.
Physics
Nuclear Physics
Nuclear Theory
13 pages, ps-file, 5 figures; talk delivered by V.K.B. Kota at National seminar on Nuclear Physics, July 26-29, 1999, Institut
Scientific paper
For the embedded Gaussian orthogonal ensemble (EGOE) of random matrices, the strength sums generated by a transition operator acting on an eigenstate vary with the excitation energy as the ratio of two Gaussians. This general result is compared to exact shell model calculations, with realistic interactions, of spherical orbit occupancies and Gamow-Teller strength sums in some $(ds)$ and $(fp)$ shell examples. In order to confirm that EGOE operates in the chaotic domain of the shell model spectrum, calculations are carried out using two different interpolating hamiltonians generating order-chaos transitions. Good agreement is obtained in the chaotic domain of the spectrum, and strong deviations are observed as nuclear motion approaches a regular regime (transition strength sums appear to follow the Dyson's $\Delta_3$ statistic). More importantly, they shed new light on the newly emerging understanding that in the chaotic domain of isolated finite interacting many particle systems smoothed densities (they include strength functions) define the statistical description of these systems and these densities follow from embedded random matrix ensembles; some EGOE calculations to this end are presented.
Gomez J. M. G.
Kar Kamales
Kota V. K. B.
Retamosa J.
Sahu R.
No associations
LandOfFree
Transition Strength Sums and Quantum Chaos in Shell Model States does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Transition Strength Sums and Quantum Chaos in Shell Model States, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transition Strength Sums and Quantum Chaos in Shell Model States will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-200936