Journal article

Publication year: 1986

Pages: 1-20

Journal: Nuclear Physics A: Nuclear and Hadronic Physics

Volume number: 456

Issue number: 1

ISSN: 0375-9474

DOI Link: https://doi.org/10.1016/0375-9474(86)90363-5

Publisher: Elsevier

Abstract: 
In the framework of the adiabatic cranking model we analyse the generator of the low-lying quadrupole vibration.
In a first step, we show the connection between the cranking approach and the equations-of-motion method used in RPA. Then we calculate the matrix elements of the generator numerically, and use them to find an approximate analytic expression for the operator itself.
We find that the low-lying vibration, as well as a high-lying state, which we analysed in the same manner for comparison, has a very regular behaviour with varying particle number. An easy approximate expression for the generator can be given finally, which for doubly magic nuclei even becomes exact.

Harvard Citation style: Reitz, T., Kunz, J., Mosel, U. and Wüst, E. (1986) The generator of the low-lying quadrupole vibration, Nuclear Physics A: Nuclear and Hadronic Physics, 456(1), pp. 1-20. https://doi.org/10.1016/0375-9474(86)90363-5

APA Citation style: Reitz, T., Kunz, J., Mosel, U., & Wüst, E. (1986). The generator of the low-lying quadrupole vibration. Nuclear Physics A: Nuclear and Hadronic Physics. 456(1), 1-20. https://doi.org/10.1016/0375-9474(86)90363-5