Systematics of the Quadrupole–Quadrupole Interaction and Convergence Properties

✍ Scribed by M.S. Fayache; E. Moya de Guerra; P. Sarriguren; L. Zamick

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 801 KB
• Volume: 277
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1999.5963

✦ Synopsis

Our main concern in this work is to show how higher shell admixtures affect the spectrum of a Q. Q interaction. We first review how, in the valence space, the familiar SU(3) result for the energy spectrum can be obtained using a coordinate space Q. Q interaction rather than the Elliott one which is symmetric in r and p. We then reemphasize that the Elliott spectrum goes as L(L + 1) where L is the orbital angular momentum. While in many cases this is compatible with the rotational formula which involves I(I+ 1 ), where I is the total angular momentum, there are cases, e.g., odd-odd nuclei, where there is disagreement. Finally, we consider higher shell admixtures and devise a scheme so as to obtain results, with the Q. Q interaction, which converge as the model spaces are increased. We consider not only ground state rotational bands but also those that involve intruder states.