Collective motions of a shell structure

✍ Scribed by J.M. Araujo

• Publisher: Elsevier Science
• Year: 1956
• Weight: 810 KB
• Volume: 1
• Category: Article
• ISSN: 0029-5582
• DOI: 10.1016/s0029-5582(56)80033-3

✦ Synopsis

Collective motions in atomic nuclei are studied using a generaHsed independent particle model (time dependent well potential). After calculating nucleon wave functions in a time dependent infinitely deep well, the expectation values of the energy and angular momentum are evaluated. These are shown to be formally identical with the liquid drop quantities. By imposing on the expectation value of the energy the condition of time independence, an eigenfrequency equation is obtained. The calculated frequencies and static deformabilities show considerable fluctuations. Some experimental evidence for these fluctuations is discussed.