Shell model symmetries

Levering Wolfe, Larry Zamick

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We discuss L=0 vs L=2 couplings, symmetries of the pairing interaction for neutrons and protons, and the Jmax interaction. We show that certain schematic interactions yield exponentially decreasing transition strengths. It is a pleasure to be able to contribute to proceedings honoring this milestone of Franco Iachello's career. We will start with what may be regarded as early elementary precursors to his seminal papers with Akito Arima and others [1,2] on the interaction boson approximation -IBA and IBM. Then, as a change of pace we will discuss most recent work where we focus on matrix models of strength distributions for which there are many problems that are not yet understood.

Original languageEnglish (US)
Title of host publicationSymmetries and Order
Subtitle of host publicationAlgebraic Methods in Many Body Systems - A Symposium in Celebration of the Career of Professor Francesco Iachello
EditorsReina Maruyama
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735418950
StatePublished - Sep 3 2019
EventSymmetries and Order: Algebraic Methods in Many-Body Systems - New Haven, United States
Duration: Oct 5 2018Oct 6 2018

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


ConferenceSymmetries and Order: Algebraic Methods in Many-Body Systems
Country/TerritoryUnited States
CityNew Haven

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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