Skip to main content Accessibility help
×
Hostname: page-component-84b7d79bbc-l82ql Total loading time: 0 Render date: 2024-07-29T22:26:43.225Z Has data issue: false hasContentIssue false

4 - Operators

Published online by Cambridge University Press:  05 November 2011

F. Iachello
Affiliation:
Yale University, Connecticut
A. Arima
Affiliation:
University of Tokyo
Get access

Summary

Introduction

The interacting boson model-2 originated from the necessity to give to the collective nuclear states, as described by the interacting boson model-1, a microscopic foundation rooted in the spherical shell model (Mayer, 1949; Haxel, Jensen and Suess, 1949). It was originally introduced by Otsuka, Talmi and ourselves (Arima et al., 1977; Otsuka et al., 1978) following earlier ideas of Talmi, who had previously introduced the concept of generalized fermion seniority on which the interacting boson modei-2 is based (Talmi, 1971; Shlomo and Talmi, 1972; Talmi, 1973).

In the interacting boson model-2, the bosons have a direct physical interpretation as correlated pairs of particles with JP = 0+ and JP = 2+. This physical interpretation yields, on the one hand, the possibility of constructing a microscopic theory of collective states based on the spherical shell model (to be discussed in a subsequent book) and, on the other hand, a richer algebraic structure which can be exploited to study nuclear properties. In Part II of this book we describe this richer algebraic structure, which has produced a large number of interesting results, the most notable being the discovery of low-lying collective modes in which protons and neutrons move out of phase (Bohle et al., 1984).

Since, contrary to the case of the interacting boson model-1, all operators here have a direct microscopic counterpart, we shall occasionally point out this connection and use it as input in the choice of parameters.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 1987

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Operators
  • F. Iachello, Yale University, Connecticut, A. Arima, University of Tokyo
  • Book: The Interacting Boson Model
  • Online publication: 05 November 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511895517.005
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Operators
  • F. Iachello, Yale University, Connecticut, A. Arima, University of Tokyo
  • Book: The Interacting Boson Model
  • Online publication: 05 November 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511895517.005
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Operators
  • F. Iachello, Yale University, Connecticut, A. Arima, University of Tokyo
  • Book: The Interacting Boson Model
  • Online publication: 05 November 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511895517.005
Available formats
×