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Interacting Boson Models of Nuclear Structure

Interacting Boson Models of Nuclear Structure

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"Interacting Boson Models of Nuclear Structure" by Dennis Bonatsos is a mathematics book and learning resource focused on Cosmology. Best for teachers, students, and readers looking for stronger mathematical understanding.

The fundamental model of nuclear structure is the shell model. However, its application has been limited to light nuclei (up to the sd shell) or heavier nuclei with only a few valence nucleons outside closed shells. Its application beyond these limits has been prohibited so far by the large scale of the calculations involved. For the description of nuclei beyond the sd shell having several valence nucleons the introduction of collective models becomes necessary. The first comprehensive phenomenological model of nuclear structure was the geometric collective model of A. Bohr and B.R. Mottelson. An alternative approach was proposed in 1974 by A. Arima and F. Iachello, known as the Interacting Boson Model. This model, which uses group theoretical techniques in the description of nuclear collective properties, has the advantage of relative simplicity, allowing for detailed calculations of the properties of even medium and heavy nuclei which cannot be reached by the shell model yet. Several extensions and generalizations of the model have appeared over the last decade. Algebraic descriptions for the effects of clustering, permanent octupole deformation, and giant resonances have also been given. For the description of odd nuclei the Interacting Boson-Fermion Model has been introduced, and nuclear supersymmetries associated with it have been analysed. The present text is designed to provide physicists with an accessible introduction to the subject.

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Best For: Researchers and students in nuclear physics focusing on nuclear structure beyond light nuclei
Focus: The use of interacting boson models as an alternative to the shell model for describing nuclei with multiple valence nucleons
Covers: Limitations of the shell model and the development of collective models for heavier nuclei
Why It Matters: Provides a framework to study nuclear structure where traditional shell model calculations are computationally prohibitive

"Interacting Boson Models of Nuclear Structure" by Dennis Bonatsos is a mathematics book and learning resource focused on Cosmology. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Cosmology

Author: Dennis Bonatsos

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

The fundamental model of nuclear structure is the shell model. However, its application has been limited to light nuclei (up to the sd shell) or heavier nuclei with only a few valence nucleons outside closed shells. Its application beyond these limits has been prohibited so far by the large scale of the calculations involved. For the description of nuclei beyond the sd shell having several valence nucleons the introduction of collective models becomes necessary. The first comprehensive phenomenological model of nuclear structure was the geometric collective model of A. Bohr and B.R. Mottelson. An alternative approach was proposed in 1974 by A. Arima and F. Iachello, known as the Interacting Boson Model. This model, which uses group theoretical techniques in the description of nuclear collective properties, has the advantage of relative simplicity, allowing for detailed calculations of the properties of even medium and heavy nuclei which cannot be reached by the shell model yet. Several extensions and generalizations of the model have appeared over the last decade. Algebraic descriptions for the effects of clustering, permanent octupole deformation, and giant resonances have also been given. For the description of odd nuclei the Interacting Boson-Fermion Model has been introduced, and nuclear supersymmetries associated with it have been analysed. The present text is designed to provide physicists with an accessible introduction to the subject.

AuthorDennis Bonatsos
PublisherOUP Oxford
Published1988
ISBN-139780198517276
BindingHardcover
Pages344
LanguageEnglish
SubjectsMathematics
TopicCosmology
SeriesOxford Studies in Nuclear Physics

Format: Hardcover

Length: 344 pages

Language: English

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