Microscopic aspects of the IBA

Bruce R. Barrett; Stuart Pittel; Philip D. Duval

doi:10.1016/0375-9474(83)90024-6

Microscopic aspects of the IBA

Bruce R. Barrett, Stuart Pittel, Philip D. Duval

Research output: Contribution to journal › Article › peer-review

Abstract

The current status of efforts to derive the Interacting Boson Model (IBM) from the microscopic Shell Model is described. Although several boson mapping procedures presently exist, only the procedure of Otsuka, Arima and Iachello (OAI) is discussed in detail. The IBM bosons are assumed to be correlated pairs of identical nucleons of definite generalized seniority and angular momentum. The steps, which must be implemented in the OAI procedure in order for it to be considered a truly microscopic theory of the IBM, are then described. Using this procedure, we present results of typical calculations for the IBM-2 parameter X_v, as an illustration.

Original language	English (US)
Pages (from-to)	267-279
Number of pages	13
Journal	Nuclear Physics, Section A
Volume	396
Issue number	C
DOIs	https://doi.org/10.1016/0375-9474(83)90024-6
State	Published - Mar 21 1983
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0375-9474(83)90024-6

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title = "Microscopic aspects of the IBA",

abstract = "The current status of efforts to derive the Interacting Boson Model (IBM) from the microscopic Shell Model is described. Although several boson mapping procedures presently exist, only the procedure of Otsuka, Arima and Iachello (OAI) is discussed in detail. The IBM bosons are assumed to be correlated pairs of identical nucleons of definite generalized seniority and angular momentum. The steps, which must be implemented in the OAI procedure in order for it to be considered a truly microscopic theory of the IBM, are then described. Using this procedure, we present results of typical calculations for the IBM-2 parameter Xv, as an illustration.",

author = "Barrett, {Bruce R.} and Stuart Pittel and Duval, {Philip D.}",

note = "Funding Information: One of us (BRB) would like to acknowledge partial support of this work by the National Science Foundation, grant nos. PHY81-00141 and PHY77-27084, and would like to thank Prof. J. Zabolitzky for reading and making helpful comments regarding this manuscript and Prof. W. Kohn for the hospitality of the Institute for Theoretical Physics, where this manuscript was prepared. Similarly, SP would like to acknowledge partial support by the National Science Foundation, grant no. PHY80-15342.",

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doi = "10.1016/0375-9474(83)90024-6",

language = "English (US)",

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T1 - Microscopic aspects of the IBA

AU - Barrett, Bruce R.

AU - Pittel, Stuart

AU - Duval, Philip D.

N1 - Funding Information: One of us (BRB) would like to acknowledge partial support of this work by the National Science Foundation, grant nos. PHY81-00141 and PHY77-27084, and would like to thank Prof. J. Zabolitzky for reading and making helpful comments regarding this manuscript and Prof. W. Kohn for the hospitality of the Institute for Theoretical Physics, where this manuscript was prepared. Similarly, SP would like to acknowledge partial support by the National Science Foundation, grant no. PHY80-15342.

PY - 1983/3/21

Y1 - 1983/3/21

N2 - The current status of efforts to derive the Interacting Boson Model (IBM) from the microscopic Shell Model is described. Although several boson mapping procedures presently exist, only the procedure of Otsuka, Arima and Iachello (OAI) is discussed in detail. The IBM bosons are assumed to be correlated pairs of identical nucleons of definite generalized seniority and angular momentum. The steps, which must be implemented in the OAI procedure in order for it to be considered a truly microscopic theory of the IBM, are then described. Using this procedure, we present results of typical calculations for the IBM-2 parameter Xv, as an illustration.

AB - The current status of efforts to derive the Interacting Boson Model (IBM) from the microscopic Shell Model is described. Although several boson mapping procedures presently exist, only the procedure of Otsuka, Arima and Iachello (OAI) is discussed in detail. The IBM bosons are assumed to be correlated pairs of identical nucleons of definite generalized seniority and angular momentum. The steps, which must be implemented in the OAI procedure in order for it to be considered a truly microscopic theory of the IBM, are then described. Using this procedure, we present results of typical calculations for the IBM-2 parameter Xv, as an illustration.

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JO - Nuclear Physics A

JF - Nuclear Physics A

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Microscopic aspects of the IBA

Abstract

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