Interacting boson model

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The interacting boson model (IBM) is a model in nuclear physics in which nucleons (protons or neutrons) pair up, essentially acting as a single particle with boson properties, with integral spin of either 2 (d-boson) or 0 (s-boson). They correspond to a quintuplet and singlet, i.e. 6 states.

It is sometimes known as the Interacting boson approximation (IBA).^[1]: 7

The IBM1/IBM-I model treats both types of nucleons the same and considers only pairs of nucleons coupled to total angular momentum 0 and 2, called respectively, s and d bosons.

The IBM2/IBM-II model treats protons and neutrons separately.

Both models are restricted to nuclei with even numbers of protons and neutrons.^[1]: 9

The model can be used to predict vibrational and rotational modes of non-spherical nuclei.^[2]

This model was invented by Akito Arima and Francesco Iachello in 1974.^[1]: 6 while working at the Kernfysisch Versneller Instituut(KVI) in Groningen, Netherlands. KVI is now property of Universitair Medisch Centrum Groningen (https://umcgresearch.org/).

• Liquid drop model
• Nuclear shell model

• Arima, A.; Iachello, F. (1975-10-20). "Collective Nuclear States as Representations of a SU(6) Group". Physical Review Letters. 35 (16). American Physical Society (APS): 1069–1072. Bibcode:1975PhRvL..35.1069A. doi:10.1103/physrevlett.35.1069. ISSN 0031-9007.
• Iachello, F; Arima, A. (1987). The Interacting Boson Model. Cambridge: Cambridge University Press. ISBN 978-0-511-89551-7. OCLC 776970502.
• Arima, A; Iachello, F (1976). "Interacting boson model of collective states I. The vibrational limit". Annals of Physics. 99 (2). Elsevier BV: 253–317. Bibcode:1976AnPhy..99..253A. doi:10.1016/0003-4916(76)90097-x. ISSN 0003-4916.
• Arima, A; Iachello, F (1978). "Interacting boson model of collective nuclear states II. The rotational limit". Annals of Physics. 111 (1). Elsevier BV: 201–238. Bibcode:1978AnPhy.111..201A. doi:10.1016/0003-4916(78)90228-2. ISSN 0003-4916.
• Scholten, O; Iachello, F; Arima, A (1978). "Interacting boson model of collective nuclear states III. The transition from SU(5) to SU(3)". Annals of Physics. 115 (2). Elsevier BV: 325–366. Bibcode:1978AnPhy.115..325S. doi:10.1016/0003-4916(78)90159-8. ISSN 0003-4916.
• Arima, A; Iachello, F (1979). "Interacting boson model of collective nuclear states IV. The O(6) limit". Annals of Physics. 123 (2). Elsevier BV: 468–492. Bibcode:1979AnPhy.123..468A. doi:10.1016/0003-4916(79)90347-6. ISSN 0003-4916.
• Arima, A; Iachello, F (1981). "The Interacting Boson Model". Annual Review of Nuclear and Particle Science. 31 (1). Annual Reviews: 75–105. Bibcode:1981ARNPS..31...75A. doi:10.1146/annurev.ns.31.120181.000451. ISSN 0163-8998.
• Talmi, Igal (1993). Simple models of complex nuclei : the shell model and interacting boson model. Chur, Switzerland Langhorne, Pa., U.S.A: Harwood Academic Publishers. ISBN 978-3-7186-0550-7. OCLC 25706648.

• Evolution of shapes in even–even nuclei using the standard interacting boson model

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