Review of Shape Phase Transition Studies for Bose-Fermi Systems: The Effect of the Odd-Particle on the Bosonic Core

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dc.authoridArias, Jose M./0000-0001-7363-4328
dc.authoridAlonso, Clara E./0000-0001-9365-4107
dc.authoridBoyukata, Mahmut/0000-0002-8065-9993
dc.authoridFortunato, Lorenzo/0000-0003-2137-635X
dc.contributor.authorBoyukata, M.
dc.contributor.authorAlonso, C. E.
dc.contributor.authorArias, J. M.
dc.contributor.authorFortunato, L.
dc.contributor.authorVitturi, A.
dc.date.accessioned2025-01-21T16:44:16Z
dc.date.available2025-01-21T16:44:16Z
dc.date.issued2021
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThe quantum phase transition studies we have done during the last few years for odd-even systems are reviewed. The focus is on the quantum shape phase transition in Bose-Fermi systems. They are studied within the Interacting Boson-Fermion Model (IBFM). The geometry is included in this model by using the intrinsic frame formalism based on the concept of coherent states. First, the critical point symmetries E(5/4) and E(5/12) are summarized. E(5/4) describes the case of a single j = 3/2 particle coupled to a bosonic core that undergoes a transition from spherical to gamma-unstable. E(5/12) is an extension of E(5/4) that describes the multi-j case (j = 1/2,3/2,5/2) along the same transitional path. Both, E(5/4) and E(5/12), are formulated in a geometrical context using the Bohr Hamiltonian. Similar situations can be studied within the IBFM considering the transitional path from U-BF(5) to O-BF(6). Such studies are also presented. No critical points have been proposed for other paths in odd-even systems as, for instance, the transition from spherical to axially deformed shapes. However, the study of such shape phase transition can be done easily within the IBFM considering the path from U-BF(5) (spherical) to SUBF(3) (axial deformed). Thus, in a second part, this study is presented for the multi-j case. Energy levels and potential energy surfaces obtained within the intrinsic frame formalism of the IBFM Hamiltonian are discussed. Finally, our recent works within the IBFM for a single-j fermion coupled to a bosonic core that performs different shape phase transitional paths are reviewed. All significant paths in the model space are studied: from spherical to gamma-unstable shape, from spherical to axially deformed (prolate and oblate) shapes, and from prolate to oblate shape passing through the gamma-unstable shape. The aim of these applications is to understand the effect of the coupled fermion on the core when moving along a given transitional path and how the coupled fermion modifies the bosonic core around the critical points.
dc.description.sponsorshipScientific and Technical Research Council of Turkey (TUBITAK) [119T127]; Scientific Research Projects Coordination Unit of Kirikkale University [2016/001-351, 2019/040]; Consejeria de Economia, Conocimiento, Empresas y Universidad de la Junta de Andalucia (Spain) [FQM-160]; Spanish Ministerio de Ciencia e Innovacion [FIS2017-88410-P, PID2019-104002GB-C22]; European Commission
dc.description.sponsorshipThis work was supported by the Scientific and Technical Research Council of Turkey (TUBITAK), under the project number 119T127. M.B. thanks to Scientific Research Projects Coordination Unit of Kirikkale University for the supports of travel expenses to join scientific meetings held at Padova University in 2018 and 2019, under project numbers 2016/001-351 and 2019/040. This work has been also partially supported by the Consejeria de Economia, Conocimiento, Empresas y Universidad de la Junta de Andalucia (Spain) under Group FQM-160, by the Spanish Ministerio de Ciencia e Innovacion, ref. FIS2017-88410-P and PID2019-104002GB-C22, and by the European Commission, ref. H2020-INFRAIA-2014-2015 (ENSAR 2).
dc.identifier.doi10.3390/sym13020215
dc.identifier.issn2073-8994
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85100906641
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym13020215
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25403
dc.identifier.volume13
dc.identifier.wosWOS:000623217200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectnuclear structure models and methods; collective models; models based on group theory
dc.titleReview of Shape Phase Transition Studies for Bose-Fermi Systems: The Effect of the Odd-Particle on the Bosonic Core
dc.typeReview Article

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