M.A. Jafarizadeh , N. Amiri , M. Seidi , M. Ghapanvari
{"title":"Quantum entanglement of SO(6)-U(5) transitional nuclei in the interacting boson model-2 (IBM-2)","authors":"M.A. Jafarizadeh , N. Amiri , M. Seidi , M. Ghapanvari","doi":"10.1016/j.nuclphysa.2023.122814","DOIUrl":null,"url":null,"abstract":"<div><p>The quantum shape phase transition between the spherical and deformed <em>γ</em>-unstable (<span><math><mi>U</mi><mo>(</mo><mn>5</mn><mo>)</mo><mo>−</mo><mi>O</mi><mo>(</mo><mn>6</mn><mo>)</mo></math></span>) even-even nuclei within the frameworks of Interacting Boson Model-1 and 2 (IBM-1,2) for low-lying states, using the “entanglement entropy” (S) has been studied. In both frameworks, the theoretical results showed that there exist minimum and maximum entanglement values between s bosons in the U(5) and O(6) limits, respectively. In order to confirmation of the theoretical results, we have calculated and analyzed the entanglement entropy of <span><math><mi>s</mi><mo>−</mo><mi>d</mi></math></span> bosons and proton (<em>π</em>) - neutron (<em>ν</em>) bosons in Cerium (<span><math><mmultiscripts><mrow><mi>C</mi></mrow><mprescripts></mprescripts><mrow><mn>58</mn></mrow><mrow><mn>122</mn><mo>−</mo><mn>136</mn></mrow></mmultiscripts><mi>e</mi></math></span>) isotopes. The results indicate that the entanglement entropy correctly describes the transition from U(5) to O(6), for ground state (<span><math><msubsup><mrow><mn>0</mn></mrow><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msubsup></math></span>), but it cannot accurately determine the transitional nucleus.</p></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S037594742300218X","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
引用次数: 0
Abstract
The quantum shape phase transition between the spherical and deformed γ-unstable () even-even nuclei within the frameworks of Interacting Boson Model-1 and 2 (IBM-1,2) for low-lying states, using the “entanglement entropy” (S) has been studied. In both frameworks, the theoretical results showed that there exist minimum and maximum entanglement values between s bosons in the U(5) and O(6) limits, respectively. In order to confirmation of the theoretical results, we have calculated and analyzed the entanglement entropy of bosons and proton (π) - neutron (ν) bosons in Cerium () isotopes. The results indicate that the entanglement entropy correctly describes the transition from U(5) to O(6), for ground state (), but it cannot accurately determine the transitional nucleus.
期刊介绍:
Nuclear Physics A focuses on the domain of nuclear and hadronic physics and includes the following subsections: Nuclear Structure and Dynamics; Intermediate and High Energy Heavy Ion Physics; Hadronic Physics; Electromagnetic and Weak Interactions; Nuclear Astrophysics. The emphasis is on original research papers. A number of carefully selected and reviewed conference proceedings are published as an integral part of the journal.