Two-nucleon transfer reactions as a test of quantum phase transitions in nuclei

Zhang, Y.; Iachello, F.

doi:10.1103/physrevc.95.034306

Cited by 18 publications

(26 citation statements)

References 35 publications

(43 reference statements)

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“…However, for vibrational nuclei, the intensity will be lost when the initial and final states have a different phonon composition due to the selection rules and . For well-deformed nuclei, the same as that shown in [12] holds, i.e, the ground state band is hardly connected with the quasi-band or not at all connected with the double-one.…”

Section: The Formalismmentioning

confidence: 51%

“…No fragmentation was observed in the QPT case. Evidently, the presence or absence of fragmentation in the case of a QPT depends on the precise characteristics of the used Hamiltonians, which is fragmented in the schematic calculation shown in [12,15,16] but not in the realistic case shown here.…”

Section: A = 100mentioning

confidence: 92%

“…This approach to explore the existence of QPTs was first used in Ref. [12], later in [13], and more recently in [14]. Moreover, the two-neutron transfer intensity has been used to analyze the possible interplay between QPT and shape coexistence in [15,16], which indicated that some differences exist when comparing a schematic QPT with a schematic shape coexistence situation.…”

Section: Introductionmentioning

confidence: 99%

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Two-neutron transfer reactions as a tool to study the interplay between shape coexistence and quantum phase transitions *

García-Ramos¹,

Arias²,

Vitturi³

2020

Chinese Phys. C

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The atomic mass table presents zones where the structure of the states changes rapidly as a function of the neutron or proton number. Among them, notable examples are the A ≈ 100 Zr region, the Pb region around the neutron midshell (N = 104), and the N ≈ 90 rare-earth region. The observed phenomena can be understood in terms of either shape coexistence or quantum phase transitions. The objective of this study is to find an observable that can distinguish between both shape coexistence and quantum phase transitions. As an observable to be analyzed, we selected the two-neutron transfer intensity between the 0 + states in the parent and daughter nuclei. The framework used for this study is the Interacting Boson Model (IBM), including its version with configuration mixing (IBM-CM). To generate wave functions of isotope chains of interest needed for calculating transfer intensities, previous systematic studies using IBM and IBM-CM were used without changing the parameters. The results of two-neutron transfer intensities are presented for Zr, Hg, and Pt isotopic chains using IBM-CM. Moreover, for Zr, Pt, and Sm isotopic chains, the results are presented using IBM with only a single configuration, i.e., without using configuration mixing.For Zr, the two-neutron transfer intensities between the ground states provide a clear observable, indicating that normal and intruder configurations coexist in the low-lying spectrum and cross at A = 98 → 100. This can help clarify whether shape coexistence induces a given quantum phase transition. For Pt, in which shape coexistence is present and the regular and intruder configurations cross for the ground state, there is almost no impact on the value of the two-neutron transfer intensity. Similar is the situation with Hg, where the ground state always has a regular nature.For the Sm isotope chain, which is one of the quantum phase transition paradigms, the value of the two-neutron transfer intensity is affected strongly.

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Section: The Formalismmentioning

confidence: 51%

Section: A = 100mentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Two-neutron transfer reactions as a tool to study the interplay between shape coexistence and quantum phase transitions *

García-Ramos¹,

Arias²,

Vitturi³

2020

Chinese Phys. C

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“…由于这些序参量都与给定的激发态相联系, 因而不能直接用于检验随激发能演化出现的激发态量子相变现象. 一方面, 最近研究表明 [25,26] , 两核子转移反应可以从强子探针角度为检验原子核形状相变提供新途径 [27] , 其中单极对转…”

Section: 典型例子为描述原子核结构的相互作用玻色子模型unclassified

Excited-state quantum phase transitions in nuclear system and nucleon-pair transfer intensity

Liu¹,

Xiu²,

Dong³

2019

Sci. Sin.-Phys. Mech. Astron.

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Decoy-state quantum key distribution for the heralded pair coherent state photon source with intensity fluctuations SCIENCE CHINA Information Sciences 53, 2485 (2010); Characteristics of Electrode Reactions of Excited-state Species Chinese Science Bulletin 38, 290 (1993); Excited-state properties of asymmetric pentaazadentate expanded porphyrins Science in China Series B-Chemistry 39, 509 (1996); Excited-state nonlinear absorption and its description using density matrix theory

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“…Ref. [12], later in [13] and more recently in [14]. Moreover, the two-neutron transfer intensity has been used to analyze the possible interplay between QPT and shape coexistence in [15,16] proving that some differences are in order when comparing a schematic QPT with a schematic shape coexistence situation, namely, the two-neutron transfer intensity is much more fragmented in the case of a QPT than in the case of the presence of shape coexistence, though in both cases rapid changes appear in this observable.…”

Section: Introductionmentioning

confidence: 99%

Two-neutron transfer reactions as a tool to study the interplay between shape coexistence and quantum phase transitions

García-Ramos,

Arias,

Vitturi

2020

Preprint

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The atomic mass table presents zones where the structure of the states changes rapidly as a function of the neutron or proton number. Among them, notable examples are the A ≈ 100 Zr region, the Pb region around N = 104 neutron midshell or the N ≈ 90 rare-earth region. The observed phenomena can be understood in terms either of shape coexistence or quantum phase transitions. The goal of this study is to find an observable that could distinguish between both phenomena, shape coexistence and quantum phase transitions. The selected observable to be analyzed is the two-neutron transfer intensity between the 0 + states in the parent and daughter nuclei. The framework in which the study is done is the Interacting Boson Model (IBM), including its version with configuration mixing (IBM-CM). In order to generate the wave functions of the isotope chains of interest, needed for calculating transfer intensities, previous systematic studies with IBM and IBM-CM are taken without changing the parameters. Results for two-neutron transfer intensities are presented for Zr, Hg and Pt isotopic chains using IBM-CM and, moreover, the same is done for Zr, Pt and Sm isotopic chains using IBM with just a single configuration, i.e., without using configuration mixing. In the case of Zr, the two-neutron transfer intensities between the ground states provide a clear observable indicating that normal and intruder configurations coexist in the low-lying spectrum and that they cross at A = 98 → 100, and this could allow to disentangle whether or not shape coexistence is inducing a given QPT. In the case of Pt, where shape coexistence is present and the regular and the intruder configurations cross for the ground state, there is almost no influence in the value of the two-neutron transfer, neither in the case of Hg where the ground state always has regular nature. For the Sm isotope chain that is one of the quantum phase transition paradigms, the value of the two-neutron transfer is strongly affected.

show abstract

Two-nucleon transfer reactions as a test of quantum phase transitions in nuclei

Cited by 18 publications

References 35 publications

Two-neutron transfer reactions as a tool to study the interplay between shape coexistence and quantum phase transitions *

Two-neutron transfer reactions as a tool to study the interplay between shape coexistence and quantum phase transitions *

Excited-state quantum phase transitions in nuclear system and nucleon-pair transfer intensity

Two-neutron transfer reactions as a tool to study the interplay between shape coexistence and quantum phase transitions

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