Zr Isotopes as a region of intertwined quantum phase transitions

Gavrielov, N.; Leviatan, A.; Iachello, F.

doi:10.48550/arxiv.2112.09454

Cited by 2 publications

(3 citation statements)

References 76 publications

(245 reference statements)

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“…direction and the ground state is prolate with β 20 = 0.21. This is similar with the result obtained from the IBM-1 Hamiltonian in the classical limit [85] and RMF+BCS with PC-PK1 [86], but different from recent IBM with configuration calculations, which predict a weakly-deformed 96 Zr [87]. For the AS-RA PES E(β 20 , β 30 ) in Fig.…”

Section: Resultssupporting

confidence: 83%

Static octupole deformations in $^{96}$Zr from angular momentum and parity projections

Rong¹,

Lü²

2022

Preprint

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The shapes of zirconium isotopes remain an unsettled question drawing many interests. Recent analysis based on the STAR measurement in relativistic heavy-ion collision experiments provide evidences of non-zero β 30 in the ground state of 96 Zr [1], however, conventional nuclear structure models do not favour these pear-like shapes. To resolve this issue, in this work we perform systematic projection-after-variation calculations for 96 Zr based on the multidimensionally constrained relativistic Hartree-Bogoliubov model. We consider all β λµ with even µ simultaneously and present selected potential energy surfaces (PES's) and projected PES's with certain angular momentum and parity combinations. While the mean-field calculations always predict reflection-symmetric ground states, static octupole deformations emerge after projecting to the 0 + state. We find that β 20 , β 22 , β 30 and β 32 are all necessary for describing the ground state and their values vary significantly for excited states with different angular momenta and parities. These complex structures originate from the competition among various shell structures in this mass region. Our results suggest that both beyond-mean-field effects and exotic shapes are essential elements for understanding the structure of 96 Zr.

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Section: Resultssupporting

confidence: 83%

Static octupole deformations in $^{96}$Zr from angular momentum and parity projections

Rong¹,

Lü²

2022

Preprint

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“…For example, most typical quadrupole oscillation phonons have J P = 2 + , two-phonon states around twice excitations are with J P = 4 + , 2 + , 0 + , etc. More accurate description is provided by anharmonic oscillators for "interacting bosons model" IBM, for recent discussion of Zr isotopes in it and general references see [10].…”

Section: What Excitation Spectra Of Both "Isobar" Nuclei Can Tell Us ...mentioning

confidence: 99%

“…Let us show how it looks in practice, for particular nucleus in question. The experimental and calculated parts of the spectra, from [10], are shown in Fig. 5.…”

Section: What Excitation Spectra Of Both "Isobar" Nuclei Can Tell Us ...mentioning

confidence: 99%

The heavy ions are "preheated" prior to hight energy collisions

Shuryak¹

2022

Preprint

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The so called "isobar run" or RHIC was designed to compare a number of observables for collisions of 96 40 Zr with those of 96 44 Ru, aimed at identification of Z-dependent effects. However, the STAR data have shown, with unprecedented accuracy, that these two nuclides have properties which differ stronger than expected, and multiple studies tried to quantify their shape differences, in relation to various observables. General consensus is that it somehow should be related to nuclear structure calculations, for the ground and lowest excited states. Yet the precise connection between these fields -low and high energy nuclear physics -is still missing. In this paper I propose such a connection, via a concept of thermal density matrices of a "preheated" nuclei.

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Zr Isotopes as a region of intertwined quantum phase transitions

Cited by 2 publications

References 76 publications

Static octupole deformations in $^{96}$Zr from angular momentum and parity projections

Static octupole deformations in $^{96}$Zr from angular momentum and parity projections

The heavy ions are "preheated" prior to hight energy collisions

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