Quantum Phase Transition in an Extension of the Interacting Boson Model Based on Dual Algebraic Structure

A. Jalili Majarshin; H. Sabri; PAN Feng

doi:10.11804/NuclPhysRev.35.04.482

An extension of the original interacting boson model to the multi-level case including negative parity f-and p-bosons is made. An affinealgebraic approach is applied to solve the multi-level pairing problem numerically via the dual algebraic structure. The duality relation is explicitly used to construct the number-conserving unitary and number-nonconserving quasi-spin algebra, related with the Hamiltonian and the corresponding bases. After fitting to the experimental level energies of even-even ^106-116Cd, several order parameters to signify the shape (phase) transition, such as occupation numbers of the bosons in the ground and a few lowest excited states, the level energy staggering in the (quasi)-γ band, are calculated to demonstrate the shape (phase) transitional behavior of these medium mass transitional nuclei.

Quantum Phase Transition in an Extension of the Interacting Boson Model Based on Dual Algebraic Structure

1. Department of Physics, Liaoning Normal University, Dalian 116029, Liaoning, China;

2. Department of Physics, University of Tabriz, Tabriz 51664, Iran;

3. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA

Funds: National Natural Science Foundation of China (11675071, 11747318); China-U. S. Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) (DE-SC0009971); LSU-LNNU Joint Research

Received Date: 2018-09-23

Rev Recd Date: 2018-11-02

Publish Date: 2020-05-03

Key words:

Abstract: An extension of the original interacting boson model to the multi-level case including negative parity f-and p-bosons is made. An affinealgebraic approach is applied to solve the multi-level pairing problem numerically via the dual algebraic structure. The duality relation is explicitly used to construct the number-conserving unitary and number-nonconserving quasi-spin algebra, related with the Hamiltonian and the corresponding bases. After fitting to the experimental level energies of even-even ^106-116Cd, several order parameters to signify the shape (phase) transition, such as occupation numbers of the bosons in the ground and a few lowest excited states, the level energy staggering in the (quasi)-γ band, are calculated to demonstrate the shape (phase) transitional behavior of these medium mass transitional nuclei.

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Quantum Phase Transition in an Extension of the Interacting Boson Model Based on Dual Algebraic Structure

doi: 10.11804/NuclPhysRev.35.04.482

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