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

Abstract

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.

arXiv commentTo be published in the Chinese Physics C

References in corpus (12)

• Quantum Phase Transition in the Shape of Zr isotopes
• Quantum phase transitions in the interacting boson model
• Nuclear shape coexistence: A study of the even-even Hg isotopes using the interacting boson model with configuration mixing
• The quest of shape coexistence in Zr isotopes
• The Pt isotopes: comparing the Interacting Boson Model with Configuration Mixing and the Extended Consistent-Q formalism
• Phase transitions and critical points in the rare-earth region
• The platinum nuclei: concealed configuration mixing and shape coexistence
• Nuclear binding energies: Global collective structure and local shell-model correlations
• A theoretical description of energy spectra and two-neutron separation energies for neutron-rich zirconium isotopes
• Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals
• Two-neutron transfer reactions and shape phase transitions in the microscopically-formulated interacting boson model
• Criticality in the configuration-mixed interacting boson model : (1) $U(5)-\hat{Q}(\chi )\cdot \hat{Q}(\chi )$ mixing

Cited by in corpus (2)

• Octupole correlation effects on two-neutron transfer intensity in rare-earth nuclei
• Octupole correlations in the excited $0^{+}$ states and two-neutron transfers in actinide nuclei