10TH International workshop on quantum phase transitions in nuclei and many-body systems

Session

Density functional and beyond-mean-field approaches to QPTs in nuclei

11 Jul 2022, 15:00

IUC

Conveners

Density functional and beyond-mean-field approaches to QPTs in nuclei

• Dario Vretenar (University of Zagreb)
• Tamara Niksic (University of Zagreb)

Density functional and beyond-mean-field approaches to QPTs in nuclei

• Dario Vretenar
• Tamara Nikšić

71. Quantum phase transitions in microscopic nuclear structure calculations

Tomás Raúl Rodríguez Frutos (Universidad Autónoma de Madrid)

11/07/2022, 15:00

Density functional and beyond-mean-field approaches to QPTs in nuclei

Studying the structure of the atomic nucleus from its constituent interacting particles is a difficult task. One of the most successful methods to tackle the nuclear many-body problem from a microscopic perspective is based on the definition of non-relativistic and/or relativistic energy density functionals (EDFs). In this contribution I will summarize some quantum phase transitions that could...

15. Beyond-mean-field approaches for nuclear neutrinoless double beta decay

Peter Ring (Physik-Department der Technischen Universität München, D-85748 Garching, Germany; School of Physics, Peking University, Beijing 100871)

11/07/2022, 15:30

Density functional and beyond-mean-field approaches to QPTs in nuclei

Neutrinoless double beta decay, if it exists, would provide a crucial probe to fundamental symmetries in nature. Over the years, it has been investigated with many different methods ranging from mean-field approaches based on the quasiparticle random-phase approximation over investigations within the Interacting Boson Model and configuration mixing calculations in restricted configuration...

20. Nuclear charge radius predictions from DFT-based models

Markus Kortelainen

11/07/2022, 15:55

Density functional and beyond-mean-field approaches to QPTs in nuclei

The nuclear charge radii can provide information about the strong and electromagnetic forces acting inside the atomic nucleus on its constituents. While the global trend of nuclear charge radius is governed by the nuclear-matter bulk properties, its local variation is affected by the quantum mechanical nuclear-structure aspects. In recent years, tremendous progress in the experimental...

21. Shape transitions triggered by the extremes of charge, isospin and angular momentum

Anatoli Afanasjev

11/07/2022, 16:20

Density functional and beyond-mean-field approaches to QPTs in nuclei

The detailed investigation of new physical mechanisms which allows to extend the boundaries of particle-bound nuclear landscape beyond the traditional limits and lead to exotic nuclear shapes has been performed over recent years [1-5]. The increased role of the Coulomb interaction in the hyperheavy $(Z\ge 126)$ nuclei leads to the situation when toroidal shapes become more energetically...

89. Coexistence of nuclear shapes: mean-field and beyond

Tamara Nikšić (University of Zagreb)

11/07/2022, 17:15

Density functional and beyond-mean-field approaches to QPTs in nuclei

The microscopic self-consistent mean-field (SCMF) framework based on an universal energy density functionals provides an accurate global description of nuclear ground states and collective excitations, from relatively light systems to superheavy nuclei, and from the valley of beta-stability to the particle drip-lines.
Based on this framework, structure models have been developed that go...

78. Shape coexistence with Gogny EDF: recent results

Tomás R. Rodríguez (Universidad Autónoma de Madrid)

11/07/2022, 17:35

Density functional and beyond-mean-field approaches to QPTs in nuclei

Gogny energy density functionals including beyond-mean field effects are the perfect theoretical tool to study the shape evolution and potential shape mixing and coexistence along isotopic/ isotonic chains. In this presentation I will discuss recent calculations within the symmetry conserving configuration mixing method (SCCM) performed in the cadmium isotopic chain, in particular, I will show...

41. Shape coexistence and mixing within the Bohr model

Petrica Buganu

11/07/2022, 17:55

Density functional and beyond-mean-field approaches to QPTs in nuclei

The Bohr Hamiltonian [1,2] with a sextic potential, having two minima, a spherical and a deformed one separated by a barrier, was diagonalized in a basis of Bessel functions of the first kind [3]. The model, depending on the height of the potential barrier (Panels 1-4 of Figure 1 from [4]), can describe the well-known critical points from spherical vibrator to prolate / γ-unstable rotor if...

68. Shape transitions and low level structure in the Hg region within the relativistic density functional theory

Konstantinos Karakatsanis (Department of physics, Faculty of Science, University of Zagreb)

11/07/2022, 18:15

Density functional and beyond-mean-field approaches to QPTs in nuclei

Quantum phase shape transitions and shape coexistence are one of the most active areas of theoretical and experimental research in nuclei [1]. Especially the region of neutron deficient Hg isotopes is a well known case, with recent experiments revisiting the area [2-5] and making it a suitable testing ground for theoretical models. Our approach is based on the relativistic density functional...

36. Microscopic description of octupole deformations and collective excitations in even - even Xe and Ba isotopes

Luka Lotina (University of Zagreb)

11/07/2022, 18:35

Density functional and beyond-mean-field approaches to QPTs in nuclei

In this talk, some of the recent results of the microscopic description of octupole collective excitations in the nuclei near N=56 and N=88 are presented. By performing the axially symmetric self-consistent mean field (SCMF) calculations with the DD-PC1 energy density functional, octupole deformations of the ground state shapes of even-even Ba and Xe isotopes are analysed. The excitation...