HEИндивидуална стипендия2023–2025

AlgeTopo · Algebraic and Topological Approaches for Atomic Nuclei and Related Systems

„Хоризонт Европа“ — Действия „Мария Склодовска-Кюри“

Период: 2023-09-10 → 2025-09-09
Финансиране от ЕС: 211 755 €
Участници: 1
Схема: HORIZON-TMA-MSCA-PF-EF

Линиите свързват координатора с партньорите.

Накратко на български

Атомните ядра и техните внезапни промени в състоянието се анализират чрез математически модели на симетрията. Това помага да се разбере как сложните взаимодействия между десетки и стотици частици се свеждат до прости принципи.

Този кратък обзор е генериран от изкуствен интелект

Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.

Резултати накратко

Algebraic and Topological Approaches for Atomic Nuclei and Related Systems

The goal of the project is to shed light on the emergence of “simplicity out of complexity” in atomic nuclei. This will be achieved by means of so-called algebraic methods based on group theory, which is the mathematical theory of symmetry. Group theory is of central importance in physics, in particular in the quantum world, and enables one to derive exact results on the basis of general principles without the knowledge of all intricate details of a physical system such as a nucleus. These goals will be achieved in the context of the interacting boson model (IBM), which considers the nucleus in terms of pairs of neutrons and protons, leading to a tremendous simplification of the problem of many (~50 to more than 200) interacting nucleons. Specifically, quantum phase transitions (QPTs), in which the nucleus undergoes a sudden transition as a function of some interaction parameter, can be conveniently described in the framework of the IBM. They are the focus of the project. QPTs have been studied in many domains of physics and some of the developments in condensed-matter physics related to the topology of the transition will be explored in nuclei. A separate but related objective is the application of the algebraic approach to define a new model of the quark-gluon plasma.

Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз

Цел на проекта

The primary goal of the current proposal is to understand the structure of atomic nuclei and its evolution by means of algebraic and topological approaches, and to employ the algebraic approach to Quark Gluon Plasma. The algebraic approach can offer considerable insight into complex dynamics by classifying underlying symmetries, derive selection rules, calculate many observables and predict many properties in nuclei in a tractable manner. The topological approach can offer new insight into the phases of matter of the nucleus.The different objectives of the proposal are ""Monte-Carlo code for interacting fermions and bosons"": we will develop a new open-access code for numerical calculations of fermions and bosons using the Monte-Carlo method. ""Mapping the Shell Model (SM) onto the Interacting Boson Model (IBM)"": we suggest a novel mapping approach based on effective field theory (EFT) in which we write the SM and IBM in EFT and investigate the structure of Lie algebras of the Feynman integrals, a method used for calculating multiloop radiative corrections, and use them to map the SM onto the IBM. ""Topological phases of atomic nuclei"": we will investigate the occurrence of Berry phases in semi-magic mid shell nuclei and find classes of topological orders in atomic nuclei by examining known and new analogies with condensed matter physics. ""Algebraic approach to QGP"": we will introduce a new algebraic model for QGP based on boson-fermion effective degrees of freedom with similar principles as the interacting boson-fermion model for atomic nuclei, in order to calculate the phase diagram in a tractable framework with insight to the symmetries of the diagram. The above objectives can spur more studies by the researcher, the supervisor and other experimental and theoretical research groups in different fields of physics and thus the researcher asks for their funding.""

Оригинален текст от CORDIS (на английски).

Участници

COMMISSARIAT A L ENERGIE ATOMIQUE ET AUX ENERGIES ALTERNATIVES · ParisКоординаторФранция