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Algebraic and Topological Approaches for Atomic Nuclei and Related Systems

Project description

Shedding light on quark gluon soup and the evolution of atomic nuclei

For a fraction of a second after the Big Bang, the Universe consisted of a ‘primordial soup’ of elementary particles called quarks and gluons, known as quark gluon plasma (QGP). Almost instantaneously, as the soup began to cool, the quarks and gluons began forming protons and neutrons, the building blocks of atomic nuclei. Studying the behaviour of quarks, gluons, QGP and atomic nuclei is very challenging experimentally, so mathematical models are essential. With the support of the Marie Skłodowska-Curie Actions programme, the AlgeTopo project will investigate the structure and evolution of atomic nuclei via algebraic and topological approaches and employ the algebraic approach to QGP.

Objective

"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."

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Coordinator

COMMISSARIAT A L ENERGIE ATOMIQUE ET AUX ENERGIES ALTERNATIVES
Net EU contribution
€ 211 754,88
Address
RUE LEBLANC 25
75015 PARIS 15
France

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Region
Ile-de-France Ile-de-France Paris
Activity type
Research Organisations
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Total cost
No data