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Ph.D. Raffaele Del Grande

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Dense and Strange Hadronic Matter

Courses and Dates

Offered Bachelor’s or Master’s Theses Topics

Investigating the three-body strong interaction using correlation techniques at the LHC
One of the most compact and dense astrophysical objects in our Universe are the Neutron Stars (NS). The composition of the inner region of the NS is still not known, and several hypotheses have been postulated in the last decades (for a complete review see [1]). Our current knowledge reveals that, beside the neutrons, particles with strange quark content (called hyperons) can be produced. The inner structure and composition of the NS can be modelled by means of Equation of States in which all the fundamental interactions among the constituents are considered. A crucial role to understand the inner structure of the NS is played by the three-body forces among the nucleons and the hyperons. Nevertheless, an accurate microscopic description of the three-body problem is still far to be achieved and precise experimental data to test the existing models are strongly demanded. The two-body strong interaction among hadrons have been recently explored with femtoscopy studies at the LHC with the ALICE detector (see e.g. [2-3]). The femtoscopy technique analyses the correlation in the momentum space between the particles (e.g. hyperons and nucleons) emitted in proton-proton collisions at the center of mass energy of 13 TeV. The theoretical correlation functions are also calculated, given the interaction potentials or the wave functions of the interacting two-body systems (see [4]). Such powerful analysis technique will be extended to the three-body systems. The candidate student will develop this new analysis method in the case of the three-body interaction between produced particles. Given the interaction potential, the student will calculate the analytical wave function by using the perturbation theory in the context of the non-relativistic Quantum Mechanics and will implement an algorithm in the C++ language that will allow to solve the Schroedinger equation for the three interacting particles. The analysis tools developed in this work will be tested by using the ALICE RUN2 data and will be used to analyse the future RUN3 data (the data taking will start in 2022) that will provide the highest statistic ever in number of events to study the three-body correlations. To conclude, the proposed work of thesis will serve to the student in developing both the theoretical and data analysis skills; the student will work in the context of an international collaboration and will contribute to extend the femtoscopy technique to the case of the three-body forces among hadrons which are fundamental to unveil the inner composition and structure of one of the most fascinating objects in our Universe. [1] L. Tolos and L. Fabbietti Prog.Part.Nucl.Phys. 112 (2020) 103770 [2] ALICE Collaboration, Nature, e-Print: 2005.11495 [nucl-ex] [3] ALICE Collaboration, Physics Letters B 805 (2020), 135419 [4] D. L. Mihaylov, V. Mantovani Sarti, O.W. Arnold, L. Fabbietti, B. Hohlweger et al., Eur.Phys.J.C 78 (2018) 5, 394
suitable as
  • Bachelor’s Thesis Physics
  • Master’s Thesis Nuclear, Particle, and Astrophysics
Supervisor: Laura Fabbietti
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