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"headline": "Presentations",
"description" : "ORAL PRESENTATIONS Arjan Berger (LCPQ, Toulouse) The one-point model: solving equations in pointland\nIn the one-point model we consider a zero-dimensional space. The advantage of this model is that the many-body equations simplify enormously and can be solved analytically. In particular, the one-body Greenʼs function is a solution of a set of functional integro-differential equations, which relate the one-particle Greenʼs function to its functional derivative with respect to an external potential [1].",
"inLanguage" : "en",
"wordCount": 4548 ,
"wordCount": 4834 ,
"datePublished" : "0001-01-01T00:00:00",
"dateModified" : "0001-01-01T00:00:00",
"image" : "https:\/\/lcpq.github.io\/MSQM\/img\/sphericalcow.png",
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In this talk I will review historical developments of several symmetry models of the atomic
nucleus and discuss applications of relevance to current studies in nuclear structure.</p>
<h3 id="alexander-tichai-tu-darmstadt">Alexander Tichai (TU, Darmstadt)</h3>
<p><strong>TBA</strong></p>
<p><strong>Nuclear superfluidity: the Pairing Hamiltonian as a many-body testbed</strong></p>
<p>Atomic nuclei away from shell closures are characterized by strong static correlations that are (partly) linked to the emergence of superfluidity responsible for characteristic patterns in the nuclear phenomenology, e.g. odd-even mass staggering along isotopic chains. While the onset of superfluidity is accompanied by a breakdown of symmetry-conserving Hartree-Fock theory, the corresponding pairing correlations can be efficiently grasped by spontaneously breaking (and restoring) particle-number symmetry.</p>
<p>In this talk I will discuss the Pairing Hamiltonian as a schematic model for superfluidity. Its exact solution for arbitrary system size is available from the seminal work of Richardson from the 1960s [1]. Since then it has been frequently used as a testbed in (nuclear) many-body theory.
I will review a collection of frameworks including mean-field theory, many-body perturbation theory [2] and coupled cluster theory [3,4], and highlight the role of the symmetry restoration.
Furthermore, I will present recent emulator developments that enable robust interpolation/extrapolation in the coupling value [5]. I will conclude with an overview of particle-number-broken many-body frameworks applied in realistic first-principles simulations of atomic nuclei as motivated by their success for the Pairing Hamiltonian [6,7].</p>
<p>[1] R. Richardson, Phys. Lett. 3, 277 (1963)
[2] D. Lacroix, D. Gambacurta, Phys. Rev. C 86, 014306 (2012)
[3] T. Henderson, G. E. Scuseria, J. Dukelsky, A. Signoracci, T. Duguet, Phys. Rev. C 89, 054305 (2014)
[4] Y. Qiu, T. M. Henderson, J. Zhao, G. E. Scuseria, J. Chem. Phys. 147, 064111 (2017)
[5] M. Companys Franzke, A. Tichai, K. Hebeler, A. Schwenk, arXiv:2302:08373 (2023)
[6] A. Tichai, P. Arthuis, T. Duguet, H. Hergert, V. Somà, R. Roth, Phys. Lett. B 786, 195 (2018)
[7] A. Tichai, P. Demol, T. Duguet, arXiv:2307:15619 (2023)</p>
<h3 id="denis-lacroix-in2p3-orsay">Denis Lacroix (IN2P3, Orsay)</h3>
<p><strong>Exploring the richness of the Lipkin Model and its extensions: from nuclear to neutrino physics and quantum computing</strong></p>
<p>I will discuss the basic ingredient of the Lipkin model consisting of a set of permutation invariant 2-level systems occupied by fermions.
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