Spectroscopy of even-even open-shell nuclei via self-consistent Gorkov-Green’s function calculations

by Dr Gianluca Stellin (IJCLab)

Thursday Mar 20, 2025, 2:00 PM → 3:00 PM Europe/Paris

100/2-A201 - Salle A201 (IJCLab)

The fundamentals of the ab-initio Self-Consistent Gorkov Green’s function (SCGGF) [1, 2] approach for the investigation of low-lying energy spectrum of the semi-magic even-even nuclei are presented. In the last decade, the SCGGF method has brought a significant renewal in the realm of ab-initio approaches to nuclear structure, marking a step forward in the knowledge of bulk nuclear properties of even-even nuclei, such as the ones lying along the Ar-Cr [3, 4] isotopic chains. The access to the one-particle propagator has allowed the study of ground and excited states of neighbouring odd-A isotopes [5–7]. Nonetheless, the prediction of excited energy levels and reduced electric and magnetic multipole transition  probabilities calls for the introduction of the polarization
propagator, previously not embedded in the U(1)Z × U(1)N symmetry breaking formalism. In quantum chemistry, present-day approaches for the description of the spectrum of medium-sized organic molecules [8, 9] are based on diagrammatic many-body Green’s function theory applied to the polarization propagator at third order in the algebraic diagrammatic construction (ADC) approach [10–13]. Another return of this is study will be provided by the prediction of new shell closures in neutron-rich even-even nuclei, identified through the local maxima in the energy of the 2+1 state and in the related electric quadrupole transition probability, B(E2, 0+1 → 2+1 ) [14].

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[14] I. Bentley, Y. Colon Rodrıguez, S. Cunningham and A. Aprahamian, Phys. Rev. C 93, 044337 (2016).

 

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Abstract.pdf