Theoretical Methods for Giant Resonances

Colò, Gianluca

doi:10.1007/978-981-15-8818-1_72-1

Handbook of Nuclear Physics 2022

DOI: 10.1007/978-981-15-8818-1_72-1

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Theoretical Methods for Giant Resonances

Gianluca Colò

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2024

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Cited by 2 publications

References 70 publications

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Ab initio description of monopole resonances in light- and medium-mass nuclei

Porro,

Duguet,

Ebran

et al. 2024

Eur. Phys. J. A

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The paper is the third of a series dedicated to the ab initio description of monopole giant resonances in mid-mass closed- and open-shell nuclei via the so-called projected generator coordinate method. The present focus is on the computation of the moments $$m_k$$ m k of the monopole strength distribution, which are used to quantify its centroid energy and dispersion. First, the capacity to compute low-order moments via two different methods is developed and benchmarked for the $$m_1$$ m 1 moment. Second, the impact of the angular momentum projection on the centroid energy and dispersion of the monopole strength is analysed before comparing the results to those obtained from consistent quasi-particle random phase approximation calculations. Next, the so-called energy weighted sum rule (EWSR) is investigated. First, the appropriate ESWR in the center-of-mass frame is derived analytically. Second, the intrinsic EWSR is tested in order to quantify the (unwanted) local-gauge symmetry breaking of the presently employed chiral effective field theory ($$\chi $$ χ EFT) interactions. Finally, the infinite nuclear matter incompressibility associated with the employed $$\chi $$ χ EFT interactions is extracted by extrapolating the finite-nucleus incompressibility computed from the monopole centroid energy.

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Ab initio description of monopole resonances in light- and medium-mass nuclei

Porro,

Duguet,

Ebran

et al. 2024

Eur. Phys. J. A

View full text Add to dashboard Cite

show abstract

Ab initio description of monopole resonances in light- and medium-mass nuclei

Porro,

Duguet,

Ebran

et al. 2024

Eur. Phys. J. A

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Giant Resonances are, with nuclear rotations, the most evident expression of collectivity in finite nuclei. These two categories of excitations, however, are traditionally described within different formal schemes, such that vibrational and rotational degrees of freedom are separately treated and coupling effects between those are often neglected. The present work puts forward an approach aiming at a consistent treatment of vibrations and rotations. Specifically, this paper is the last in a series of four dedicated to the investigation of the giant monopole resonance in doubly open-shell nuclei via the ab initio Projected Generator Coordinate Method (PGCM). The present focus is on the treatment and impact of angular momentum restoration within such calculations. The PGCM being based on the use of deformed mean-field states, the angular-momentum restoration is performed when solving the secular equation to extract vibrational excitations. In this context, it is shown that performing the angular momentum restoration only after solving the secular equation contaminates the monopole response with an unphysical coupling to the rotational motion, as was also shown recently for (quasi-particle) random phase approximation calculations based on a deformed reference state. Eventually, the present work based on the PGCM confirms that an a priori angular momentum restoration is necessary to handle consistently both collective motions at the same time. This further pleads in favor of implementing the full-fledged projected (quasi-particle) random phase approximation in the future.

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Theoretical Methods for Giant Resonances

Cited by 2 publications

References 70 publications

Ab initio description of monopole resonances in light- and medium-mass nuclei

Ab initio description of monopole resonances in light- and medium-mass nuclei

Ab initio description of monopole resonances in light- and medium-mass nuclei

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