Ab initio description of monopole resonances in light- and medium-mass nuclei: III. Moments evaluation in ab initio PGCM calculations.

Autor: Porro, A., Duguet, T., Ebran, J.-P., Frosini, M., Roth, R., Somà, V.
Předmět:
Zdroj: European Physical Journal A -- Hadrons & Nuclei; Jul2024, Vol. 60 Issue 7, p1-19, 19p
Abstrakt: 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 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 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 (χ EFT) interactions. Finally, the infinite nuclear matter incompressibility associated with the employed χ EFT interactions is extracted by extrapolating the finite-nucleus incompressibility computed from the monopole centroid energy. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index