Ab initio description of monopole resonances in light- and medium-mass nuclei: III. Moments evaluation in ab initio PGCM calculations
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arXiv
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| Format: | Preprint |
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2024
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| author | Porro, Andrea Duguet, Thomas Ebran, Jean-Paul Frosini, Mikael Roth, Robert Somà, Vittorio |
| author_facet | Porro, Andrea Duguet, Thomas Ebran, Jean-Paul Frosini, Mikael Roth, Robert Somà, Vittorio |
| contents | 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 exhaustion of 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14154 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ab initio description of monopole resonances in light- and medium-mass nuclei: III. Moments evaluation in ab initio PGCM calculations Porro, Andrea Duguet, Thomas Ebran, Jean-Paul Frosini, Mikael Roth, Robert Somà, Vittorio Nuclear Theory 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 exhaustion of 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. |
| title | Ab initio description of monopole resonances in light- and medium-mass nuclei: III. Moments evaluation in ab initio PGCM calculations |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2404.14154 |