[2104.05474] Cutoff effects in Hartree-Fock calculations at leading order of chiral effective field theory Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Nuclear Theory arXiv:2104.05474 (nucl-th) [Submitted on 12 Apr 2021 ( v1 ), last revised 16 Apr 2023 (this version, v3)] Title: Cutoff effects in Hartree-Fock calculations at leading order of chiral effective field theory Authors: M. Sánchez Sánchez , Dao Duy Duc , L. Bonneau View a PDF of the paper titled Cutoff effects in Hartree-Fock calculations at leading order of chiral effective field theory, by M. S\'anchez S\'anchez and 2 other authors View PDF HTML (experimental) Abstract: We explore the effects on nuclear bulk properties of using regularization cutoffs larger than the nucleon mass within the chiral effective field theory with a power counting that ensures order-by-order renormalization in the two-nucleon system. To do so we calculate ground-state properties of the $^{16}$O nucleus in the Hartree--Fock approach in a basis made up of plane waves confined in a cube. We find that regularization cutoff effects manifest themselves in two distinct ways: a strong sensitivity to the the counter-terms in attractive singular partial waves (related to the sign of the corresponding low-energy constant) and to the correction for spurious deeply bound states (for high enough cutoffs). In fact the latter happens to deprive the Hartree--Fock approximation of yielding bound solutions in nuclei. We conclude that, when using a leading-order chiral potential in the Nogga--Timmermans--van Kolck's power counting (with a regularization cutoff higher than the nucleon mass), one cannot produce a selfconsistent mean field free of spurious bound-state effects that can serve as a reference state for beyond-mean-field methods. For high regularization cutoffs which yield an attractive $^3S_1$ contact potential, one can at best incorporate in the mean-field solution a partial correction for spurious bound states. Then the remaining correction has to be added to the residual interaction in a treatment beyond the Hartree--Fock approximation. In fact a ``full'' correction in the $^3D_2$ channel, with energy shifts of the order of or somewhat larger than those recommended in Phys. Rev. C 103, 054304 (2021), is possible. Comments: Resubmitted to Physical Review C. Thoroughly revised version Subjects: Nuclear Theory (nucl-th) Cite as: arXiv:2104.05474 [nucl-th] (or arXiv:2104.05474v3 [nucl-th] for this version) https://doi.org/10.48550/arXiv.2104.05474 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. C 107, 064307 (2023) Related DOI : https://doi.org/10.1103/PhysRevC.107.064307 Focus to learn more DOI(s) linking to related resources Submission history From: Ludovic Bonneau M [ view email ] [v1] Mon, 12 Apr 2021 13:50:08 UTC (260 KB) [v2] Fri, 10 Dec 2021 17:26:25 UTC (73 KB) [v3] Sun, 16 Apr 2023 13:04:40 UTC (291 KB) Full-text links: Access Paper: View a PDF of the paper titled Cutoff effects in Hartree-Fock calculations at leading order of chiral effective field theory, by M. S\'anchez S\'anchez and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: nucl-th < prev | next > new | recent | 2021-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... 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