{"abstract":[{"lang":"eng","text":"Even though the one-dimensional contact interaction requires no regularization, renormalization methods have been shown to improve the convergence of numerical calculations considerably. In this work, we compare and contrast these methods: “the running coupling constant” where the two-body ground-state energy is used as a renormalization condition, and two effective interaction approaches that include information about the ground as well as excited states. In particular, we calculate the energies and densities of few-fermion systems in a harmonic oscillator with the configuration-interaction method and compare the results based upon renormalized and bare interactions. We find that the use of the running coupling constant instead of the bare interaction improves convergence significantly. A comparison with an effective interaction, which is designed to reproduce the relative part of the energy spectrum of two particles, showed a similar improvement. The effective interaction provides an additional improvement if the center-of-mass excitations are included in the construction. Finally, we discuss the transformation of observables alongside the renormalization of the potential, and demonstrate that this might be an essential ingredient for accurate numerical calculations."}],"scopus_import":"1","department":[{"_id":"MiLe"}],"quality_controlled":"1","article_processing_charge":"No","publisher":"American Physical Society","year":"2025","external_id":{"arxiv":["2408.10052"]},"doi":"10.1103/PhysRevA.111.013303","date_updated":"2025-01-14T07:08:28Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_number":"013303","publication_status":"published","day":"03","_id":"18821","month":"01","oa_version":"Preprint","status":"public","title":"Comparison of renormalized interactions using one-dimensional few-body systems as a testbed","type":"journal_article","main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2408.10052"}],"publication_identifier":{"issn":["2469-9926"],"eissn":["2469-9934"]},"volume":111,"date_created":"2025-01-12T23:04:00Z","citation":{"ama":"Brauneis F, Hammer HW, Reimann SM, Volosniev A. Comparison of renormalized interactions using one-dimensional few-body systems as a testbed. <i>Physical Review A</i>. 2025;111(1). doi:<a href=\"https://doi.org/10.1103/PhysRevA.111.013303\">10.1103/PhysRevA.111.013303</a>","apa":"Brauneis, F., Hammer, H. W., Reimann, S. M., &#38; Volosniev, A. (2025). Comparison of renormalized interactions using one-dimensional few-body systems as a testbed. <i>Physical Review A</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.111.013303\">https://doi.org/10.1103/PhysRevA.111.013303</a>","mla":"Brauneis, Fabian, et al. “Comparison of Renormalized Interactions Using One-Dimensional Few-Body Systems as a Testbed.” <i>Physical Review A</i>, vol. 111, no. 1, 013303, American Physical Society, 2025, doi:<a href=\"https://doi.org/10.1103/PhysRevA.111.013303\">10.1103/PhysRevA.111.013303</a>.","short":"F. Brauneis, H.W. Hammer, S.M. Reimann, A. Volosniev, Physical Review A 111 (2025).","ieee":"F. Brauneis, H. W. Hammer, S. M. Reimann, and A. Volosniev, “Comparison of renormalized interactions using one-dimensional few-body systems as a testbed,” <i>Physical Review A</i>, vol. 111, no. 1. American Physical Society, 2025.","ista":"Brauneis F, Hammer HW, Reimann SM, Volosniev A. 2025. Comparison of renormalized interactions using one-dimensional few-body systems as a testbed. Physical Review A. 111(1), 013303.","chicago":"Brauneis, Fabian, Hans Werner Hammer, Stephanie M. Reimann, and Artem Volosniev. “Comparison of Renormalized Interactions Using One-Dimensional Few-Body Systems as a Testbed.” <i>Physical Review A</i>. American Physical Society, 2025. <a href=\"https://doi.org/10.1103/PhysRevA.111.013303\">https://doi.org/10.1103/PhysRevA.111.013303</a>."},"arxiv":1,"date_published":"2025-01-03T00:00:00Z","oa":1,"OA_type":"green","intvolume":"       111","publication":"Physical Review A","language":[{"iso":"eng"}],"issue":"1","author":[{"last_name":"Brauneis","first_name":"Fabian","full_name":"Brauneis, Fabian"},{"first_name":"Hans Werner","full_name":"Hammer, Hans Werner","last_name":"Hammer"},{"full_name":"Reimann, Stephanie M.","first_name":"Stephanie M.","last_name":"Reimann"},{"id":"37D278BC-F248-11E8-B48F-1D18A9856A87","last_name":"Volosniev","full_name":"Volosniev, Artem","first_name":"Artem","orcid":"0000-0003-0393-5525"}],"acknowledgement":"We thank J. Cremon and J. Bjerlin for earlier contributions to the configuration-interaction calculations used in this work (see Refs. [49,50]). F.B. and S.M.R. acknowledge helpful discussions with Carl Heintze, Sandra Brandstetter, and Lila Chergui. We further want to thank Lila Chergui for helpful comments on the paper. This research was financially supported by the Knut and Alice Wallenberg Foundation (Grant No. KAW 2018.0217) and the Swedish Research Council (Grant No. 2022-03654 VR).","OA_place":"repository","article_type":"original"}