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Multi-fermion systems with contact theories
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SYSNO ASEP 0542747 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Multi-fermion systems with contact theories Author(s) Schäfer, Martin (UJF-V) ORCID, RID
Contessi, L. (IL)
Kirscher, J. (PL)
Mareš, Jiří (UJF-V) RID, ORCIDNumber of authors 4 Article number 136194 Source Title Physics Letters. B. - : Elsevier - ISSN 0370-2693
Roč. 816, MAY (2021)Number of pages 5 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords contact effective field theory ; pionless ; renormalization ; unitarity ; universality Subject RIV BE - Theoretical Physics OECD category Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect) R&D Projects GA19-19640S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support UJF-V - RVO:61389005 UT WOS 000647421500004 EID SCOPUS 85102656621 DOI 10.1016/j.physletb.2021.136194 Annotation We address the question of minimal requirements for the existence of quantum bound states. In particular, we demonstrate that a few-body system with zero-range momentum-independent two-body interactions is unstable against decay into clusters, if mixed-symmetry of its wave function is enforced. We claim that any theory in which the two-body scattering length is much larger than any other scale involved exhibits such instability. We exemplify this with the inability of the leading-order pionless effective field theory to describe stable states of A > 4 nuclei. A finite interaction range is identified as a sufficient condition for a bound mixed-symmetry system. The minimal value of this range depends on the proximity of a system to unitarity, on the number of constituents, and on the particular realization of discrete scale invariance of the three-body spectrum. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2022 Electronic address https://doi.org/10.1016/j.physletb.2021.136194
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