Four-Body Scale in Universal Few-Boson Systems

Bazak, B.; Kirscher, J.; König, S.; Valderrama, M. Pavón; Barnea, N.; van Kolck, U.

doi:10.1103/physrevlett.122.143001

Title: Four-Body Scale in Universal Few-Boson Systems

Journal Article · Wed Apr 10 00:00:00 EDT 2019 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.122.143001· OSTI ID:1609538

Bazak, B. ^[1]; Kirscher, J. ^[2]; König, S. ^[3]; Valderrama, M. Pavón ^[4]; Barnea, N. ^[1]; van Kolck, U. ^[5]

Hebrew Univ., Jerusalem (Israel)
City College of New York, NY (United States); Univ. of Manchester (United Kingdom)
Technische Univ. Darmstadt (Germany); GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt (Germany)
Beihang Univ., Beijing (China)
Univ. Paris-Saclay, Orsay (France); Univ. of Arizona, Tucson, AZ (United States)

The role of an intrinsic four-body scale in universal few-boson systems is the subject of active debate. We study these systems within the framework of effective field theory. For systems of up to six bosons we establish that no four-body scale appears at leading order (LO). However, we find that at next-to-leading order (NLO) a four-body force is needed to obtain renormalized results for binding energies. With the associated parameter fixed to the binding energy of the four-boson system, this force is shown to renormalize the five- and six-body systems as well. We present an original ansatz for the short-distance limit of the bosonic A-body wave function from which we conjecture that new A-body scales appear at N^A–3 LO. As a specific example, calculations are presented for clusters of helium atoms. Furthermore, our results apply more generally to other few-body systems governed by a large scattering length, such as light nuclei and halo states, the low-energy properties of which are independent of the detailed internal structure of the constituents.

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Research Organization:: Univ. of Arizona, Tucson, AZ (United States); The Ohio State Univ., Columbus, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); ERC; National Natural Science Foundation of China (NSFC); Israel Science Foundation

Grant/Contract Number:: FG02-04ER41338; SC0008533; PHY15-15738; PHY–1614460; 307986; 1173500311522539

OSTI ID:: 1609538

Alternate ID(s):: OSTI ID: 1506544

Journal Information:: Physical Review Letters, Vol. 122, Issue 14; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 30 works

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