Four-body scale in universal few-boson systems

B. Bazak, J. Kirscher, S. König, M. Pavón Valderrama, N. Barnea, Ubirajara Van Kolck

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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- A nd 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 NA-3 LO. As a specific example, calculations are presented for clusters of helium atoms. 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.

Original languageEnglish (US)
Article number143001
JournalPhysical review letters
Volume122
Issue number14
DOIs
StatePublished - Apr 10 2019

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bosons
binding energy
helium atoms
halos
wave functions
nuclei
scattering
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Bazak, B., Kirscher, J., König, S., Valderrama, M. P., Barnea, N., & Van Kolck, U. (2019). Four-body scale in universal few-boson systems. Physical review letters, 122(14), [143001]. https://doi.org/10.1103/PhysRevLett.122.143001

Four-body scale in universal few-boson systems. / Bazak, B.; Kirscher, J.; König, S.; Valderrama, M. Pavón; Barnea, N.; Van Kolck, Ubirajara.

In: Physical review letters, Vol. 122, No. 14, 143001, 10.04.2019.

Research output: Contribution to journalArticle

Bazak, B, Kirscher, J, König, S, Valderrama, MP, Barnea, N & Van Kolck, U 2019, 'Four-body scale in universal few-boson systems', Physical review letters, vol. 122, no. 14, 143001. https://doi.org/10.1103/PhysRevLett.122.143001
Bazak B, Kirscher J, König S, Valderrama MP, Barnea N, Van Kolck U. Four-body scale in universal few-boson systems. Physical review letters. 2019 Apr 10;122(14). 143001. https://doi.org/10.1103/PhysRevLett.122.143001
Bazak, B. ; Kirscher, J. ; König, S. ; Valderrama, M. Pavón ; Barnea, N. ; Van Kolck, Ubirajara. / Four-body scale in universal few-boson systems. In: Physical review letters. 2019 ; Vol. 122, No. 14.
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