Weakly-bound hadronic molecule near a 3-body threshold

Eric Braaten, Meng Lu, Jungil Lee

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

The X(3872) seems to be a loosely-bound hadronic molecule whose constituents are two charm mesons. A novel feature of this molecule is that the mass difference of the constituents is close to the mass of a lighter meson that can be exchanged between them, namely, the pion. We analyze this feature in a simple model with spin-0 mesons only. Various observables are calculated to next-to-leading order in the interaction strength of the exchanged meson. Renormalization requires summing a geometric series of next-to-leading order corrections. The dependence of observables on the ultraviolet cutoff can be removed by renormalizations of the mass of the heaviest meson, the coupling constant for the contact interaction between the heavy mesons, and short-distance coefficients in the operator product expansion. The next-to-leading order correction has an unphysical infrared divergence at the threshold of the two heavier mesons that can be eliminated by a further resummation that takes into account the nonzero width of the heaviest meson.

Original languageEnglish
Article number054010
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume76
Issue number5
DOIs
Publication statusPublished - 2007 Sep 28

Fingerprint

Mesons
mesons
Molecules
thresholds
molecules
Renormalization
Geometric series
Interaction
Ultraviolet
electric contacts
Divergence
divergence
pions
Infrared
cut-off
interactions
Contact
operators
expansion
Coefficient

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Weakly-bound hadronic molecule near a 3-body threshold. / Braaten, Eric; Lu, Meng; Lee, Jungil.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 76, No. 5, 054010, 28.09.2007.

Research output: Contribution to journalArticle

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