Hadronic decays of the X(3872) to χcJ in effective field theory

Sean P Fleming, Thomas Mehen

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

The decays of the X(3872) to P-wave quarkonia are calculated under the assumption that it is a shallow bound state of neutral charmed mesons. The X(3872) is described using an effective theory of nonrelativistic D mesons and pions (X-EFT). We calculate X(3872) decays by first matching heavy hadron chiral perturbation theory (HHχPT) amplitudes for D0D̄ *0→χcJ(π0,ππ) onto local operators in X-EFT, and then using these operators to calculate the X(3872) decays. This procedure reproduces the factorization theorems for X(3872) decays to conventional quarkonia previously derived using the operator product expansion. For single pion decays, we find nontrivial dependence on the pion energy from HHχPT diagrams with virtual D mesons. This nontrivial energy dependence can potentially modify heavy-quark symmetry predictions for the relative sizes of decay rates. At leading order, decays to final states with two pions are dominated by the final state χc1π0π0, with a branching fraction just below that for the decay to χc1π0. Decays to all other final states with two pions are highly suppressed.

Original languageEnglish (US)
Article number094019
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume78
Issue number9
DOIs
StatePublished - Nov 20 2008

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decay
pions
mesons
operators
perturbation theory
P waves
factorization
decay rates
theorems
diagrams
quarks
expansion
energy
symmetry
products
predictions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Hadronic decays of the X(3872) to χcJ in effective field theory. / Fleming, Sean P; Mehen, Thomas.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 78, No. 9, 094019, 20.11.2008.

Research output: Contribution to journalArticle

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AB - The decays of the X(3872) to P-wave quarkonia are calculated under the assumption that it is a shallow bound state of neutral charmed mesons. The X(3872) is described using an effective theory of nonrelativistic D mesons and pions (X-EFT). We calculate X(3872) decays by first matching heavy hadron chiral perturbation theory (HHχPT) amplitudes for D0D̄ *0→χcJ(π0,ππ) onto local operators in X-EFT, and then using these operators to calculate the X(3872) decays. This procedure reproduces the factorization theorems for X(3872) decays to conventional quarkonia previously derived using the operator product expansion. For single pion decays, we find nontrivial dependence on the pion energy from HHχPT diagrams with virtual D mesons. This nontrivial energy dependence can potentially modify heavy-quark symmetry predictions for the relative sizes of decay rates. At leading order, decays to final states with two pions are dominated by the final state χc1π0π0, with a branching fraction just below that for the decay to χc1π0. Decays to all other final states with two pions are highly suppressed.

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