Hadronic loops versus factorization in effective field theory calculations of X (3872) →χcJπ0
We compare two existing approaches to calculating the decay of molecular quarkonium states to conventional quarkonia in effective field theory, using X(3872)→χcJπ0 as an example. In one approach the decay of the molecular quarkonium proceeds through a triangle diagram with charmed mesons in the loop. We argue this approach predicts excessively large rates for Γ[X(3872)→χcJπ0] unless both charged and neutral mesons are included and a cancellation between these contributions is arranged to suppress the decay rates. This cancellation occurs naturally if the X(3872) is primarily in the I=0 DD¯∗+c.c scattering channel. The factorization approach to molecular decays calculates the rates in terms of tree-level transitions for the D mesons in the X(3872) to the final state, multiplied by unknown matrix elements. We show that this approach is equivalent to the hadronic loops approach if the cutoff on the loop integrations is taken to be a few hundred MeV or smaller, as is appropriate when the charged D mesons have been integrated out of the effective theory.
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- Nuclear & Particles Physics
- 5107 Particle and high energy physics
- 5101 Astronomical sciences
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
- 0201 Astronomical and Space Sciences
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Published In
DOI
EISSN
ISSN
Publication Date
Volume
Issue
Related Subject Headings
- Nuclear & Particles Physics
- 5107 Particle and high energy physics
- 5101 Astronomical sciences
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
- 0201 Astronomical and Space Sciences