Evidence for X(3872) from DD* scattering on the lattice - INSPIRE

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Evidence for X(3872) from DD* scattering on the lattice

Sasa Prelovsek
(
- Ljubljana U. and
- Stefan Inst., Ljubljana
)
,
Luka Leskovec
(
- Stefan Inst., Ljubljana
)

Jul 19, 2013

5 pages

Published in:

Phys.Rev.Lett. 111 (2013) 192001

Published: Nov 6, 2013

e-Print:

1307.5172 [hep-lat]

DOI:

10.1103/PhysRevLett.111.192001

View in:

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Abstract: (APS)

A candidate for the charmonium(like) state X(3872) is found 11±7 MeV below the DD¯* threshold using dynamical Nf=2 lattice simulation with JPC=1++ and I=0. This is the first lattice simulation that establishes a candidate for X(3872) in addition to the nearby scattering states DD¯* and J/ψω, which inevitably have to be present in dynamical QCD. We extract large and negative DD¯* scattering length a0DD*=-1.7±0.4 fm and the effective range r0DD*=0.5±0.1 fm, but their reliable determination will have to wait for a simulation on a larger volume. In I=1 channel, only the DD¯* and J/ψρ scattering states are found and no candidate for X(3872). This is in agreement with the interpretation that X(3872) is dominantly I=0, while its small I=1 component arises solely from the isospin breaking and is therefore absent in our simulation with mu=md.

Note:

5 pages, 2 pages of supplemental material, 2 figures, version to be published in Phys.Rev.Lett

12.38.Gc
11.15.Ha
13.25.Gv
14.40.Pq
X(3872)
scattering
J/psi(3100)
quantum chromodynamics: lattice
scattering length
effective range

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Figures(3)

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