4.7 Article

Finite volume corrections to the binding energy of the X(3872)

期刊

PHYSICAL REVIEW D
卷 92, 期 11, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.92.114031

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资金

  1. Helmholtz Association [HA216/EMMI]
  2. National Natural Science Foundation of China [11261130311, 11475188]
  3. DFG [CRC110]
  4. NSFC [CRC110]

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The quark mass dependence of hadrons is an important input for lattice calculations. We investigate the light quark mass dependence of the binding energy of the X(3872) in a finite box to next-to-leading order in an effective field theory for the X(3872) with perturbative pions. At this order, the quark mass dependence is determined by a quark-mass-dependent contact interaction in addition to the one-pion exchange. While there is only a moderate sensitivity to the light quark masses in the region up to twice their physical value, the finite-volume effects are significant already at a box length as large as 20 fm.

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