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

Abstract

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 (XEFT). 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 box length as large as 20 fm.

arXiv comment23 pages, 9 figures, REVTeX

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• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• The $XYZ$ states: experimental and theoretical status and perspectives
• Pentaquark and Tetraquark states
• Nuclear effective field theory: status and perspectives
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Three-body Unitarity in the Finite Volume
• Three-body spectrum in a finite volume: the role of cubic symmetry
• Towards a theory of hadron resonances
• Three pion spectrum in the $I=3$ channel from lattice QCD
• Three-body unitarity versus finite-volume ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ spectrum from lattice QCD
• $T_{cc}^{+}$ decays: Differential spectra and two-body final states
• Heavy-quark spin symmetry partners of the $X(3872)$ revisited
• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• $D{D}^{\ast }$ potentials in chiral perturbation theory and possible molecular states
• X(3872) in the molecular model
• Three-body interactions from the finite-volume QCD spectrum
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Relativistic-invariant formulation of the NREFT three-particle quantization condition
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Three-particle bound states in a finite volume: unequal masses and higher partial waves
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• Strong decays of $T_{cc}^{+}$ at NLO in an effective field theory
• Three-body resonances in the ${\phi }^4$ theory
• Two-particle scattering from finite-volume quantization conditions using the plane wave basis
• Revisiting $X(3872)\to D^0{\bar{D}}^0{\pi }^0$ in XEFT
• Hadronic decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• Finite-volume energy shift of the three-nucleon ground state
• Spurious poles in a finite volume