Galilean-Invariant XEFT

Abstract

XEFT is a low-energy effective field theory for charm mesons and pions that provides a systematically improvable description of the X(3872) resonance. A Galilean-invariant formulation of XEFT is introduced to exploit the fact that mass is very nearly conserved in the transition D*0 --> D0 pi0. The transitions D*0 --> D0 pi0 and X --> D0 D0-bar pi0 are described explicitly in XEFT. The effects of the decay D*0 --> D0 gamma and of short-distance decay modes of the X(3872), such as J/psi --> pi+ pi-, can be taken into account by using complex on-shell renormalization schemes for the D*0 propagator and for the D*0 D0-bar propagator in which the positions of their complex poles are specified. Galilean-invariant XEFT is used to calculate the D*0 D0-bar scattering length to next-to-leading order. Galilean invariance ensures the cancellation of ultraviolet divergences without the need for truncating an expansion in powers of the ratio of the pion and charm meson masses.

31 pages, 11 figures

References in corpus (20)

• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Universality in Few-body Systems with Large Scattering Length
• A New Expansion for Nucleon-Nucleon Interactions
• Determination of the X(3872) meson quantum numbers
• Low-energy Universality and the New Charmonium Resonance at 3870 MeV
• Pion Interactions in the X(3872)
• Bounds on the width, mass difference and other properties of X(3872) --> pi+pi-J/psi decays
• Observation of a Near-threshold $D^0{\bar{D}}^0{\pi }^0$ Enhancement in $B\to D^0{\bar{D}}^0{\pi }^{0}K$ Decay
• A study of B->X(3872) K, with X(3872)->J/Psi pi+ pi-
• Hadronic Decays of the X(3872) to chi_{cJ} in Effective Field Theory
• A New Hadron Spectroscopy
• Scattering of an Ultrasoft Pion and the X(3872)
• Radiative Decays X(3872) -> psi(2S)+gamma and psi(4040) -> X(3872)+gamma in Effective Field Theory
• On the scattering of D and D* mesons off the X(3872)
• Measurement of the D*(2010)+ meson width and the D*(2010)+ - D0 mass difference
• The decay of the X(3872) into χ_{cJ} and the Operator Product Expansion in XEFT
• Light quark mass dependence of the X(3872) in XEFT
• Using the decay ψ(4160) -> X(3872) γ to probe the molecular content of the X(3872)
• Power counting for three-body decays of a near-threshold state

Cited by in corpus (34)

• Hadronic molecules
• The hidden-charm 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
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• $T_{cc}^{+}$ decays: Differential spectra and two-body final states
• Employing spin symmetry to disentangle different models for the XYZ states
• $D{D}^{\ast }$ potentials in chiral perturbation theory and possible molecular states
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Production of $X(3872)$ at High Multiplicity
• How to understand the $X(2900)$?
• Finite volume corrections to the binding energy of the X(3872)
• Triangle Singularity in the Production of $T_{cc}^{+}$(3875) and a Soft Pion
• Strong decays of $T_{cc}^{+}$ at NLO in an effective field theory
• Triangle singularity in the $B^{-}\to K^{-}{\pi }^{0}X(3872)$ reaction and sensitivity to the $X(3872)$ mass
• Charm-meson Triangle Singularity in $e^{+}{e}^{-}$ Annihilation into $D^{\ast 0}{\bar{D}}^0+\gamma$
• Triangle Singularity in the Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation
• Extracting free-space observables from trapped interacting clusters
• Triangle singularity in $B^{-}\to K^{-}X(3872);X\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and the X(3872) mass
• Production of $X(3872)$ Accompanied by a Pion in $B$ Meson Decay
• Weinberg's Compositeness
• Revisiting $X(3872)\to D^0{\bar{D}}^0{\pi }^0$ in XEFT
• Threshold Effects and the Line Shape of the X(3872) in Effective Field Theory
• Galilean-Invariant XEFT at Next-to-Leading Order
• Hadronic decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• The role of the pion in the lineshape of the $X(3872)$
• Poincaré invariance in NRQCD and pNRQCD revisited
• Production of $X(3872)$ Accompanied by a Soft Pion at Hadron Colliders
• Possible precise measurements of the $X(3872)$ mass with the $e^{+}{e}^{-}\to {\pi }^0\gamma X(3872)$ and $p\bar{p}\to \gamma X(3872)$ reactions
• Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation
• A short review on the compositeness of the $X(3872)$
• Chiral dynamics of S-wave baryon resonances
• A Study of Degenerate Two-Body and Three-Body Coupled-Channel Systems -Renormalized Effective AGS Equations and Near-Threshold Resonances-
• Branching Fractions of the $X(3872)$