Model-independent mass determination of near-threshold states from short-range production

Abstract

We propose a novel observable for the precision measurements of a wide class of near-threshold dimer states: the short-range production rate of a dimer--spectator two-body system, composed of the given near-threshold state and one of its constituents. Within the framework of nonrelativistic effective field theory, these production rates exhibit characteristic line shapes for the specific partial wave and reach a model-independent minimum. This feature enables a precise extraction of their masses from experimental data, provided that the line shape can be resolved with sufficient accuracy. Applying this novel method to both the $T_{b\bar{b}1}(10610)B$ and $T_{b\bar{b}1}(10650)B^{\ast }$ systems allows for a precise determination of the binding energy $\delta$ of the $T_{b\bar{b}1}(10610)$ and $T_{b\bar{b}1}(10650)$ via the relation of $\delta =-E_{\text{dip}}^{\text{exp}}/0.1983$ once the respective dip position $E_{\text{dip}}^{\text{exp}}$ is experimentally identified.

arXiv comment8 pages, 6 figures; updated to the accepted version

References in corpus (42)

• Hadronic molecules
• Universality in Few-body Systems with Large Scattering Length
• The $XYZ$ states: experimental and theoretical status and perspectives
• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Renormalization of the Three-Body System with Short-Range Interactions
• The Three-Boson System with Short-Range Interactions
• Nonrelativistic conformal field theories
• Effective Theory of the Triton
• Multiquark States
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• STCF Conceptual Design Report: Volume 1 -- Physics & Detector
• Born-Oppenheimer Approximation for the XYZ Mesons
• Nucleon-Deuteron Scattering from an Effective Field Theory
• Low Energy Expansion in the Three Body System to All Orders and the Triton Channel
• Production of the X(3872) at the Tevatron and the LHC
• Bound state nature of the exotic Z_b states
• Improving the Convergence of NN Effective Field Theory
• Conformal Invariance for Non-Relativistic Field Theory
• Efimov States in Nuclear and Particle Physics
• Confirming the molecular nature of the $Z_b(10610)$ and the $Z_b(10650)$
• Range Corrections to Doublet S-Wave Neutron-Deuteron Scattering
• Interplay of quark and meson degrees of freedom in near-threshold states: A practical parametrisation for line shapes
• X(3872) in the molecular model
• Novel Method for Precisely Measuring the $X(3872)$ Mass
• The line shapes of the $Z_b(10610)$ and $Z_b(10650)$ in the elastic and inelastic channels revisited
• A practical parametrization for line shapes of near-threshold states
• Fully Perturbative Calculation of $nd$ Scattering to Next-to-next-to-leading-order
• The three-body problem with short-range forces: renormalized equations and regulator-independent results
• Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order
• The three-boson system at next-to-leading order in an effective field theory for systems with a large scattering length
• Spin partners $W_{bJ}$ from the line shapes of the $Z_b(10610)$ and $Z_b(10650)$
• The X(3872) at CDF II
• Zb tetraquark channel from lattice QCD and Born-Oppenheimer approximation
• Unnuclear physics
• Production of exotic hadrons in $pp$ and nuclear collisions
• Insights into $Z_b(10610)$ and $Z_b(10650)$ from dipion transitions from ${\rm Y}(10860)$
• Renormalization of the three-boson system with short-range interactions revisited
• An alternative scheme for effective range corrections in pionless EFT
• Interpretation of neutral charm mesons near threshold as unparticles
• Point Production of a Nonrelativistic Unparticle Recoiling Against a Particle
• Prediction of an $I(J^P)=0(1^{-})$ $\bar{b}\bar{b}ud$ Tetraquark Resonance Close to the $B^{\ast }{B}^{\ast }$ Threshold Using Lattice QCD Potentials