Light Fermion Finite Mass Effects in Non-relativistic Bound States

Abstract

We present analytic expressions for the vacuum polarization effects due to a light fermion with finite mass in the binding energy and in the wave function at the origin of QED and (weak coupling) QCD non-relativistic bound states. Applications to exotic atoms, Υ(1s) and t\bar{t} production near threshold are briefly discussed.

12 pages, 3 figures

References in corpus (2)

• Potential NRQCD: an effective theory for heavy quarkonium
• On the Lifetime of the pi+pi- Atom

Cited by in corpus (60)

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• Spectroscopy and Regge trajectories of heavy quarkonia and B_c mesons
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• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• Ground-state energy of pionic hydrogen to one loop
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Model-independent Study of Magnetic Dipole Transitions in Quarkonium
• Heavy Quarkonium Spectrum at $\mathcal{O}({\alpha }_s^5{m}_q)$ and Bottom/Top Quark Mass Determination
• Quarkonium spectroscopy and perturbative QCD: massive quark-loop effects
• Decays of the pi+ pi- atom
• Nucleon Axial Radius and Muonic Hydrogen - A New Analysis and Review
• The bottom-quark mass from non-relativistic sum rules at NNNLO
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Pionic deuterium
• Hadronic shift in pionic hydrogen
• Non-relativistic bound states at finite temperature (II): the muonic hydrogen
• Bottom and Charm Mass determinations from global fits to $Q\bar{Q}$ bound states at N${}^3$LO
• The pion-nucleon scattering lengths from pionic deuterium
• Relativistic recoil corrections to the electron-vacuum-polarization contribution in light muonic atoms
• Decay widths and energy shifts of pi pi and pi K atoms
• Heavy quark potential in the static limit of QCD
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• Bottom Quark Mass from ${\rm Y}$ Sum Rules to $\mathcal{O}({\alpha }_s^3)$
• Model-independent Study of Electric Dipole Transitions in Quarkonium
• Second-order corrections to the wave function at origin in muonic hydrogen and pionium
• REvolver: Automated running and matching of couplings and masses in QCD
• Electromagnetic Corrections to Charged Pion Scattering at Low Energies
• Spectra and decays of pi pi and pi K atoms
• Partial wave analysis of pbar-p to Lambdabar-Lambda
• A phenomenological negatively charged pion-proton scattering length from pionic hydrogen
• Strong coupling constant and quark masses from lattice QCD
• Review on the determination of alpha_s from the QCD static energy
• Vacuum polarization in muonic atoms: the Lamb shift at low and medium Z
• Vacuum polarization in muonic and antiprotonic atoms: the fine structure at medium Z
• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• Hadronic Atoms
• Calculations of binding energies and masses of heavy quarkonia using renormalon cancellation
• A brief history of the pion-nucleon coupling constant
• Hadronic potentials from effective field theories
• Heavy quark mass determination from the quarkonium ground state energy: a pole mass approach
• An update of muon capture on hydrogen
• The Uehling correction to the energy levels in a pionic atom
• Charm-quark mass effects in NRQCD matching coefficients and the leptonic decay of the ${\rm Y}(1S)$ meson
• Breit Hamiltonian and QED Effects for Spinless Particles
• Relativistic recoil effects for energy levels in a muonic atom within a Grotch-type approach: An application to the one-loop electronic vacuum polarization
• Energy and decay width of the pi-K atom
• Ordinary Muon Capture in Hydrogen Reexamined
• A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen
• Spectrum and decays of hadronic atoms
• Kaonic atoms in QCD
• Momentum Representation of Coulomb Wave Functions and Level Shifts in Bottomonium due to Charm Effects
• The Uehling correction in muonic atoms exactly in Zα
• Charm mass corrections to the bottomonium mass spectrum
• Electromagnetic corrections to ${\pi }^{-}$p scattering length from pionic hydrogen
• Bottom and Charm Quark Mass Determination from Quarkonium at N${}^3$LO
• Determination of the b-mass using renormalon cancellation