New Types of Hydrogenlike matter Composed of Electron(s) and Meson(s)

Abstract

In the present work, we predict the existence of new types of hydrogenlike matter, including hydrogenlike atoms (${\pi }^{+}{e}^{-}$, $K^{+}{e}^{-}$, $D^{+}{e}^{-}$), hydrogenlike molecular ions (${\pi }^{+}{\pi }^{+}{e}^{-}$, $K^{+}{K}^{+}{e}^{-}$, $D^{+}{D}^{+}{e}^{-}$) and hydrogenlike molecules (${\pi }^{+}{\pi }^{+}{e}^{-}{e}^{-}$, $K^{+}{K}^{+}{e}^{-}{e}^{-}$, $D^{+}{D}^{+}{e}^{-}{e}^{-}$). By solving the Schrödinger equation, the binding energy of hydrogenlike atoms is obtained as $E_n=-\frac{1}{2n^2}$. For hydrogenlike molecular ions and molecules, the variational method is employed to calculate the binding energies, i.e., $E_{+}=-0.587$ and $E_0=-1.139$ for hydrogenlike molecular ions and molecules, respectively. And the bond lengths for hydrogenlike molecular ions and molecules are also calculated, whose values are $2.003$ and $1.414$, respectively. Here all the quantities are in atomic units for convenience. In addition, the strong interaction between the two constituent mesons is considered in our calculations, where we find that its influence on the hydrogenlike molecular ions and molecules can be neglected. Comparisons of hydrogenlike molecular ion and molecule with the systems governed by the strong interaction are made, which suggests the possible existence of doubly heavy triquark, hidden heavy-flavor tetraquarks and doubly heavy tetraquarks. Hopefully, these types of matter would be observed in the future with the improvement of accuracy in the high energy physical experiments.

arXiv comment8 pages, 5 figures

References in corpus (33)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• The $XYZ$ states: experimental and theoretical status and perspectives
• Multiquark Resonances
• Pentaquark and Tetraquark states
• Heavy-Quark QCD Exotica
• Exotics: Heavy Pentaquarks and Tetraquarks
• An updated review of the new hadron states
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Strangeness in nuclear physics
• Exotic Hadrons with Heavy Flavors -X, Y, Z and Related States-
• In-medium nuclear interactions of low-energy hadrons
• Threshold cusps and triangle singularities in hadronic reactions
• Multiquark States
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• A survey of heavy-heavy hadronic molecules
• STCF Conceptual Design Report: Volume 1 -- Physics & Detector
• Charming penguins in B => K* pi, K (rho,omega,phi) decays
• Exotic hadrons: review and perspectives
• Tetra- and penta-quark structures in the constituent quark model
• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• A New Hadron Spectroscopy
• Stability of Few-Charge Systems in Quantum Mechanics
• Radiative Heavy Meson Transitions
• Stability of the Hydrogen and Hydrogen-like Molecules
• Exotic Hadrons at LHCb
• Physics Accomplishments and Future Prospects of the BES Experiments at the BEPC Collider
• Proof that the Hydrogen-antihydrogen Molecule is Unstable
• New type of hydrogenlike charm-pion or charm-kaon matter
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• Trilepton and tetralepton bound and resonant states: the QED counterpart of multiquark states
• Stability of three-and four-charge systems
• The 4-particle hydrogen-antihydrogen system revisited: twofold Hamiltonian symmetry and natural atom antihydrogen