Dimesonic states with the heavy-light flavour mesons

Abstract

In this work, we have calculated the mass spectra and decay properties of dimesonic states in the variational scheme. The inter-mesonic interaction considered as the Hellmann potential and One Pion Exchange potential. The mass spectra of the $D\overline{D^{\ast }}$, $D^{\ast }\overline{D^{\ast }}$, $D\overline{B^{\ast }}$, $B^{\ast }\overline{D}$, $B\overline{B^{\ast }}$, $B^{\ast }\overline{B^{\ast }}$ bound states are calculated. The states X(3872), $X_{2c}(4013)$, $Z_b(10610)/X_b$ and $Z_b(10650)/X_{b2}$ are compared with $D\overline{D^{\ast }}$, $D^{\ast }\overline{D^{\ast }}$, $B\overline{B^{\ast }}$ and $B^{\ast }\overline{B^{\ast }}$ dimesonic bound states. {\bf To probe the molecular structure of the compared states, we have calculated the decay properties sensitive to their long and short distance structure of the hadronic molecule. The radiative decay for the state X(3872) into $J/\psi \gamma$ and $\psi (2S)\gamma$ have been calculated and the ratio is found to be ten times lesser than the experimental value whereas the other decay modes are comparable with other theoretical and experimental results. This results restrict us to assigned the pure molecular structure to the X(3872). But, Our results suggests that the compared states are close to the molecular structure or have dominant molecular component in their wave function. Apart from these, the other calculated mass spectra of dimesonic states are predicted and for such bound states, the experimental search are suggested.}

20 pages, 4 Tables, 3 figures accepted for publication in EPJ Plus

References in corpus (24)

• Big-Bang Nucleosynthesis
• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• Pion Interactions in the X(3872)
• Is X(3872) {\sl Really} a Molecular State?
• Is X(3872) a molecule?
• Nonperturbative determination of the QCD potential at O(1/m)
• Estimate for the X(3872) to gamma J/psi decay width
• X(3872) as a hadronic molecule and its decays to charmonium states and pions
• Mass spectra and Regge trajectories of ${\Lambda }_c^{+}$, ${\Sigma }_c^0$, ${\Xi }_c^0$ and ${\Omega }_c^0$ Baryons
• Excited State Mass spectra of doubly heavy baryons ${\Omega }_{cc}$, ${\Omega }_{bb}$ and ${\Omega }_{bc}$
• Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials
• What can radiative decays of the X(3872) teach us about its nature?
• Dynamics of Hadronic Molecule in One-Boson Exchange Approach and Possible Heavy Flavor Molecules
• Quarkonium Contribution to Meson Molecules
• Possible Molecular States of $D_s^{\ast }{\bar{D}}_s^{\ast }$ System and Y(4140)
• Study of $B{\bar{B}}^{\ast }$ and $B^{\ast }{\bar{B}}^{\ast }$ interactions in $I=1$ and relationship to the $Z_b(10610)$, $Z_b(10650)$ states
• General considerations on the nature of $Z_b(10610)$ and $Z_b(10650)$ from their pole positions
• Detecting the long-distance structure of the X(3872)
• Radiative E1 decays of X(3872)
• Multiquark states as di-hadronic molecules
• Weakly-bound Hadronic Molecule near a 3-body Threshold
• X(3872) as a 1D2 charmonium state
• The $c\bar{c}$ interaction above threshold and the radiative decay $X(3872)\to J/\psi \gamma$
• Tetraquark states in the bottom sector and the status of the $Y_b$(10890) state

Cited by in corpus (8)

• Pentaquark and Tetraquark states
• Spectroscopy of all charm tetraquark states
• Mass-Spectroscopy of hidden charm and hidden strange tetraquarks in diquark-antidiquark approach
• Probing the nature of the ${\chi }_{c1}(3872)$ state using radiative decays
• The nature of ${\chi }_{c1}\left(3872\right)$ and $T_{cc}^{+}\left(3875\right)$
• Bottomonium spectroscopy motivated by general features of pNRQCD
• Interaction and Identification of the Meson-Baryon molecules
• Mass-Spectroscopy of [$bb][\bar{b}\bar{b}$] and [$bq][\bar{b}\bar{q}$] tetraquark states in a diquark-antidiquark formalism