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 DD bound states are calculated. The states X(3872), X2c(4013), Z b (10610)/X b and Z b (10650)/X b2 are compared with DD dimesonic bound states. 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/ψγ and ψ(2S)γ 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. PACS. Potential model-12.39.Pn -Exotic mesons-14.40.Rt -decays of other mesons-13.25.Jx IntroductionIn 2003, Belle reported the discovery of a charmonium like neutral state X(3872) with mass=3872 ± 0.6 ± 0.5 MeV and width < 2.3 MeV [1,2] which latter confirmed by DO [3], CDF [4] and BARBAR [5]. This discovery fed excitement in the charmonium spectroscopy due to unconventional properties. The state could not be explained through ordinary meson(qq) and baryon (qqq) scheme, yet. Indeed, the conventional theories predicts complicated color neutral structures and search of such exotic structures are as old as quark model [6,7]. After the discovery of X(3872), the large numbers of charge, neutral and vector states have been detected in various experiments and famous as the XYZ states. Recently, the charge bottomoniumlike resonances Z b (10610) and Z b (10650) have been reported by Belle Collaboration in the process Υ (5S) → Υ (nS)π + π − and Υ (5S) → h b (mP )π + π − [8]. Moreover, a another state reported by BESIII Collaboration [9] as a Z c (4025) in the e + e − → h c π + π − reaction. Again, the BESIII Collaboration reported one more state as a Z c (3900) from invariant mass J/ψπ in the e + e − → π − π + J/ψ reaction [10], whereas the Belle [11] and CLEO [12] reconfirmed the status of these states. The sub structure of the all these states are still a open question. They might driven the exotic structure like tetraquark, molecular or hybrid as predicted by theory of the QCD and needs extra theoretical attentions.Send offprint requests to: a Present address:

Interaction and Identification of the Di-Hadronic Molecules

“…Exceptionally, the state X(3872) is needed very fine tuning of parameters to get empirical binding energy. Therefor, the state X(3872) has seemed to driven dominant molecular structure rather a pure molecule, similar results was found in our previous study [69]. Moreover, we have predicted spin-2 charm partner of X(3872) as a X 2c (4013).…”

Pentaquark and Tetraquark states

“…In Ref. [330], the mass spectra for the heavy meson-antimeson bound states were discussed with the Hellmann plus one-pion-exchange potential. The results indicate that the X(3872) is not a pure molecule.…”

Mass Spectra of Di-baronic Systems in Charm sector

“…e ) and the additional screen Yukawa-like potential introduced as 8) In the variational scheme, we have used the Hydrogenic trial wave function, namely…”

“…Apart from deuteron, we are still searching other strong hadronic molecular candidate. There are large numbers of the hadronic molecules have been predicted in the various theoretical approaches in which H-dibaryon (in strange sector) is the most promising candidate with deep binding [1][2][3][4][5][6][7][8][9][10][11]. In this work, we have presented mass spectra of the possible Σ c − Σ c and Σ c − Σ c as di-hadron molecule.…”