Mass spectra of the dimesonic (mesonantimeson) molecular states are computed using the Hellmann potential in a variational approach, which consists of a relativistic correction to the kinetic energy term as well as to the potential energy term. For the study of a molecular bound state system, the Hellmann potential, of the form V (r ) = − α s r + Be −Cr

Abstract. We discuss the theoretical predictions of some di-mesonic (meson-anti meson) states and compare with some prominent experimental candidates. The masses of several di-mesonic states are computed in semi relativistic approach. The two photon decay width is calculated using the wave function at the origin. The states such as f 0 (980), a 0 (980),

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:

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