The mass spectra and decay properties of dimesonic states, using the Hellmann potential

Mass spectra of the dimesonic (meson-antimeson) molecular states are computed using the Hellmann potential in variational approach, which consists of relativistic correction to kinetic energy term as well as to the potential energy term. For the study of molecular bound state system, the Hellmann potential of the form $V(r)=-\frac{\alpha_{s}}{r} + \frac{B e^{-Cr}}{r}$ is being used. The one pion exchange potential (OPEP) is also incorporated in the mass calculation. The digamma decay width and decay width of the dimesonic system are evaluated using the wave function. The experimental states such as $f_{0}(980)$, $b_{1}(1235)$, $h_{1}(1380)$, $a_{0}(1450)$, $f_{0}(1500)$, $f_{2}'(1525)$,$f_{2}(1565)$, $h_{1}(1595)$, $a_{2}(1700)$, $f_{0}(1710)$, $f_{2}(1810)$ are compared with dimesonic states. Many of these states (masses and their decay properties) are close to our theoretical predictions.Comment: 11 pages, 4 table

Masses of di-mesonic molecular states

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), a0(980), b1(1235), h1(1380), f 0(1500), f 2(1525), f 2(1565), f 0(1710), f 2(1810), h1(1830) are identified as di-mesonic states

Mass-spectroscopy of [

In this article, we utilise the non-relativistic potential model to calculate the mass-spectra of all bottom [$$bb][{\bar{b}}{\bar{b}}$$] and heavy-light bottom [$$bq][{\bar{b}}{\bar{q}}$$] (q = u,d) tetraquark states in diquark–antidiquark approximation. The four-body problem is reduced into two body problem by numerically solving the $$Schr\ddot{o}dinger$$ equation using a Cornell-inspired potential along with relativistic correction term. The splitting structure of the tetraquark spectrum is described using spin-dependent terms (spin-spin, spin-orbit, and tensor). We have successfully calculated and predicted the masses of bottom mesons, diquarks and tetraquarks. The masses of S and P-wave tetraquark states [$$bb][{\bar{b}}{\bar{b}}$$] and [$$bq][{\bar{b}}{\bar{q}}$$], respectively, are found to be between 18.7–19.4 GeV and 10.4–11.3 GeV, in which the masses of S-wave [$$bb][{\bar{b}}{\bar{b}}$$] states are less than the 2$$\eta _{b}$$, $$\eta _{b}\Upsilon$$, and 2$$\Upsilon$$ threshold. Additionally, we have investigated the $$Z_b(10610)$$ and $$Z_ b(10650)$$ states in the current model and found that they are 150 MeV below the $$BB^{*}$$ and $$B^{*}B^{*}$$ thresholds