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

Ajay Kumar Rai; D. P. Rathaud

doi:10.1140/epjc/s10052-015-3695-z

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2015) 75: 462
https://doi.org/10.1140/epjc/s10052-015-3695-z

Regular Article - Theoretical Physics

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

Ajay Kumar Rai^* and D. P. Rathaud

Department of Applied Physics, Sardar Vallabhbhai National Institute of Technology, Surat, 395007, Gujarat, India

^* e-mail: raiajayk@gmail.com

Received: 6 July 2015
Accepted: 22 September 2015
Published online: 28 September 2015

Abstract

Mass spectra of the dimesonic (meson–antimeson) 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 $V(r)=-\frac{\alpha _{s}}{r} + \frac{B e^{-Cr}}{r}$ , is being used. The one pion exchange potential 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 $f_{0}(980)$ , $b_{1}(1235)$ , $h_{1}(1380)$ , $a_{0}(1450)$ , $f_{0}(1500)$ , $f_{2}'(1525)$ , $f_{2}(15 65)$ , $h_{1}(1595)$ , $a_{2}(1700)$ , $f_{0}(1710)$ and $f_{2}(1810)$ are compared with dimesonic states. Many of these states (masses and their decay properties) are close to our theoretical predictions.