scholarly journals Mass spectra and decay properties ofDsmeson in a relativistic Dirac formalism

2014 ◽  
Vol 90 (1) ◽  
Author(s):  
Manan Shah ◽  
Bhavin Patel ◽  
P. C. Vinodkumar
2012 ◽  
Vol 27 (22) ◽  
pp. 1250127 ◽  
Author(s):  
BHAGHYESH ◽  
K. B. VIJAYA KUMAR

We investigate the spectra and decays of charmonium [Formula: see text] system in a semirelativistic potential model. The Hamiltonian of our model consists of a relativistic kinetic energy term, a vector Coulomb-like potential and a scalar confining potential. From this Hamiltonian a spinless wave equation is obtained. The wave equation is then reduced to the form of a single particle Schrödinger equation. The spin dependent potentials are introduced as a perturbation. The three-dimensional harmonic oscillator wave function is employed as a trial wave function and the [Formula: see text] mass spectra is obtained by the variational method. The model parameters and the wave function that reproduce the mass spectra of the [Formula: see text] mesons are then used to investigate some of the decay properties. The results obtained are then compared with the experimental data and with the predictions of other theoretical models. We also propose possible [Formula: see text] assignments for the recently observed charmonium or charmonium-like states.


2017 ◽  
Vol 41 (7) ◽  
pp. 073101 ◽  
Author(s):  
Virendrasinh Kher ◽  
Nayneshkumar Devlani ◽  
Ajay Kumar Rai

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Wei Hao ◽  
Guan-Ying Wang ◽  
En Wang ◽  
Guan-Nan Li ◽  
De-Min Li

Abstract Recently, the LHCb Collaboration has confirmed the state X(4140), with a mass $$M=4146.5\pm 4.5^{+4.6}_{-2.8}$$M=4146.5±4.5-2.8+4.6 MeV, and a much larger width $$\Gamma =83\pm 21^{+21}_{-14}$$Γ=83±21-14+21 MeV than the previous experimental measurements, which has confused the understanding of its nature. We will investigate the possibility of the $$\chi _{c1}(3P)$$χc1(3P) interpretation for the X(4140), considering the mass spectra predicted in the quark model, and the strong decay properties within the $$^3P_0$$3P0 model. We also predict the strong decay properties of the charmonium states $$\chi _{c0}(3P)$$χc0(3P) and $$\chi _{c2}(3P)$$χc2(3P). Our results show that the X(4140) state with the small width given in PDG can be explained as the charmonium state $$\chi _{c1}(3P)$$χc1(3P) in the $$^3P_0$$3P0 model, and high precision measurement of the width of the X(4140) is crucial to understand its nature.


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