Abstract
The fine and hyperfine structure and dipole transitions of the charmonium\((c\bar c)\) and bottonium\((b\bar b)\) systems are investigated in a simple quark-confining, analytically solvable, nonrelativistic quarkantiquark (two-step) potential,V=Vv+Vs, whereVv is the fourth component of a vector potential andVs is a scalar potential. Our predictions for the splittings of theP-state multiplets and for the absolute masses of the vacious3PJ(Ξ) states of\((c\bar c)\) and\((b\bar b)\) systems are in good agreement with the data. For the hyperfine splittings of\((b\bar b)\) system we obtain\(M_\Upsilon - M_{\eta _b } = 42MeV\) and\(M_{\Upsilon '} - M_{\eta '_b } = 34MeV\), which are comparable with the other theoretical predictions. Our results for the dipole transition rates are also comparable with the available experimental data and with other theoretical predictions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
