Abstract
We prove and extend some conjectures by Dib, Franzini and Gilman on the comparison of expectation values of rv in the ground state and the first radial excited state of a two-body system for a given, non-zero angular momentum. One of the by-products is that for usual potentials, the overall splitting of the P states is likely to be smaller for the excited state than for the ground state. We also make comparisons between the ground state and angular excitations and prove that the expectation values of rv, −3⩽v<0, decrease rapidly with the angular momentum for concave potentials, which explains why the fine splitting of quarkonium levels is getting small for large l.
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.
