Abstract
We consider broken chiral SU(4) \ifmmode\times\else\texttimes\fi{} SU(4) symmetry. From the observed mass spectrum of pseudoscalar charmed mesons, we are able to solve for the symmetry-breaking parameters of the theory. We find that both vacuum and Hamiltonian breaking play an important role as far as charmed states are concerned. Purely from the masses of $D$ and $F$ mesons we deduce the current-algebra mass ratio $\frac{{m}_{c}}{{m}_{s}}l5$. This differs greatly from values obtained using linear or quadratic mass formulas. Considering $\ensuremath{\eta}$, ${\ensuremath{\eta}}^{\ensuremath{'}}$, and ${\ensuremath{\eta}}_{c}$ mixing we further obtain a good solution with $\frac{{m}_{c}}{{m}_{s}}\ensuremath{\simeq}3.2$ and $\frac{〈\overline{c}c〉}{〈\overline{u}u〉}\ensuremath{\simeq}5.67$.
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.
