Gell-Mann-Okubo Mass Formula Revisited
| dc.creator | Burakovsky, L. | |
| dc.creator | Goldman, T. | |
| dc.date | 1997-08-29 | |
| dc.date.accessioned | 2026-07-07T04:02:20Z | |
| dc.date.available | 2026-07-07T04:02:20Z | |
| dc.description | We show that the application of Regge phenomenology to SU(4) meson multiplets leads to a new Gell-Mann-Okubo mass-mixing formula in the SU(3) sector, 3m_1^2 + (cos theta)^2 m_0^2 + (sin theta)^2 m_{0'}^2 + sqrt{2} sin(2theta) (m_0^2 - m_{0'}^2) = 4m_{1/2}^2, where m_1,m_{1/2},m_0,m_{0'} are the masses of the isovector, isodoublet, isoscalar mostly octet and isoscalar mostly singlet states, respectively, and theta is the nonet mixing angle. For an ideally mixed nonet, theta = arctan(1/sqrt{2}), this formula reduces to 2m_0^2 + 3m_1^2 = 4m_{1/2}^2 + m_{0'}^2 which holds with an accuracy of ~1% for vector and tensor mesons. For pseudoscalar mesons, with the eta-eta' mixing angle -arctan[1/(2sqrt{2})] ~ -19.5^o, in agreement with experiment, it leads to the relation 4m_K^2 = 3m_pi^2 + m_{eta'}^2 which holds to an accuracy of better than 1% for the measured pseudoscalar meson masses. | |
| dc.description | 11 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9708498 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9708498 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/47189 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Gell-Mann-Okubo Mass Formula Revisited | |
| dc.type | text |