Decay of the Phi meson into three pions is suppressed by the OZI rule.
Decay of the Phi meson into two Kaons is not suppressed by the OZI rule.
The Okubo–Zweig–Iizuka rule or OZI rule is a consequence of quantum chromodynamics (QCD) that explains why certain decay modes appear less frequently than otherwise might be expected. It was independently proposed by Susumu Okubo, George Zweig and Jugoro Iizuka in the 1960s.[1][2][3]
It states that any strongly occurring process will be suppressed if, through only the removal of internal gluon lines, its Feynman diagram can be separated into two disconnected diagrams: one containing all of the initial-state particles and one containing all of the final-state particles.
An example of such a suppressed decay is the Phi meson into pions: φ → π+ + π− + π0 . It would be expected that this decay mode would dominate over other decay modes such as φ → K+ + K− , which have much lower Q values. In actuality, it is seen that φ decays to kaons 84% of the time, suggesting the decay path to pions is suppressed.
An explanation of the OZI rule can be seen from the decrease of the coupling constant in QCD with increasing energy (or momentum transfer). For the OZI suppressed channels, the gluons must have high q2 (at least as much as the rest mass energies of the quarks into which they decay) and so the coupling constant will appear small to these gluons.
Another explanation of the OZI rule comes from the large-Nc limit, in which the number of colors Nc is assumed to be infinite. The OZI suppressed processes have a higher ratio of vertices (which contribute factors of 1⁄Nc) to independent fermion loops (which contribute factors of Nc) when compared to the non-suppressed processes, and so these processes are much less common.
A further example is given by the decays of excited states of charmonium (bound state of charm quark and antiquark).
For states lighter than the charged D mesons, the decay must proceed just like the above example into three pions, with three virtual gluons mediating the interaction, each of which must have enough energy to produce a quark-antiquark pair.
But above the D meson threshold, the original valence quarks need not annihilate; they can propagate into the final states. In this case, only two gluons are required, which share the energy of the light quark-antiquark pair that is spontaneously nucleated. They are thus lower in energy than the three gluons of the OZI-suppressed annihilation. The suppression arises from both the smaller values of the QCD coupling constant at high energies, as well as the greater number of interaction vertices.
^Okubo, S. (1963). "φ-meson and unitary symmetry model". Physics Letters. 5 (2). Elsevier BV: 165–168. doi:10.1016/s0375-9601(63)92548-9. ISSN 0031-9163.
^Zweig, G. (1964). CERN Report No. 8419 / TH412 (Report).
^Iizuka, Jugoro (1966). "A Systematics and Phenomenology of Meson Family". Progress of Theoretical Physics Supplement. 37. Oxford University Press (OUP): 21–34. doi:10.1143/ptps.37.21. ISSN 0375-9687.
OZIrule The Okubo–Zweig–Iizuka rule or OZIrule is a consequence of quantum chromodynamics (QCD) that explains why certain decay modes appear less frequently...
unusual propensity to decay into K0 and K0 that led to the discovery of the OZIrule. It has a mass of 1019.461±0.020 MeV/c2 and a mean lifetime of 1.55±0.01...
of the φ meson to ρ π, a feature codified by what is now known as the OZIRule, the "Z" in which stands for "Zweig". In subsequent technical terminology...
formation depending on the yield of heavy quarks in plasma can occur. OZIrule Matsui, T.; Satz, H. (1986-06-01). J/Ψ Suppression By Quark-Gluon Plasma...
University of Rochester Known for Gell-Mann–Okubo mass formula Okubo algebra OZIrule Spouse Mary Ōkubo Children 2 Scientific career Fields Elementary particle...
Dubossary, as well as some 150 villages, and Silistra Province, sometimes called Özi Province, to which it belonged. Khadjibey later became a sanjak centre of...
playing and supporting Aussie Rules". At various times between 2004 and 2007, other regularly updated sources included OziRulzGlobal, Fourth Quarter, and...
unveiled by Riot Games during the event, with Baekhyun from Exo and SuperM, ØZI, Tobi Lou and Cal Scruby representing the group as its human counterpart...
Empire. Under Ottoman rule, the three major cities each were the center of a sanjak, and were together officially part of Silistra (or Özi) Eyalet although...
Matumona worked on all the group's albums in the 80s, composing hits like "Ozi", "Déserteur", "Mister X" and "Chagrin Dimone". In 1991, he decided to leave...
purpose of this reorganisation, and especially the creation of the eyalet of Özi was presumably to improve the defences of the Black Sea ports against the...
is named after him. Russia formally gained possession of the Sanjak of Özi (Ochakiv Oblast) as a result of the Treaty of Jassy (Iaşi) in 1792 and it...
Jock the Hero Dog, Charles Johnson in Pirate's Passage, Albino Crocodile in Ozi: Voice of the Forest, Clumsy Waiter in the Sunday Pants segment "The Hall...
Portuguese period in East Africa – p. 112 Welch, Sidney R. (1950). Portuguese rule and Spanish crown in South Africa, 1581–1640. Juta. p. 25. ISBN 978-0-8426-1588-4...
Games Northamptonshire, England, United Kingdom 2004 video game developer OziSoft Sydney, Australia 1982 A Journey to the Centre of the Earth Distributor...
Outasight Outsider Overlord X Overweight Pooch Ovi Oxmo Puccino Oxxxymiron Oz ØZI Ozuna P Money P.C.T P.O P.O.S Pa Salieu Pablo Grant Pacewon Pacho El Antifeka...
et'özinteki kan irin arıgsız yablak taşıltı tökülti... yeme ol tözün är kamag özi tonı baştan adakka tegü kanka irinke örgenip uvutsuz biligin üçün esrükin...
The Ottoman Silistra Province was reduced in size, as the districts of Özi and Hocabey and the region of Bessarabia were ceded to the Russian Empire...
Throne". SoundCloud. Retrieved November 23, 2017. "El Suero de la Calle - D.Ozi - Overview". AllMusic. Retrieved November 22, 2017. "Alta Jerarquía - Tito...
December 7 – Jack Jouett, American politician (d. 1822) December 9 – Étienne Ozi, French composer (d. 1813) December 15 – Usman dan Fodio, Nigerian Islamic...
three autonomous communities/towns, listed in order of seniority: Akpa-Edem, Ozi-Edem and Edem-Ani but unified as a culturally inviolable and indivisible...
Grand Vizier complained to the Russian consul about raids to Crimea and Özi in 1761. In 1769 one last major Tatar raid, which took place during the Russo-Turkish...