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Explore violations of the OZI rule in meson production reactions at the PANDA Facility during the First FRRCFellows Seminar in Moscow, June 2009. Understanding the complexities of meson mixing and production processes in hadronic interactions.
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pdn, ωn, K+-, K0 reactions at PANDA facility Yu. Rogov, First seminar of FRRCFellows FAIR – Russia Research Center, Moscow June, 9 - 10, 2009
OZI rule* • NN→φπ is forbidden, NN→ωπ is allowed • φ production is possible only via mixing, because φ and ω are mixture of ω0 and ω8: = cos8 - sin0 = sin8 + cos0 *Okubo S. // Phys. Rev. 1977. V.16. P.2336
OZI rule • Introducing ideal mixing angle Θi, cosΘi=(2/3)1/2, sinΘi=(1/3)1/2, Θi=35.5° • Θ(mφ,mω,mω8), mω8=m(K*,ρ), Θ=39° • If Z=0, then • R(φ/ω)=tan2(Θ-Θi)f = 4.2·10-3
OZI rule • Okubo: production of ss states in the non-strange hadrons interactions is forbidden • - production in pp (pp) interaction is possible either due to admixture of light quarks in the wave function or due to strange quarks admixture in the nucleon. = -i =3.70
OZI rule predicitions • Universal, does not depend on energy or other properties of the initial state. • Depends on the masses of the meson in the nonet
Comparison with experiment • R(/)=tg2(-I)=4.2 10-3 • Weighted average of all experimental data • N • R(/)=(3.300.34)10-3 • NN • R(/)=(12.780.34)10-3 • NN • R(/)=(14.551.92)10-3
The OZI rule is always correct, its violation is only apparent Violation indicates on non-trivial physics: • Strange degrees of freedom in the nucleon • Role of gluon degrees of freedom
About hydrogen target • Proton annihilation at rest • Slow antiproton capture on an orbit of ppbar atom with large principal quantum number n~30. • Low pressure gas (~mbar): cascade to lower level, annihilation from P levels with n=2 • Liquid H: Stark mixing between various angular momentum states, annihilation from large n and L=0, i.e. S states.
• Crystal Barrel, 1995, LQ hydrogen target • p + p → + • p + p → + • R() = (29497) 10-3 • R()OZI = 4.2 10-3 • L=0, S=0 1S0 spin singlet
• OBELIX, 1995, LQ, NTP, 5 mb • p + p → + • p + p → + • R() = (11410) 10-3 • R()OZI = 4.2 10-3 • L=0, S=1 3S1 • spin triplet
• Different situation for annihilation from S- and P-waves • R() = (12012) 10-3 3S1 • R() < 7.2 10-3 1 P1 • spin triplet – enhanced • spin singlet – suppressed
f2’(1525)/f2(1270) • Tensor mesons: • L=1, S=1, J=2 • f2(1270) normal qq • f2’(1525) ss • R(f2’f2) = (4714) 10-3 3S1 • R(f2’f2) = (14920) 10-3 1 P1 • spin triplet – suppressed • spin singlet – enhanced
• OBELIX, 1995, NTP, 5 mb • p + p → + + + - • p + p → + + + - For all events: • R() = (5-6) 10-3 • R()OZI = 4.2 10-3 For events with M=300-500 MeV • R() = (16-30) 10-3
nn • OBELIX, Crystal Barrel • p + d → + n • p + d → + n B.Pontecorvo, 1956 One-meson annihilation • R() = (15629) 10-3 • R()OZI = 4.2 10-3
/ • If it were a normal quark reaction • ()exp~ 4 b • why is it so large? • () was not measured s p s p s s
Strong violation of the OZI rule was found in • pp • pp, • pp (3S1) • pdn • Does it depend on • spin • orbital angular momentum • momentum transfer • isospin? At LEAR experiemts
Pontecorvo reactions • Largest momentum transfer:q2=-0.782 GeV2/c2 inpdn, compared toq2=-0.360 GeV2/c2 inpp0 • Interesting physics*:two-step modelpp0, nnR() = (15629) 10-3Rth() = (9227) 10-3R() decreases with energy *Kondratyuk L.A., Sapozhnikov M.G., Phys.Lett., 1989, B220, 333. *Kondratyuk L.A. et al., Yad.Fiz., 1998, 61, 1670.
Pontecorvo reactions • Reactions p + d+K0, 0+K0R=Y(K)/Y(K) = 0.920.15two-step model R=0.012 because σ(KNX) > σ(KN X) • Is two-step model correct?
Pontecorvo reactions at PANDA • Energy region never measured before • High statistics expected • Noone really knows why OZI rule is violated in such selective manner • Assuming that OZI rule is precisely correct, we have a hint to non-trivial physics