ρπ Puzzle: Its Perspectives and Possibilities
ρπ Puzzle: Its Perspectives and Possibilities
Keywords:
ρπ puzzle, charmonium annihilations, hadron spectroscopy, charmonia phenomenology, two body decay of charmoniaAbstract
In order to understand Charmonium Physics there are much theoretical explanations on “ρπ puzzle” of Charmonium decays with a comparative study of theoretical concepts and experimental data. “ρπ puzzle” is the violation of the 12% rule satisfied by most of the hadronic decay modes. In this paper, experimental and theoretical perspectives and possibilities are reviewed. Charmonium decay into light hadrons is a rich source of information about strong interactions between quarks and gluons. Flavor change in c ̅ is an ideal case to study light hadron spectroscopy to probe their gluon contents and flavor. In order to understand Charmodynamics and the mysterious “ρπ puzzle” systematic, theoretical, experimental as well as concrete phenomenological knowledge is presented.Final state interaction, suppressed and enhanced hypothesis always play leading role to answer this question. Exploration of “ρπ puzzle” will be an expedition for opening new worlds of hadron phenomenology and a great scientific triumph for the pedestrians and scientists of high energy physics. For future developments, it is much urgent to construct new phenomenology, systematic measurements in charmonium decays are needed to answer “ρπ puzzle”. In this context, a large expected data of CLEO-c and BESIII will open a new era of charmodynamics will give a profound understanding of “ρπ puzzle”.
References
Rujula, D. & S.L. Glashow. Is bound charm found. Physical Review Letter 34: 46-50 (1975).
Brodsky, S.J. & G.P. Lepage. Helicity selection rules and tests of gluon spin in exclusive quantumchromodynamic processes. Physical Review D24:2848-2876(1981).
Hu, M.X., Y.C. Zheng & W. Ping. Study of the ρπ puzzle in charmonium decays. High Energy Physics and Nuclear Physics 31: 686-701 (2007).
Wong, C.Y. Suppression of J/ψ and ψ′ production in high energy pb on pb collisions. Physical Review C 55: 2621-2624 (1997).
Tuan, S.F. The ρπ puzzle of J/ψ and ψ′ decays. Communication in Theoretical Physics 33: 285-290 (1999).
Freund, P.G.O. & N. Yoichiro. Dynamics of the Zweig-Iizuka rule and a New Vector Meson below 2 GeV/ . Physical Review Letter 34: 1645-1649 (1975).
Meibner, U. & G.J.A. Oller. J/Ψ→φππ (KK) decays, chiral dynamics and OZI violation. Nuclear Physics A679: 671-697 (2001).
Bai, J.Z., Y. Ban, J.G. Bian, et al. Measurement of the branching fraction of J/ψ → .BES Collaboration. Phyical Review D 70:012005-7 (2004).
Yao,W.M., C. Amsler, D. Asner, R.M. Barnett, et al. Particle Data Group. Journal of Physics G: Nuclear and Particle Physics 33: 535-949 (2006).
Bai, J.Z., Y. Ban, J.G. Bian, et al. Improved measurement of the branching ratio of J/ψ→ . BES Collaboration. Physical ReviewD 69:012003-10 (2004).
Aubert, B., R. Barate, D. Boutigny, F. Couderc, et al. Study of the → process using initial state radiation. Babar Collaboration. Physical Review D 70: 072004 -22 (2004).
Hou, W.S. & A. Soni. Low-lying bound states of three gluons: Their spectrum and production and decay properties. Physical Review D 29:101-110 (1984).
Hou, W.S. & A. Soni.Vector gluonium as a possible explanation for anomalous ψdecays. Physical Review Letter 50:569 -573 (1983).
Bali G.S., K. Schilling, A. Husebos, A.C. Irving, C.Michael, & P.W. Stephen. A comprehensive lattice study of SU(3) glueballs. Physical Review Letter B309: 378-384 (1993).
Franklin, M.E., G.J. Feldman, G.S. Abrams, M.S. Alam, et al. Measurement of ψ(3097) and ψ′(3686) Decays into Selected Hadronic Modes. Physical Review Letter 51: 963-967 (1983).
Bai, J.Z.,O. Bardon, I. Blum, A. Breakstone, T. Burnett, et.al. Search for a vector glueball by a scan of the J/ψ resonance. Physical Review D54: 1221-1225 (1996).
Harris, F.A. Recent charmonium results from BES. International Conference on High Energy Physics UH 511-945: 859-861 (1999).
Chen, Y.Q. & E.Y. Braaten. An explanation for the ρπpuzzle of J/ψ and ψ′decays. Physical Review Letter80: 5060-5064 (1998).
Peardon, M. Coarse lattice results for glueballs and hybrids. Nuclear Physics B, Proceeding. Supplements 63: 22-27 (1998).
Ablikim, M., J.Z.Bai, Y. Ban, J.G. Bian, et al.Measurements of ψ(2S) decays into ϕ , ϕη, ϕη′, ωη, and ωη.Physical Review D 70: 112003112010 (2004).
Suzuki, M. Long-distance final-state interactions and J/ψ decay. Physical Review D57: 5717-5723 (1998).
Bai, J.Z. Y. Ban, J.G. Bian, X. Cai, et al. Measurements of ψ(2S) decays into vector-tensor final states. BES Collaboration. Physical Review D 69: 072001-072007 (2004).
Li, G., Q. Zhao & C.H. Chang. Decays of J/ψ and ψ' into vector and pseudoscalar mesons and the pseudoscalar glueball ̅ mixing. Journal of Physics G, Nuclear and Particle Physics 3:5-20 (2008).
Brodsky, S. J. & M. Karlinar. Intrinsic charm of vector mesons: A possible solution of the “ρπ puzzle”. Physical Review Letter 78: 4682-4686 (1997).
Brodsky, S.J. Light-cone wave functions and the intrinsic structure of hadrons. Presented at Conference Proceedings: Slac Publication C 99: 8427-8439 (2000).
Karl, G. & W. Roberts. Sequential fragmentation and rate oscillations in exclusive decay. Phyics Letter B 144: 263-265 (1984).
Ablikim M., J.Z. Bai, Y. Ban, J.G. Bian, et al. Observation of the decay ∗ ̅ BES Collaboration . Phyics Letter B 614: 37-43 (2005).
Liu, K.Y. & K.T. Chao. S-D mixing and ψ (3770) production in e+e− annihilation and B decay and its radiative transitions. Physical Review D 70:094001-094011 (2004).
Rosner, J.L. Charmless final states and S− and Dwave mixing in the ψ′′. Physical Review D 64: 094002-094008 (2001).
Ping, K.Y. & T.M. Yan. Hadronic transitions of Dwave quarkonium and ψ(3770)→J/ψ+ππ.Physical Review D 41: 155-161 (1990).
Wang, P., C.Z. Yuan & X.H. Mo. Measuring ψ″→ρπ in e+e− experiment. Physics Letter B 574: 41-46 (2003).
Adams G.S., M. Anderson, J. P. Cummings, I.Danko, et al. Decay of ψ(3770) to light hadrons. Physical Review D 73: 012002-012007 (2006). 33. Wang, P., C.Z. Yuan & X.H. Mo, Measurement of the exclusive light hadron decays of the ψ″ in e+e- experiments. International Journal of Modern PhysicsA 21: 5163-5176 (2006). 34. Liu, X., X.Q. Zeng & X.Q. Li. Study on contributions of hadronic loops to decays of vector+pseudoscalar mesons. Physical Review D 74: 074003-074011(2006). 35. Qian, L.X.What do we learn from the ρ−π puzzle. Chinese Physics C34:1-4 (2010). 36. Suzuki, M. Possible hadronic excess in ψ (2S) decay and the ρπ puzzle. Physical Review D 63:054021-054029 (2001).
Zhao, Q., G. Li, & C.H. Chang. Study of electromagnetic decay of J/ψ and ψ’ to vector and pseudoscalar. Physics Letter B 645: 173180(2007).
Suzuki, M. Large final-state interaction in the decays of J/ψ. Physical Review D 60: 051501-051505 (1999).
Feldmann, T. & P. Kroll. Implications of lightquark admixtures on charmonium decays into meson pairs. Physical Review D 62: 074006074017 (2000).
Gu,Y.F. & X. H. Li.Ratio of hadronic decay rates of J/ψ and ψ(2S) and the ρπ puzzle .Physical Review D 63: 114019-114025 (2001).
Kwong, W., P.B. Mackenzie, R. Rosenfeld, & J.L. Rosner. Quarkonium annihilation rates .Physical Review D 37: 3210-3216 (1988).
Chan, C.T. & W.S. Hou. On the mixing amplitude of J/ψ and vector glueball O.Nuclear PhysicsA675: 367-370 (2000).
Chiang, H.C., J. Hufner & H.J. Pirner. Finite size vertex corrections to the three-gluon decay widths of J/ψ and ϒ and a redertermination of αs(μ) at μ = mc and mb. Physics Letter B 324: 482-486 (1994).
Dobbs, S., Z. Metreveli, K.K. Seth, A. Tomaradeze, et al. Measurement of interference between electromagnetic and strong amplitudes in ψ(2S) decays to two pseudoscalar mesons.Physical Review Letter 74: 011105- 011110 (2006).
Artoisenet, P., J.M. Gerard, & J. Weyers. Survival before annihilation in Psi-prime decays.Physics Letter B 628: 211-214 (2005).
Morningstar, C.J. & M. Peardon. Glueball spectrum from an anisotropic lattice study. Physical Review D 60: 034509-034522 (1999).
Swanson, E.S. The new heavy mesons: A status report. Physics Reports 429: 243-305 (2006).
Dobbs, S., A. Tomaradze, T. Xiao, & K.K. Seth. A comprehensive study of the radiative decays of J/ψ and ψ(2S) to pseudoscalar meson pairs, and search for glueballs. Physical Review D 91: 052006 (2015).
