PoS( 2013)140 http://pos.sissa.it/ based − Ω ∗ [email protected] [email protected] [email protected] [email protected] [email protected] [email protected] Speaker. In the present work, we investigate subsequentialon production of an three effective and Lagrangian approach.mass baryon to We suggest only the consider minimumof the -octet of intermediate the are fixed total states from cross the with empirical section.symmetry data the considerations and/or Coupling light and constants models these together for with for verteces SU(3) meson-decoupletalso are Chiral-quark soliton predicted model not calculation. only Gauge quark invariancetained model of by the introducing but the resulting contact amplitude currents is by main- extendingfor the gauge-invariant one-meson approach photoproduction of Haberzettl to two-meson photoproduction. ∗ Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. c

XV International Conference on Hadron Spectroscopy-Hadron4-8 2013 November 2013 Nara, Japan K. Nakayama Department of Physics and Astronomy, TheInstitue University für of Kernphysick Georgia, and Athens, Center GA for 30602,Jülich, Hadron USA Germany Physics, Forschungszentrum Jülich, 52424 E-mail: Yongseok Oh Department of Physics, Kyungpook National University,Asia Daegu Pacific 702-701, Center Korea for Theoretical Physics,E-mail: Pohang, Geyoengbuk 790-784, Korea Hyun-Chul Kim Department of Physics, Inha University, IncheonSchool 402–751, of Republic Physics, of Korea Korea Institute forE-mail: Advanced Study, Seoul 130–722, Republic of Korea H. Haberzettl Institute for Nuclear Studies and DepartmentWashington, DC of 20052, Physics, USA The George Washington University, E-mail: Hui-Young Ryu Atsushi Hosaka Research Center for , OsakaE-mail: University, Ibaraki 567-0047, Japan Hadronic description for Omega baryon photoproduction Korea Institute of Science and Technology InformationE-mail: (KISTI) 245, Daejeon 305-806, Korea PoS(Hadron 2013)140 K + 3 can (2.1) ) M 3 + M 2 , 2 M . Sequential } A M 1 , + F 3 label the 1 Hui-Young Ryu b , are labeled by 1 t . Acorrding to 2 M B b 3), and the three , Z M ( F , 1 F M c 2 t , → C = + 1 a F y 1 d B t = M µ d y } A Γ F → b + t a B A B F F c b t (where t B C µ y F F ), the total three-meson production J c 3 t C ∆ } A µ c , µ F 3 Γ B b J c , t t ]. A dedicated experiment for this reaction B A C + 3 F [ ]. Recently, the CLAS Collaboration at the F A c = 2 t F − + {z µ b C t Z . Denoting the four single-baryon currents by Sequential hadronic photoproduction mechanism of A Ω ) B M 0 F 2 F + b depicted as solid lines and K t 2 + K z µ b {z + ∆ A , baryon currents B Γ µ F 2 K + are the baryon and meson propagators, respectively. b b J (where t + t c K ) B t µ , B K 3 µ F Z C 0 Figure 1: three kaons off an initial baryon. {z , meson currents c M F t 2 K M c → , t C ( + t 1 F C p a A F γ + F = 1 and + µ a y ∆ interaction currents ( µ ) A Γ µ 1 a x + A t t J M ∆ A b b a K , for example, describes the transition t t 1 ]. However, since the laste 1980’s, few significant progress has been , F label the baryons A B B 1 0 b b t F F F d K and ), the three single-meson currents by c c B was predicted by the in 1962 and its existance was proved , t t , F d ) c C C c A , + ) , d t F | | F c , b K C , 1 B , c ( + | + F sss b b , a ( , , 2 b x ) , = c 0 = a = µ K x shown as dashed lines. The three meson-baryon-baryon vertices , = ; the vertex x B M y + x C C baryon , ( 2 K M , B x c 3 t − , + d A In addition to this meson-baryon diagram, the can couple to 8 positions except the The meson-baryon diagram we considered in the present work is shown in Figure Ω K (where ( . Indices = µ d x C B Z the position of the nueturalbe , there can be three type of diagram such that neutral kaon line. Therefore wesection, consider we 24 only diagrams. consider the To lighest suggest the states. minimum of the total cross hadronic photoproduction mechanism of three kaons off an initial baryon Γ where is currently underway. Incross the section present of work, the omega we baryon would production. like to suggest the extimation2. of Formalism the toall contact-type interaction cuttrents by experimentally in 1964 [ Thomas Jefferson National AcceleratorCollaboration Facility has (JLab) established, initiated in aphotoproduction particular, cascade reactions the physics such as feasibility program; to the do omega baryon spectroscopy via made in Oemga spectroscopy becausethe of the property closing of of the the then omega existing baryon kaon was factories. shown In [ 2006, Omega baryon photoproduction 1. Introduction current resulting from this procedure has ten topologically distinct contributions, 3 d

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10 년 13 PoS(Hadron 2013)140 . ) 0 3 K p , and , + 2 (2.5) (2.7) (2.8) (2.3) (2.6) (2.4) (2.2) i K p q , , + 1 p K Hui-Young Ryu ) = ( 3 M , 20 2 M , 1 M ( , 15 , , ) Preliminary ) ) 2 1 2 3 2 2 q q q , , , 2 2 2 1 2 4 γ q q / p ε ; ; ; 2 2  2 1 2 3 1 p p / p k ( ( [GeV] ( , , , p Λ p p f Ξ f p p E Ξ 2 ξ 2 Λ 2 Ξ 3 f m 2 κ 1 m m m m 2 m m / λ p / p 3 5 10 5 + − − − + + p + γ γ 2 2 2 2 1 2 3 3 2 p I Λ Ξ / / / q q q q q q  g g g ======p p p Ξ Ξ Λ Λ t t t F F F Γ Total cross section as a function of the photon energy. 5 0 0.001

0.0005 0.0015

tot Figure 2: [nb] are momentum of incoming photon and , respectively. Momenta , we show the total cross section up to 20 GeV to see when the cross section starts 2 2 k and 1 are the outgoing three kaons and omega baryon, respectively, while other momentum k 4 In Figure As an one example, let us consider one baryon current in the case of p are momentum of the intermediate hyperon and the polarization vector of the photon. In above γ to decrease even though effective Lagrangian approach is ambiguous at such a high energy region. where and ε case, the photon couples to the incoming proton. 3. Numerical result Omega baryon photoproduction The vertex functions in this case are given by PoS(Hadron 2013)140 baryon, we ] for baryon 6 − Hui-Young Ryu Ω ] and [ 5 , Spokespersons: , 112001 (2006) [hep-ex/0606039]. baryon photoproduction off the , 035205 (2006) [hep-ph/0605169]. 97 Ω , 204 (1964). 74 12 , 325 (2013). 4 ] for baryons octet and Ref. [ 54 4 , Phys. Rev. Lett. . Since there is no data of the cross section for et al. − Ω 0 K + K + [BaBar Collaboration], Phys. Rev. Lett. K → et al. p γ Photoproduction of the very strangest baryons on the proton target in CLAS12 M. Dugger, J. Goetz, L. Guo,Collaboration), E. JLab Pasyuk, Proposal I.I. E12–11–005a, Strakovsky, Newport D.P. Watts, News, and VA, USA, V. Ziegler 2013. (The Very Strange P. E. Hagerty and E. L. Hart In the present talk, we reviewed a recent study of [3] [5] G. -S. Yang and H. -C.[6] Kim, Few BodyH. Syst. C. Kim (private communication). [4] K. Nakayama, Y. Oh and H. Haberzettl, Phys. Rev. C [2] B. Aubert [1] V. E. Barnes, P. L. Connolly, D. J. Crennell, B. B. Culwick, W. C. Delaney, W. B. Fowler, Omega baryon photoproduction Parameters in this work aredecuplet. taken from Ref. [ 4. Summary and outlook target, i.e., suggest the minimum only considering thewe lightest mass would hyperon like intermediate states. to Inprocess. include the the future, role of high-spin hyperon resonances cotribution inReferences this scattering