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Determining the Q + quantum numbers through the K + p -> p + KN reaction

Determining the Q + quantum numbers through the K + p -> p + KN reaction. Tetsuo Hyodo a ,. A. Hosaka a , M. J. Vicente Vacas b and E. Oset b. a RCNP , Osaka b IFIC, Valencia. 2003, October 23rd. Contents. Introduction Status of theoretical studies Photo-production process

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Determining the Q + quantum numbers through the K + p -> p + KN reaction

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  1. Determining the Q+ quantum numbers through the K+p -> p+KN reaction Tetsuo Hyodoa, A. Hosakaa, M. J. Vicente Vacasb and E. Osetb a RCNP, Osaka b IFIC, Valencia 2003, October 23rd

  2. Contents • Introduction • Status of theoretical studies • Photo-production process • The K+p -> p+K+n(K0p) reaction • Motivation & advantage • Model for the reaction • Numerical results • Conclusions • Future (current) works • Full calculation • K* production

  3. Introduction Q+: 5-quark (4 quark + 1 anti-quark) LEPS, T. Nakano et al., Phys. Rev. Lett. 91 (2003) 012002 Quantum numbers are not yet determined Theory prediction D. Diakonov et al. (chiral quark soliton) Naive quark model S. Capstick et al. (isotensor formulation) A. Hosaka (chiral potential) R. L. Jaffe et al. (qq-qq-q : 10 + 8) J. Sugiyama et al. (QCD sum rule) F. Csikor et al. (Lattice QCD) S. Sasaki (Lattice QCD) : 1/2+, I=0 : 1/2- : 1/2-, 3/2-, 5/2-, I=2 : 1/2+ (strong p) : 1/2+, I=0 : 1/2-, I=0 : 1/2+->1/2- : 1/2-

  4. Photo-production process Assuming the quantum numbers (spin, parity), we can calculate a reaction W. Liu et al. nucl-th/0308034 S. I. Nam et al. hep-ph/0308313 W. Liu et al. nucl-th/0309023 Y. Oh et al. hep-ph/0310117 gp -> K0Q+, gn -> K-Q+ • Model (mechanism) dependence • Form factor dependence • Unknown parameters Initial cm energy ~ 2 GeV (pcm ~ 750 MeV) not low energy -> linear or nonlinear? N* resonances, K* exchange, K1 exchange,… Monopole, dipole… , value of L, … gQQ coupling, K*pQ coupling, …

  5. Motivation and advantage We propose K+p -> p+Q+ -> p+K+n(K0p) • Low energy model is sufficient (pcm ~ 350 MeV) • take decay into account -> background estimation -> Width independent • Hadronic process : clear mechanism to extract a qualitative behavior which depends on the quantum numbers of Q+. Determination of quantum numbers

  6. A model for K+p -> p+K+n E. Oset and M. J. Vicente Vacas, PLB386, 39(1996) Vertices are derived from the chiral Lagrangian Proportional to vanishes Dominant Assume finalp+is almost at rest

  7. Diagrams Tree level (background) One loop

  8. Possibilities of spin & parity 1/2-(KN s-wave resonance) 1/2+,3/2+(KN p-wave resonance) MR = 1540 MeV G = 20 MeV

  9. Resonance term Amplitude of resonance term for K+p -> p+K+n :

  10. Angular dependence

  11. Mass distributions

  12. Polarization test # Same result is obtained for final pK0

  13. Angular dependence : polarization test

  14. Mass distributions : polarization test

  15. Incomplete polarization 100 % 80 % 0 %

  16. Conclusion We calculate theK+p -> p0KN reaction using a chiral model, assuming the possible quantum numbers of Q+ baryon. • If we find the resonance with polarization • test, the quantum number of Q+ can be • determined as I=0, JP=1/2+ T. Hyodo, A. Hosaka, and E. Oset, nucl-th/0307105

  17. Future work • Full calculation of the present reaction • without approximation of kinematics • -> information from p+ angular dependence • photo-production of K* and Q • V. Kubarovsky et al., hep-ex/0307088

  18. Photo-production of K* and Q Preliminary

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