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Decays in a Hybrid Baryon Model

Decays in a Hybrid Baryon Model. K. Khosonthongkee † , N. Supanam and Y. Yan. School of Physics, Suranaree University of Technology, Nakhon Ratchasima, Thailand. 18 th International IUPAP Conference on Few-Body Problems in Physics (FB18). Santos, São Paulo, Brazil August 24, 2006. Outline.

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Decays in a Hybrid Baryon Model

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  1. Decays in a Hybrid Baryon Model K. Khosonthongkee†, N. Supanam and Y. Yan School of Physics, Suranaree University of Technology, Nakhon Ratchasima, Thailand 18th International IUPAP Conference on Few-Body Problems in Physics (FB18) Santos, São Paulo, Brazil August 24, 2006

  2. Outline • Introduction • The Hybrid Baryon Model • Interaction Operator • The transition amplitude for N*(1440) decay • Preliminary Results • Conclusions

  3. Introduction QCD Atom electron fundamental theory of strong interaction Nucleus Low energy Nucleon Strong Interaction ??? Model

  4. N, Nucleon(939) Baryon excitation states ∆(1232) N*(1440), Roper Resonance understanding Nucleon internal structure J= 1/2, I = 1/2, P=+1 J= 3/2, I = 3/2, P=+1 J= 1/2, I = 1/2, P=+1 N*(1440) Intrinsic excitation of Nucleon at energy around 500 Mev

  5. problems of the models Simple Model for N*(1440) N*(1440) is three-quark with the first radial excitation N*(1440) too low mass to be radial excitation Various quarks models Met difficulties to explain its mass and electromagnetic couplings

  6. The Hybrid Baryon Model Hybrid N*(1440) Bag Model TE (transverse electric) TM (transverse magnetic) qqq G low mass TE mode is lowest eigenmode N*(1440) 3 quarks and a TE gluon q3G

  7. Wave functions Interaction Operator

  8. Nucleon wave function qqq harmonic oscillator potential

  9. Pion wave function qq harmonic oscillator potential

  10. N*(1440) wave function q3G harmonic oscillator potential

  11. :total spin of 3 quarks flavor wave function totally symmetric color wave function mix symmetric spin wave function mix antisymmetric gluon

  12. Interaction Operator Nonreletivistic approximation

  13. 5 6 1 7 2 4 3 8 9 † † The Transition Amplitude for Decay

  14. depend on Expand the total transition amplitude in partial wave

  15. Values of Q1and Q2 for different initial and final states

  16. Decay width of Preliminary Results depend on Independent of

  17. Preliminary Results Z. Li et.al. Phys. Rev. D. 46 (1992) p70-74

  18. Conclusions • is treated as a hybrid baryon, , in nonrelativistic regime • The method developed is very general, it could be applied to evaluate other decay process like • Next Step • Determine the parameters • Work out the decay width of in other channel

  19. Thank you for your attention

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