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Roper from 2+1 Flavor Clover Fermions and Chiral Dynamics

Roper from 2+1 Flavor Clover Fermions and Chiral Dynamics. Roper resonances from quenched approximation and 2+1 flavor Clover fermions Roper wavefunctions from overlap Flavor-singlet and flavor-octec Λ (1/2 - ) Attempt to understand the underline chiral dynamics. QCD Collaboration :

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Roper from 2+1 Flavor Clover Fermions and Chiral Dynamics

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  1. Roper from 2+1 Flavor Clover Fermions and Chiral Dynamics • Roper resonances from quenched approximation and 2+1 flavor Clover fermions • Roper wavefunctions from overlap • Flavor-singlet and flavor-octec Λ (1/2-) • Attempt to understand the underline chiral dynamics QCDCollaboration: A. Alexandru, Y. Chen, T. Doi, S.J. Dong, T. Draper, F .X. Lee, K.F. Liu, D. Mankame, X.F. Meng, N. Mathur, T. Streuer Lattice 2008, July 15, 2008

  2. B.G. Lasscock et al, PRD76, 054510 (2007)

  3. Sequential Empirical Bayes Method Fitting of CSSM Data Y. Chen

  4. Overlap fermion on quenched 16^3 x 28 lattices In the chirally improved fermion calculation (a=0.119 fm), the flavor-octet and flavor-singlet Λ(1/2-) are inverted.

  5. Roper and N for Quenched Wilson and Clover at L ~ 2.4 fm

  6. Roper Radial excitation? q4q State? • Roper is seen on the lattice with three-quark interpolation field. • Weight : |<0|ON|R >|2 >|<0|ON|N>|2 > 0(point source, point sink) ∑ψ(x) ∑ON(x) ∑ψ(y) ∑ψ(z) Point sink Wall source <0|ON(0)|N><N| ∑ψ(x) ∑ψ(y) ∑ψ(z)|0 >>0 However,<0|ON(0)|R><R| ∑ψ(x) ∑ψ(y) | ∑ψ(z)|0 ><0 1S 2S

  7. Bethe-Salpeter Wavefunction +

  8. Nucleon and Roper wavefunctions for mπ= 633 MeV ORN = 0.30

  9. Roper and Nucleon Wavefunctions at mπ = 438 MeV ORN = 0.59

  10. S11 and Roper for Clover Fermions

  11. Λ(1/2+) and Λ(1/2-) Singlet and Octect

  12. Λ(1/2+) and Λ(1/2-) Singlet and Octect

  13. Conclusion • Baryon Spectrum is sensitive to fermion actions at finite a. • Dynamical fermion has a large effect on S11 and both singlet and octet Λ(1/2-) for the Clover action. • In addition to chiral logs in mπand mK, Roper and Λ(1/2-) are good cases to study chiral dynamics with different fermion actions.

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