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monopole fit G A and G p monopole fit to experimental results pion pole dominance C. Alexandrou, University of Cyprus PSI, December 18th 2007 Results in the hybrid approach by the LPHC in agreement with dynamical Wilson results Unquenching effects large at small Q 2 in line with theoretical expectations that pion cloud effects are dominant at low Q 2 Cyprus/MIT collaboration
N to Δ transition form factors C. Alexandrou, University of Cyprus PSI, December 18th 2007 Electromagnetic N to Δ: Write in term of Sachs form factors: < !( ! p " , s " ) | j | N( µ ! p,s) >= i 2 1/2 # m m & ! N 3 % $ E ( p " )E (p) ( u ! N ' ) ( ! p " , s " )O u( )µ ! p,s) O = G (q )µ M1 2 M1 )K + G (q )µ E2 2 E2 )K + G (q )µ C2 2 C2 )K )µ Magnetic dipole: dominant Electric quadrupole Coloumb quadrupole Axial vector N to Δ: four additional form factors, C 3 A (Q 2 ), C4 A (Q 2 ), C5 A (Q 2 ), C6 A (Q 2 ) PCAC relates C5 A and C6 A to GπΝΔ : Pion pole dominance: A 2 Q C (Q ) ! 5 2 2 mN C A 2 1 (Q ) = 6 2m N 1 m N A 2 1 C (Q ) ! 6 2 2 f m G (Q " " "N# 2 ) 2 2 m + Q " G !N" (Q 2 )f ! 2 2 m + Q ! # G (Q !N" 2 A 2 )f = 2m C (Q ) ! N 5 Dominant: C 5 A GA C 6 A G p Generalized non-diagonal Goldberger-Treiman relation Non-diagonal Goldberger-Treiman relation
Page 1 and 2: Πανεπιστήµιο Κύπρο
Page 3 and 4: Lattice 2007: Highlights • Impres
Page 5 and 6: Chiral fermions Instead of a D such
Page 7 and 8: Lattice 2007: Highlights Impressiv
Page 9 and 10: Lattice 2007: Highlights Impressiv
Page 11 and 12: Pion sector Applications to pion an
Page 13 and 14: Pion decay constant with twisted ma
Page 15 and 16: π-π scattering Lüscher’s finit
Page 17 and 18: Dynamical overlap, L~1.8 fm Pion fo
Page 19 and 20: Pion form factor Comparison with ex
Page 21 and 22: Baryon sector Twisted mass and Stag
Page 23 and 24: Hybrid actions Wilson fermions Cou
Page 25 and 26: Isovector form factors obtained fro
Page 27: Nucleon axial form factors Within t
Page 31 and 32: Axial N to Δ Bending seen in HBχP
Page 33 and 34: Goldberger-Treiman Relations Deviat
Page 35 and 36: Electric quadrupole Δ form factor
Page 37 and 38: Moments of Generalized parton distr
Page 39 and 40: Total spin of quark: Spin of the nu
Page 41 and 42: C. Alexandrou, University of Cyprus
Page 43 and 44: Weak Decays and CKM matrix For char
Page 45 and 46: Unitarity triangle C. Alexandrou, U

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