RT Journal Article
T1 Chirally symmetric quark description of low energy pi-pi scattering
A1 Llanes Estrada, Felipe José
A1 Bicudo, Pedro
A1 Cotanch, Stephen
A1 Maris, Pieter
A1 Szczepaniak, Adam
AB Weinberg’s theorem for π-π scattering, including the Adler zero at threshold in the chiral limit, is analyticall proved for microscopic quark models that preserve chiral symmetry. Implementing Ward-Takahashi identities, the isospin 0 and 2 scattering lengths are derived in exact agreement with Weinberg’s low energy results. Our proof applies to alternative quark formulations including the Hamiltonian and Euclidean space Dyson-Schwinger approaches. Finally, the threshold π-π scattering amplitudes are calculated using the Dyson- Schwinger equations in the rainbow-ladder truncation, confirming the formal derivation.
PB American Physical Soc
SN 0556-2821
YR 2002
FD 2002-04-01
LK https://hdl.handle.net/20.500.14352/58828
UL https://hdl.handle.net/20.500.14352/58828
LA eng
NO © 2002 The American Physical Society.P.B. acknowledges Gonçalo Marques’ assistance and enlightening discussions with Gastao Krein, George Rupp and Mike Scadron. This work is supported in part by grants DOE DE-FG02-97ER41048 and NSF INT-9807009.
NO DOE
NO NSF
DS Docta Complutense
RD 26 abr 2025