Imaging dynamical chiral-symmetry breaking: pion wave function on the light front
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Date
2013
Authors
Chang, L.
Cloet, I.
Cobos-Martinez, J.
Roberts, C.
Schmidt, S.
Tandy, P.
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Physical Review Letters, 2013; 110(13):132001-1-132001-5
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Lei Chang, I. C. Cloët, J. J. Cobos-Martinez, C. D. Roberts, S. M. Schmidt, and P. C. Tandy
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Abstract
We project onto the light front the pion's Poincaré-covariant Bethe-Salpeter wave function obtained using two different approximations to the kernels of quantum chromodynamics' Dyson-Schwinger equations. At an hadronic scale, both computed results are concave and significantly broader than the asymptotic distribution amplitude, φ(π)(asy)(x)=6x(1-x); e.g., the integral of φ(π)(x)/φ(π)(asy)(x) is 1.8 using the simplest kernel and 1.5 with the more sophisticated kernel. Independent of the kernels, the emergent phenomenon of dynamical chiral-symmetry breaking is responsible for hardening the amplitude.
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© 2013 American Physical Society