The Pion Light-Cone Wave Function Phi_pi on the lattice: a partonic signal?
A. Abada, Ph. Boucaud, G. Herdoiza, J.P. Leroy, J. Micheli, O. Pene, and J. Rodriguez-Quintero
TL;DR
This paper explores a novel lattice method to directly observe the pion's light-cone wave function by studying a scalar-quark system, providing preliminary evidence of partonic behavior.
Contribution
It introduces a new lattice approach for studying the pion light-cone wave function using an auxiliary scalar-quark, offering a direct partonic signal.
Findings
Preliminary lattice results suggest partonic behavior in the scalar-quark system.
Conditions for studying the pion wave function on the lattice are identified.
Spectroscopy of scalar-quark bound states is performed.
Abstract
We determine the conditions required to study the pion light-cone wave function Phi_pi with a new method: a direct display of the partons constituting the pion. We present the preliminary results of a lattice computation of Phi_pi following this direction. An auxiliary scalar-quark is introduced. The spectroscopy of its bound states is studied. We observe some indications of a partonic behavior of the system of this scalar-quark and the anti-quark.
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