Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-05-22
Phys.Rev.D64:074511,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, 21 PS figures, Latex
Scientific paper
10.1103/PhysRevD.64.074511
We present the first attempt of a new method to compute the pion light-cone wave function (LCWF) on the lattice. We compute the matrix element between the pion and the vacuum of a non-local operator: the propagator of a ``scalar quark'' (named for short "squark"). A theoretical analysis shows that for some kinematical conditions (energetic pion and hard squark) this matrix element depends dominantly on the LCWF $\Phi_\pi(u), u\in [0,1]$. On the lattice, the discretization of the parton momenta imposes further constraints on the pion momentum. The two-point Green functions made of squark-quark and squark-squark fields show hadron-like bound-state behaviour and verify the standard energy spectrum. We show some indications that during a short time, after being created, the system of the spectator quark and the squark behave like partons, before they form a hadron-like bound state. This short time is the place where the partonic wave function has to be looked for.
Abada Abdellatif
Boucaud Ph.
Herdoiza Gregorio
Leroy J.-P.
Micheli J.
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