Speaker
Christian Rohrhofer
(University of Graz)
Description
We identify the chiral and angular momentum content of the
leading quark-antiquark Fock component for the $\rho(770)$ and
$\rho(1450)$ mesons using a two-flavor lattice simulation with dynamical
Overlap Dirac fermions. We extract this information from the overlap factors
of two interpolating fields with different chiral structure and from the unitary transformation
between chiral and angular momentum basis. For the chiral content of the mesons
we find that
the $\rho(770)$ slightly favors the $(1,0)\oplus(0,1)$ chiral representation
and the $\rho(1450)$ slightly favors the $(1/2,1/2)_b$ chiral
representation. In the angular momentum basis the $\rho(770)$ is then a $^3S_1$
state, in accordance with the quark model. The $\rho(1450)$ is a $^3D_1$ state,
showing that the quark model wrongly assumes the $\rho(1450)$ to be a
radial excitation of the $\rho(770)$.
Primary author
Christian Rohrhofer
(University of Graz)
Co-authors
Leonid Glozman
(University of Graz)
Markus Pak
(University of Graz)
