**Angular and chiral content of the $\rho$ and $\rho^\prime$ mesons**

*C. Rohrhofer, M. Pak, L. Glozman*

in 34th annual International Symposium on Lattice Field Theory

Contribution: pdf

**Abstract**

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. We find that

in the

angular momentum basis the $\rho(770)$ is 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 $\rho(770)$.

Further, we apply a low-mode truncation scheme of the Dirac operator and study

its effects on the chiral structure of the mesons.