16–21 Aug 2019
Guilin Bravo Hotel, Guilin, China
Asia/Shanghai timezone

A possible prescription for incorporating the Nambu-Goldstone pions within the quark model

21 Aug 2019, 09:35
20m
Guihu Room (Guilin Bravo Hotel, Guilin, China)

Guihu Room

Guilin Bravo Hotel, Guilin, China

14 South Ronghu Road, Xiangshan, Guilin 541002, Guangxi, China
Parallel Session 1: Meson spectroscopy Session 1: Meson spectroscopy

Speaker

Kenji Yamada (Nihon University)

Description

The quark model has been applied with considerable success to mass spectra, strong and electromagnetic decays of hadrons. In these approaches only the degrees of freedom of the valence quark are retained, thus the pions are simply treated as interacting $q\bar{q}$ pairs, which are identical to the $\rho$ mesons except for the spin quantum number. Meanwhile, from the point of view of QCD the pions are pseudo-Nambu-Goldstone bosons associated with the spontaneous breaking of chiral symmetry. The NG boson nature of the pions is not incorporated into the quark model at all. Here we propose a possible prescription for incorporating the Nambu-Goldstone pions within the quark model by extending the Pauli spinors of quarks to the Dirac spinors, where the pion spin wave function is nearly proportional to $\gamma_{5}$.

Primary author

Kenji Yamada (Nihon University)

Co-authors

Dr Masuho ODA (Nihon University) Dr Tomohito MAEDA (Nihon University) Dr Toshihiko KOMADA (Nihon University)

Presentation materials