### Abstract

We study the σ meson in QCD sum rules using a two-quark interpolating field with derivatives. In the constituent quark model, the σ meson is composed of a quark and an antiquark in the relative p-wave state and is thus expected to have a larger overlap with an interpolating field that measures the derivative of the relative quark wave function. While the sum rule with a current without derivative gives a pole mass of around 1 GeV, the present sum rule with derivative current gives a mass of around 550 MeV and a width of 400 MeV, that could be identified with the σ meson.

Original language | English |
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Article number | 074025 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 79 |

Issue number | 7 |

DOIs | |

Publication status | Published - 2009 Apr 1 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

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## Cite this

Lee, S. H., Morita, K., & Ohnishi, K. (2009). Sigma meson in QCD sum rules using a two-quark current with derivatives.

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,*79*(7), [074025]. https://doi.org/10.1103/PhysRevD.79.074025