Year: 2011
Type: article
Abstract: We propose a phenomenological QCD sum rule with an explicit diquark field to investigate the essential ingredients inside the hadrons. By introducing the mass ${m}_{\ensuremath{\varphi}}$ and the condensate $\ensuremath{\langle}{\ensuremath{\varphi}}^{2}\ensuremath{\rangle}$ for the diquark field as parameters in the model, we find that the sum rule works well for $\ensuremath{\Lambda}$, ${\ensuremath{\Lambda}}_{c}$, and ${\ensuremath{\Lambda}}_{b}$. This implies that these $\ensuremath{\Lambda}$ baryons can be represented by a diquark and a quark configuration. We also find that there is a duality relation among the parameters (${m}_{\ensuremath{\varphi}},\ensuremath{\langle}{\ensuremath{\varphi}}^{2}\ensuremath{\rangle}$) for which the sum rule is equally good. In the limit when $\ensuremath{\langle}{\ensuremath{\varphi}}^{2}\ensuremath{\rangle}=0$, we find ${m}_{\ensuremath{\varphi}}=400$ MeV, which can be thought of as the constituent diquark mass.
Source: Physical Review C
Authors: Kyungil Kim, Daisuke Jido, Su Houng Lee
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1982992845