2009/06/30 by Hong-Ying Jin, H. Y. Jin, J. Zhang +4
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.81.054021
published as Phys.Rev.D81:054021,2010 · 24pages, six figures and three tables, the version appears in PRD.
openalex publication_date 2010/03/19 · arxiv created 2010/04/23 · arxiv updated 2010/04/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Motivated by the similar mass splitting in light-light and heavy-light JP=0^\ensuremath- and JP=0+ mesons, the SU(3)-symmetry breaking effects splitting the masses in the 0^\ensuremath- and 0+ channels of the D meson are analyzed in the framework of QCD sum rules with an underlying cq structure. We take into account operator mixing to obtain an infrared stable operator-product expansion method including complete nonperturbative and perturbative O(mq) corrections to the correlation function. With the same threshold for both channels, the mass splitting arising from the sum rules has the same behavior as the observed spectrum. In particular, we obtain m_Ds\ensuremath-m_Dd\ensuremath∼35 MeV in the 0^\ensuremath- channel and m_Dd\ensuremath-m_Ds\ensuremath∼12 MeV in the 0+ channel at a renormalization scale \ensuremathμ=1 GeV. The splitting can be attributed to the different roles of mass effects and the parity-dependent ``force'' induced from nonperturbative QCD vacuum. Further analysis shows that due to this parity-dependent force it is natural that the mass gap of the two states in the 0^\ensuremath- channel is larger than the 0+ channel. When we increase the renormalization scale to \ensuremathμ=1.3 GeV the splitting remains unchanged which demonstrates a correct scale invariance. Combined with heavy quark effective theory, generalizations to other channels of charmed mesons and b-systems are briefly discussed.