SU(3)-symmetry breaking effects and mass splitting in scalar and pseudoscalar $D^{+}$ mesons from QCD sum rules

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

24pages, six figures and three tables, the version appears in PRD.

Scientific paper

10.1103/PhysRevD.81.054021

Motivated by the similar mass splitting in light-light and heavy-light meson system in $J^{P}=0^{-}$ and $J^{P}=0^{+}$ channel, taking into account the operator mixing to obtain an infrared stable OPE as well as a complete both non-perturbative and perturbative $\mathcal {O}(m_{q})$ corrections to the correlation function, the SU(3)-symmetry breaking effects in mass splitting in $0^{-}$ and $0^{+}$ channel of $D$ meson are analyzed by QCD sum rule approach based on a $c\bar{q}$ underlying structure. Within the sum rule we get, taking same threshold and Borel window for same channel, we find a correct mass splitting tendency in both channel which agrees with observed spectrum. We find $m_{D_{s}}-m_{D_{d}}\sim35\rm{MeV}$ in $0^{-}$ channel and $m_{D_{d}}-m_{D_{s}}\sim12\rm{MeV}$ in $0^{+}$ channel at scale $\mu=1\rm{GeV}$. These splitting can be accommodated with the different role of combination of mass effects and the parity-dependent "force" induced from non-perturbative QCD vacuum. When we scale up to $\mu=1.3\rm{GeV}$, the splitting remains unchanged which demonstrates a correct scale invariance. Combined with HQET, generalization to other channel of charmed meson and $b$-system are discussed briefly also.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

SU(3)-symmetry breaking effects and mass splitting in scalar and pseudoscalar $D^{+}$ mesons from QCD sum rules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with SU(3)-symmetry breaking effects and mass splitting in scalar and pseudoscalar $D^{+}$ mesons from QCD sum rules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SU(3)-symmetry breaking effects and mass splitting in scalar and pseudoscalar $D^{+}$ mesons from QCD sum rules will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-64566

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.