The gluonic condensate from the hyperfine splitting $M_{\rm cog}(χ_{cJ})-M(h_c)$ in charmonium

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

9 pages revtex 4, no figures

Scientific paper

The precision measurement of the hyperfine splitting $\Delta_{\rm HF} (1P, c\bar c)=M_{\rm cog} (\chi_{cJ}) - M(h_c) = -0.5 \pm 0.4$ MeV in the Fermilab--E835 experiment allows to determine the gluonic condensate $G_2$ with high accuracy if the gluonic correlation length $T_g$ is fixed. In our calculations the negative value of $\Delta_{\rm HF} = -0.3 \pm 0.4$ MeV is obtained only if the relatively small $T_g = 0.16$ fm and $G_2 = 0.065 (3)$ GeV${}^4$ are taken. These values correspond to the ``physical'' string tension $(\sigma \approx 0.18 $ GeV$^2$). For $T_g \ge 0.2$ fm the hyperfine splitting is positive and grows for increasing $T_g$. In particular for $T_g = 0.2$ fm and $G_2 = 0.041 (2)$ GeV${}^4$ the splitting $\Delta_{\rm HF} = 1.4 (2)$ MeV is obtained, which is in accord with the recent CLEO result.

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

The gluonic condensate from the hyperfine splitting $M_{\rm cog}(χ_{cJ})-M(h_c)$ in charmonium 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 The gluonic condensate from the hyperfine splitting $M_{\rm cog}(χ_{cJ})-M(h_c)$ in charmonium, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The gluonic condensate from the hyperfine splitting $M_{\rm cog}(χ_{cJ})-M(h_c)$ in charmonium will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-146588

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