Absolute Upsilon Cross Sections and Gluons in the Nucleon

Both protons and neutrons are composed of fundamental particles called quarks bound together by the exchange of particles known as gluons.  (They "glue" the quarks together in the proton or neutron.)  The proton contains two "up" (u) and one "down"(d) valence quarks, while the neutron contains one u and two d valence quarks.  By interchanging the u and d quarks in a nucleon, one changes from a proton to a neutron and vice versa.  This relationship is known as isospin symmetry.   Since gluons interact in the same way with up and down quarks, it is believed but not experimentally verified that the distribution of gluons in the proton and neutron are identical.

The gluon content of a proton or neutron can be probed by measuring processes that occur through the interactions of gluons in a beam and a target particle.  The production of the Upsilon (ϒ) mesons is such a process.  (The ϒ consists of a "bottom"and an anti-"bottom" quark pair.  The (anti-)bottom quark is too massive to exist within a nucleon.)   A comparison of the rate of ϒ production with proton and neutron targets is then a comparison of the gluon content of those targets.  Using an energetic proton beam and hydrogen (proton) and deuterium (one proton and one neutron) targets, the E866/NuSea experiment at Fermilab was able to do this.  E866/NuSea isolated the ϒ by studying the invariant mass of its decay products (muons).  From this, the number of produced ϒ's was extracted and the ratio of ϒ production on protons to ϒ production on neutrons determined.  These data showed that the gluon content of the proton and the neutron are indeed very similar.   This work was published in Physical Review Letters in 2008 (Phys. Rev. Lett. 100 062301 (2008), arXiv:0710.2344).
 
The ratio of Upsilon production on deuterium to hydrogen is shown (black circles) and is consistent with unity.  Also shown is the same ratio for Drell-Yan production.  The Drell-Yan mechanism is sensitive to the antiquark flavor in the nucleon, showing a large difference between the proton and neutron antiquark distributions.             The invariant mass spectrum of muon pairs detected by E866/NuSea is shown. The prominent peak at 9.5 GeV is the Upsilon.

   Figure: The invariant mass spectrum of muon pairs detected by E866/NuSea is shown on the left. The prominent peak is at 9.5 GeV is the ϒ.  The ratio of ϒ production on deuterium to hydrogen is shown on the right (black circles) and is consistent with unity.  Also shown is the same ratio for Drell-Yan production.  The Drell-Yan mechanism is sensitive to the antiquark flavor in the nucleon, showing a large difference between the proton and neutron antiquark distributions.   


Paul E. Reimer
reimer@anl.gov
9 February 2009