The Relativistic Correction To Heavy Quarkonium Production At Tevatron

The production of heavy quarkonium states at high-energy colliders has been the subject of considerable interest during the past few years. A wealth of new experimental results has become available, some of which revealed dramatic shortcomings of earlier quarkonium models.In theory progress has been made on the factorisation between the short-distance physics of heavy-quark creation and the long-distance physics of bound state formation. The colour-singlet model has been superseded by a consistent and rigorous framework, based on the use of non-relativistic QCD (NRQCD)an effective field theory that includes the so-called colour-octet mechanisms。But colour-octet mechanisms also have some problem,somebody consider QCD correctionor relativistic corrections.In this paper Relativistic corrections to the colour-octet J /ψhadroproduction at the Tevatron are calculated in nonrelativistic QCD (NRQCD). The short distance coefficients are obtainedby matching full QCD with NRQCD results for the subprocess g + g→J/ψ+g.The long distance matrix elements are fited with experiment data.Using the CTEQ6 parton distribution functions, we calculate the LO production cross sections and relativistic corrections for the process p + p→J/ψ+g at the Tevatron of 1S 0[8]and 3S 1[8] We find that the enhancement of relativistic corrections to the cross sections is tiny and negligiable, This effect is due to the bigness of the correction to short distance coefficients These results indicate that relativistic corrections can help to resolve the problem of for J /ψexceeding productionat at Tevatron.