Structure functions in the polarized Drell-Yan processes with spin-1/2 and spin-1 hadrons. I. General formalism
- 12 April 1999
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 59 (9)
- https://doi.org/10.1103/physrevd.59.094026
Abstract
We discuss general formalism for the structure functions which can be investigated in the polarized Drell-Yan processes with spin-1/2 and spin-1 hadrons. To be specific, the formalism can be applied to the proton-deuteron Drell-Yan processes. Because of the spin-1 nature, there are new structure functions which cannot be studied in the proton-proton reactions. Imposing Hermiticity, parity conservation, and time-reversal invariance, we find that 108 structure functions exist in the Drell-Yan processes. However, the number reduces to 22 after integrating the cross section over the virtual-photon transverse momentum Q_T or after taking the limit Q_T->0. There are 11 new structure functions in addition to the 11 ones in the Drell-Yan processes of spin-1/2 hadrons. The additional structure functions are associated with the tensor structure of the spin-1 hadron, and they could be measured by quadrupole spin asymmetries. For example, the structure functions exist for "intermediate" polarization although their contributions vanish in the longitudinal and transverse polarization reactions. We show a number of spin asymmetries for extracting the polarized structure functions. The proton-deuteron reaction may be realized in the RHIC-Spin project and other future ones, and it could be a new direction of next generation high-energy spin physics.Comment: 16 pages, REVTeX, amsmath.sty, epsfig.sty, revtex.cls, 6 eps figures. Submitted for publication. Complete postscript file is available at http://www2.cc.saga-u.ac.jp/saga-u/riko/physics/quantum1/structure.html Email: 97sm16@edu.cc.saga-u.ac.jp, kumanos@cc.saga-u.ac.jKeywords
Other Versions
This publication has 31 references indexed in Scilit:
- Drell-Yan non-singlet spin cross sections and spin asymmetry to O(αs2) (II)Nuclear Physics B, 1998
- Spin-dependent Drell-Yan in QCD to O(αs2) (I). The non-singlet sectorNuclear Physics B, 1998
- QCD corrections to the spin-dependent Drell-Yan process and a global subtraction schemePhysical Review D, 1996
- One-loop corrections to lepton-pair production by transversely polarized hadronsPhysics Letters B, 1994
- Drell-Yan dimuon production with transversely polarized protonsPhysical Review D, 1993
- Sum rule for the spin-dependent structure functionfor spin-one hadronsPhysical Review D, 1990
- Novel effects in deep inelastic scattering from spin-one hadronsNuclear Physics B, 1989
- A measurement of the spin asymmetry and determination of the structure function g1 in deep inelastic muon-proton scatteringPhysics Letters B, 1988
- High-momentum-transfer processes with polarized deuteronsNuclear Physics A, 1983
- Radiative corrections to the helicity asymmetries for the Drell-Yan process in QCDNuclear Physics B, 1983