Abstract
We discuss hadron-tomography studies for the nucleon and exotic hadrons by high-energy hadron reactions. First, the constituent-counting rule is explained for determining internal quark configurations of exotic-hadron candidates by scaling properties of high-energy exclusive cross sections. Next, possibilities are discussed for investigating the generalized parton distributions (GPDs) of the nucleon and exotic hadrons at J-PARC. In particular, we study hadronic $2 \to 3$ process $p+p \to N+\pi+B$, exclusive Drell-Yan process, and exotic-hadron GPDs. For determining three-dimensional structure of unstable exotic hadrons, we consider $s$-$t$ crossed quantities of the GPDs called generalized distribution amplitudes (GDAs), which can be investigated at KEKB. We explain possible studies of the GDAs by two-photon processes.
Highlights
Internal structure of the nucleon has been investigated for a long time by lepton and hadron scattering processes at various energies, and major properties are understood
This estimate is intended for a J-PARC proposal, and actual generalized parton distributions (GPDs) should be determined from future measurements at J-PARC together with other data including DVCS ones
It became crucial to investigate the 3D structure functions for finding the original of nucleon spin including partonic orbital-angular-momentum contributions. One of such 3D structure functions is the GPDs which have been investigated by the DVCS so far
Summary
Internal structure of the nucleon has been investigated for a long time by lepton and hadron scattering processes at various energies, and major properties are understood. It became necessary to establish three-dimensional (3D) picture of the nucleon, and this field is called hadron tomography It is under active investigations through the 3D structure functions of generalized parton distributions (GPDs) and transverse-momentum-dependent parton distributions (TMDs). Since there is no stable exotic hadron, the direct GPD studies do not seem to be possible for exotic hadrons, except for transition GPDs such as the ones from the nucleon to an exotic hadron In this respect, the GDAs could be appropriate 3D structure functions for studying exotic hadrons [4] because an exotic-hadron pair could be produced in the final state even for an unstable hadron.
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