Hadron constituents ande+e−colliding-beam experiments

In order to test the idea that hadrons are made out of some fundamental constituents, it is most important to state precisely, in a general way, what we mean by the hadronic constituents. We call the constituents partons and state a set of basic assumptions. They are weaker than any of the assumptions previously used in connection with the model. With these assumptions, we show that if R? r(e+ehadrons)/a(e+e/J+p-) increases faster than or equal to log Q/M at large Q, ‘then the multiplicity of hadrons in e+ehadrons must increase at least as fast as z /log $I. Q is the center of mass energy of the colliding beam, The increase in R with Q, itself, does not violate the basic concept of the parton model. If above relations between the increase in the cross section and the multiplicity is contradicted by experiments at large Q, however, the parton model requires a major overhaul. (Submitted to Physics Letters) t Supported in part by the U. S. Atomic Energy Commission. * Permanent Address: National Accelerator Laboratory, P.O. Box 500, Balavia, Illinois 60505. The parton model has generated great interest in connection with the deep inelastic lepton nucleon scattering and e+eannihilation process. There are various different versions of the parton model, some of them, due to their simplified nature, predict various dramatic effects. It is important to obtain a set of most reasonable assumptions of the model and understand their consequences. We will state the assumptions required to prove Bjorken scaling for the structure functions of the deep inelastic ep scattering as well as those of e+eannihilation into one hadron plus anything. Using the scaling property, we obtain a relationship between the multiplicity of hadrons in e+eannihilation and the energy dependence of R. These have severe experimental consequences. The assumptions we use are weaker than any of the assumptions previously used. And they are of such a general character that if their consequences contradict experiments, it will force us to modify the basic ideas of the parton model, We stress however that the increase of R with Q2 is not directly in contradiction with these assumptions. The parton model assumptions are: (a) There is some underlying field theory which governs the hadronic physics. The bare particles of the field theory are called partons. (b) The wave functions for a hadron state to be in a certain state of partons and for a parton state to be in a certain state of hadrons are well defined. ’ (b. 1) Define