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Diffractive Mass Dependence

Although rapidity gap studies can be used to gain some insight into the nature of the pomeron, these studies can be vastly improved through the addition of a Forward Proton Detector (FPD). Tagging the forward proton removes the ambiguity of a rapidity gap tag, which suffers from background due to low multiplicity non-diffractive events. This removes the need for fitting multiplicity distributions to determine the non-diffractive background (as shown in Fig. 3). The rapidity gap tag also does not give information on whether the scattered proton remains intact or is excited into a low-mass state, which could still yield a rapidity gap.

By detecting the scattered proton, one can measure its momentum (p) and thus derive two key variables tex2html_wrap_inline2922, the fractional longitudinal momentum of the scattered proton, and tex2html_wrap_inline2924, the four-momentum transfer to the proton. Rapidity gap techniques do not give access to these two variables and thus lose important information about the diffractive process. The momentum fraction of the pomeron (tex2html_wrap_inline2926) is simply related to the momentum fraction of the proton by tex2html_wrap_inline2928. A measurement of the proton momentum thus gives the diffractive mass tex2html_wrap_inline2930 through the equation tex2html_wrap_inline2932, where tex2html_wrap_inline2830 is the center-of-mass energy.

  figure264
Figure 5: (a) A plot of dN/dtex2html_wrap_inline2938 which is a good approximation to the |t| distribution for single diffraction. (b) The solid curve shows an approximation to the tex2html_wrap_inline2942 dependence of CDF single diffractive data. The dashed curve shows an estimate of the non-pomeron exchange background.

Figure 5(a) shows the |t|-dependence of single diffraction, which has been measured to be tex2html_wrap_inline2946, where tex2html_wrap_inline2948 for single diffraction at tex2html_wrap_inline2864 GeV [21]. The exact slope has a mild dependence on tex2html_wrap_inline2830 and tex2html_wrap_inline2930. For elastic scattering, the cross section drops even more steeply with tex2html_wrap_inline2956 [22]. Figure 5(b) shows the tex2html_wrap_inline2926 dependence of diffraction, where the curves are approximations to the tex2html_wrap_inline2864 GeV data in Ref. [21]. The solid curve is sharply peaked at tex2html_wrap_inline2962 (the beam energy), with some smearing due to the 0.1% momentum resolution and a tail to higher tex2html_wrap_inline2926 values (the distribution for elastic scattering does not have the higher tex2html_wrap_inline2926 tail). The dashed curve is an estimate of the non-pomeron exchange background. Pomeron exchange is typically assumed to dominate over other exchanges in the region where tex2html_wrap_inline2968 (tex2html_wrap_inline2970), which implies a maximum mass of tex2html_wrap_inline2972 GeV/tex2html_wrap_inline2974 for the Tevatron in Run II (tex2html_wrap_inline2976 GeV).gif

The ability to obtain large data samples and divide the data into mass bins facilitates the comparison of the data with theory in the form of phenomenological Monte Carlos, and allows studies of the pomeron structure in the pomeron-proton center-of-mass.


next up previous contents
Next: Momentum Transfer Dependence Up: Physics Topics Accessible with Previous: Physics Topics Accessible with

Gilvan Alves
Tue Mar 17 12:50:26 GRNLNDST 1998