The Channeling of 35-GeV/c, 100-GeV/c, and 250-GeV/c Mixed Beams of Pions, Kaons, and Protons in a 2-CM Thick Germanium Single Crystal
- Lehigh U.
In an analysis of high energy particle channeling data, the <110> axial and (111) planar channeling distribution widths were found to scale as $$1/\sqrt{E}$$ (Lind.hard Theory) for 35, 100, and 250 GeV/c beam particles incident on a 2 cm thick hyperpure Germanium single crystal. The width of the blocking dip around the <110> axis direction also scaled as $$1/\sqrt{E}$$ (Lindhard Theory) . The radial component of the transverse motion of the <110> axially channeled particles was explained by the diffusion equation. The azimuthal component of the transverse motion exhibited complete statistical equilibrium for channeled and quasi-channeled particles, leading to the doughnut effect in the quasichanneling incident angle region. The inward shift of the transverse energy for 250 GeV/c momentum at 3.5 $$\sim 1$$ (where $$\sim 1$$ is the Lind.hard critical angle) suggested that "cooling" may be observed for an $$\sim 3$$ TeV/c beam along the <110> axis direction in a 2 cm thick Germanium crystal. The density effect and the restricted energy loss of the delta rays were important corrections in the calculations of the mean stopping power for random orientation of the crystal. The stopping power corresponding to the intercept on the low energy side of the energy loss distribution of the well channeled particles were compared with Esbensen and Golovchenko's calculation. The mean energy loss of the channeled particles as a function of their incident angle followed the functional form predicted by Lind.hard. The negative particles behaved quite differently from the positive particles. The 35 GeV/c negative particles showed a broad dip ($$\sim 3 \psi_1$$ ) around the <110> axis position for low energy loss particles. The particles going along. the <110> axis direction exhibited higher than average energy loss. There was statistical equilibrium in the azimuthal component of the transverse motion for zero to $$2\psi_1$$ incident angles. The negative particles showed greater radial scattering for particles incident at small angles to the <110> axis direction compared to positive particles .
- Research Organization:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- DOE Contract Number:
- AC02-07CH11359
- OSTI ID:
- 1434682
- Report Number(s):
- FERMILAB-THESIS-1980-22; UMI-81-02502; LEH-HEP-80-9-1; 160057
- Country of Publication:
- United States
- Language:
- English
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