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ICE Vs SALT ---- 100 GeV Electron Showers Shahid Hussain Shahid Hussain University of Kansas
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ICE Vs SALT---- Chemical composition: Ice (H2O): Hydrogen: A=1.01, Z=1 Oxygen: A=16, Z=8 Salt (NaCl): Chlorine: A=35.45, Z=17 Sodium: A=22.99, Z=11 salt has larger e- and nucleon density
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ICE Vs SALT---- Some Properties: Dens. g/cm^3 n C.Ang (deg) Radlen (cm) E_th (e) (KeV) Ice 0.921.7855.839.1107 Salt 2.222.4365.7 9.87 49 I have used E_th (kinetic) smaller than 50KeV for both Ice and salt.
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Simulation Results for 100 GeV 100 Showers average for electron initiated showers
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Charge ratio at shower max. Ice/salt =0.63
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Charge ratio at shower max. Ice/salt =0.69
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ICE: SALT: Tracklengths: z is along the shower axis; r is the total track. Ice/salt=2.96 ‘+’ is for +ive charges ‘-’ is for –ive charges
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Expect for field strength: Ice/salt = 0.63*2.96 = 2.0
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Ice/salt=1.82 (at few GHz) Ice is even better below 1GHz.
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Field strength: Ice/salt = 2.3 (at 1.3 GHz) 2.4 (at 0.8 GHz) 2.6 (at 0.3 GHz) Area under the curve: Ice/salt = 1.35 (at 1.3 GHz) 1.29 (at 0.8 GHz) 1.34 (at 0.3 GHz)
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ICE: SALT: z is 43% of r z is 62% of r Lateral spread: Larger lateral spread in Salt
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COMMENTS Lateral spread larger in salt (not satisfied; need to check this carefully with a more powerful test). Shower depth larger in ice (compare to theory using radlens for ice and salt).
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COMMENTS…… Around 1 GHz, R|E|_ice/R|E|_slat=2 (approx.) is consistent with (q_exc*trackl.)_ice/(q_exc*tracll.)_salt =2. At lower frequencies, ice is even better as expected. At higher freqs., the field strength ratio (ice/salt ) reduces to 1.8. Pulse width is larger for salt.
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SUGGESTION A detailed study is needed for a detailed comparison (ice vs. salt) and scaling to higher energies: 1. Need to do more tests on lateral- spread comparison. 2. Simulate some higher energy em and hadronic showers to check energy scaling implied by theory.
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Finally, the pulse strength and width do not tell the whole story of ice –salt comparison; salt will gain a factor of 2.22/0.92 in event rates; ice will gain from larger attenuation lengths.
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The End
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MAGIC NUMBERS: Ice: 43*0.62=26.66 Salt: 62*0.43=26.66 Isn’t it fun!
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