KS, KL BEAM DEFINITION (schematic)

Both the KL and KS beams are produced in 400 mm long Beryllium targets, followed by collimators that define the acceptance. In the figure and tables below, we show schematically the quantities involved and we give the relevant formulae and parameters. The original calculations for the proton beam emittances are compared with the observed values in 1997 and 1998.

The uncertainty on the coefficient in the exponential with the p²theta² term is of the order of ±0.3.

VALIDITY	BEAM	HORIZONTAL RMS		VERTICAL RMS		CENTRAL PRODN ANGLE	L	APERTURE
		x (mm)	x' (mm)	y (mm)	y' (mm)	Theta (mrad)	(m)	Phi (mm)
Model	KL :	0.2	0.4	0.3	0.1	2.4	40.62	12.2
	KS :	0.2	0.02	0.3	0.1	-4.2	4.80	3.6
1997	KL :	0.13	0.35	0.16	0.15	2.4±0.06	40.62	12.2
	KS :	0.22	0.013	0.20	0.13	-4.2±0.10	4.80	3.6
1998	KL :	0.11	0.52	0.15	0.16	2.4±0.06	40.62	12.2
	KS :	0.29	0.020	0.20	0.12	-4.2±0.10	4.80	3.6
1999	KL :	0.10	0.7	0.17	0.13	2.4±0.06	40.62	12.2
	KS :	0.3	0.02	0.3	0.15	-4.2±0.10	4.80	3.6