The yield results

 

Table 8.13: The fusion yields Y_dt per stopped $\mu$ in the US (top), MOD (middle) and TOF (bottom) measurements, with corrections due to the energy and the time cuts , , the effects of dd proton , and of N₂ contamination . The Si solid angles from Table 6.5 and the stopping fraction of 0.299(15) are used. Bold-faced values are chosen as our final results.

US	ID	E cut	Si yield					Ydt
(DS)	(ct)	(103 ch)	(10-5/ GMU)		(%/$\alpha$)			(10-3/$\mu$ stop)
3 T$\cdot l$	II-2	2.7; 3.7	5.77(9)	1.0	1.7(9)	.890	.966(34)	9.45(72)
(20)		3.1; 3.7	5.53(8)	.980(3)	n/a			9.24(70)
6 T$\cdot l$	II-3	2.0; 3.7	16.58(14)	1.0	1.8(9)	.886	.966(34)	27.3(20)
(20)		2.7; 3.7	16.28(48)	.975(5)				27.5(22)
14 T$\cdot l$	II-4	1.0; 3.7	42.73(24)	.970(4)	2.1(10)	.884	.966(34)	72.6(54)
(20)		2.0; 3.7	39.80(22)	.920(10)				71.3(54)
14 T$\cdot l$	II-7	1.0; 3.7	43.43(19)	.970(4)	2.1(10)	.884	.976(24)	73.8(55)
(0)		2.0; 3.7	40.98(17)	.920(10)				73.4(55)
14 T$\cdot l$	II-13	1.0; 3.7	45.80(35)	.970(4)	2.1(10)	.884	1.0	75.2(50)
(0)	.2%	2.0; 3.7	43.00(20)	.920(10)				74.4(50)
20 T$\cdot l$	II-16	1.0; 3.7	44.90(16)	.914(16)	2.3(10)	.884	1.0	78.2(53)
(0)	.05%	2.0; 3.7	40.63(14)	.828(29)				78.2(58)

US	ID	E cut	Si yield					Ydt
(T cut)	(ct)	(103 ch)	(10-5/ GMU)		(%/			(10-3/$\mu$ stop)
0 T$\cdot l$	II-1	1; 3.7	25.35(20)	.954(18)	2.6(10)	1.0	.966(34)	36.6(28)
(.3; 6)		2; 3.7	24.04(17)	.903(35)				36.7(31)
3 T$\cdot l$	II-2	1; 3.7	15.38(88)	.954(18)	2.6(10)	1.0	.966(34)	22.5(22)
(.5; 6)		2; 3.7	14.90(50)	.903(35)				23.0(21)
6 T$\cdot l$	II-3	1; 3.7	8.82(90)	.954(18)	2.6(10)	.988	.966(34)	13.1(22)
(.6; 6)		2; 3.7	8.88(52)	.903(35)				13.9(21)
14 T$\cdot l$	II-4	1; 3.7	1.93(11)	.954(18)	2.6(10)	.998	.966(34)	2.85(27)
(.8; 6)		2; 3.7	1.84(7)	.903(35)				2.87(26)
14 T$\cdot l$	II-11	1; 3.7	2.15(12)	.954(18)	2.6(10)	.998	.976(24)	3.14(29)
(.8; 6)		2; 3.7	1.86(7)	.903(35)				2.87(25)

DS	ID	E cut	Si yield					Final Yield
(ct)		(103 ch)	(10-6/ GMU)		(%/			(10-4/$\mu$ stop)
3 T$\cdot l$	II-9	3.51(25)				.969	.976(24)	5.04(50)
(.1%)		(see Table 8.7)
6 T$\cdot l$	II-10	2.0; 3.7	8.55(60)	1.0	2.3(9)	.962	.976(24)	12.4(12)
(.1%)		2.7; 3.7	8.75(51)	.975(4)				13.0(12)
20 T$\cdot l$	II-11	1.0; 3.7	20.7(11)	.954(18)	2.6(10)	.948	.976(24)	31.9(29)
(.1%)		2.0; 3.7	18.24(69)	.903(35)				29.7(26)
3 T$\cdot l$	II-14	3.05(24)				.971	1.0	4.27(54)
(.2%)		(see Table 8.8)
23 T$\cdot l$	II-15	1.0;3.7	23.16(73)	.936(29)	2.8(10)	.948	1.0	34.6(27)
(.2% )		2.0; 3.7	21.08(52)	.876(52)				33.7(31)

 

Table 8.13 summarizes our results for the yield measurements with the corrections discussed in this section and others. Those include the energy cut efficiency , ddproton contribution , the time cut efficiency and nitrogen contamination effects . The dt fusion yield Y_dt is normalized to stopped muons using the stopping fraction 0.299(15) and the target thickness dependent Si solid angle (Table 6.5, p. ). That is,

where Y_Si is the $\alpha$ yield in the Si detector per GMU (averaged over Si1 and Si2), S_H is the stopping fraction, is Si solid angle per detector, and are the various corrections such as the cut efficiencies and N₂ contamination. The final uncertainties quoted in the table include quadratically added errors for these corrections. The results with different energy cuts are mostly consistent with each other. In order to avoid the occasional presence of low energy background, bold-faced values with narrower energy cuts (when more than one is available) are chosen as our final results.

Figure 8.14 plots our final yield results for the US, MOD, and TOF measurements. The comparison of the data taken with different conditions, e.g. with different c_t, requires some caution. For a quantitative understanding, the comparison with Monte Carlo calculations is essential, and will be dealt with in the sections that follow.

  

Figure 8.14: Fusion yield per stopped muon for the US (top), MOD (middle), and TOF (bottom) measurements. The error bars include the absolute normalization error.