Today's Progress 9. May. 2006

PDC tracking - finalization.

Here, E549 PDC tracking is finalized.

Re-timing by PA layer

dt-dx reconstruction for every 3~5 runs

are applied, after "0-th order" PA-PB TOF analysis.

PA-PB TOF analysis toward the PDC retiming procedure

Before the retiming propcedure, we do need to adjust relative time-offsets of PA. That means, we do need PA-PB TOF analysis before retiming ( the retiming procedure is essentially itterative....) Below, the result from run e549 136-141 is developed.

Slewing factors for PB obtained by PA-PB TOF with PA 4. "offset" means the center of Kmu2 peak of slew-corrected-TOFab, hence relative-offset of PB segments. However, when we turn off the PA slewing part, the central position fluctuates EVEN AFTER subtraction of "offset". The "offset'" represent that. Hence, "offset'" is just defined by Kmu2 centracl position after 1st stage PB slewing correction AND "offset" subtraction.
PB arm	ROW	factor up	factor down	resolution (psec)	offset(nsec)/offset'(nsec)	PA 4 factor up	PA 4 factor down	Event Number
L	1	20.3247	15.1257	151.8	-1.255/-0.8698	6.83399	5.46938	1903
L	2	18.8563	15.0869	131.2	-1.091/-0.9068	6.36360	6.21357	2186
L	3	10.5419	21.1585	138.5	-1.193/-0.7195	5.72634	4.33766	2703
L	4	21.1688	16.6213	118.4	-1.293/-0.8399	6.68085	4.92666	3090
L	5	20.4627	15.7269	124.0	-1.283/-0.8548	6.97016	4.74302	3351
L	6	28.9266	5.69822	122.4	-1.338/-0.7739	5.97165	4.51201	3524
L	7	30.015	7.35918	116.0	-1.276/-0.8783	6.39748	5.48691	3664
L	8	25.7903	13.5294	119.2	-1.498/-0.8659	6.021	5.63779	3567
L	9	21.0195	18.388	117.3	-1.350/-0.8531	5.46291	6.084	3773
L	10	22.6574	13.6133	121.3	-1.253/-0.6692	2.56823	6.75048	3622
L	11	20.8014	16.5357	116.2	-1.459/-0.7788	3.81838	7.05225	3536
L	12	24.3617	14.461	113.7	-1.624/-0.8015	3.91983	7.37383	3384
L	13	21.2658	14.5986	115.0	-1.411/-0.8069	4.91432	6.2893	2818
L	14	21.484	14.9908	113.2	-1.221/-0.8528	3.7346	8.63192	2391
L	15	22.5713	14.6161	124.3	-1.312/-0.7985	3.36286	8.33551	1902
L	16	18.6708	16.9887	128.0	-1.444/-0.7556	1.84129	9.82306	1387
L	17	19.443	14.7569	127.8	-1.165/-0.9247	0.60323	14.516	1045
R	1	20.5147	16.0335	123.6	-0.9410/-1.217	12.9966	5.04114	1889
R	2	21.9703	14.6451	113.8	-1.395/-1.073	10.9096	4.71122	2144
R	3	22.1495	13.1877	128.3	-0.9574/-1.054	9.66043	5.42156	2571
R	4	22.797	17.1345	106.0	-1.108/-1.116	8.55211	7.14936	3120
R	5	14.7095	22.0497	107.8	-1.145/-1.163	7.38352	8.67711	3565
R	6	23.3224	12.7693	102.5	-1.187/-1.047	7.96338	6.54039	3513
R	7	17.6189	16.6927	104.4	-1.145/-1.033	7.92125	6.31059	3601
R	8	22.5049	16.1581	103.3	-1.245/-0.9490	7.84365	5.20079	3708
R	9	22.4323	14.8804	104.4	-1.080/-1.039	7.47205	6.7851	3730
R	10	21.5876	15.4675	102.2	-1.337/-1.056	7.22596	7.34291	3848
R	11	20.6221	14.2653	103.7	-1.173/-1.018	6.14753	8.03537	3824
R	12	21.5012	19.1383	99.5	-1.441/-0.9581	5.12587	8.3724	3585
R	13	23.5845	9.58944	106.3	-0.8580/-1.050	3.68765	11.4777	3207
R	14	19.7757	13.2457	106.9	-0.8970/-1.079	6.69389	8.58699	2670
R	15	12.5746	13.4168	133.3	-0.4569/-1.093	3.36551	12.8307	2143
R	16	21.3235	7.51831	116.6	-0.8465/-1.042	3.91082	11.6582	1630
R	17	26.7477	8.76179	109.4	-1.101/-1.052	6.62011	8.6945	1215

Since slewing parameters for PB segments were roughly known by procedure 1, now we can determine PA slewing parameters accurately with full statistics available (from 17 PB segments). The result is tabulatted below.

Slewing factors for PA segments obtained by PA-PB TOF all PB segments
PA arm	ROW	Factor up	Factor down	Resolution (psec)	Offset(nsec)	Used Event Number
L	1	2.82889	10.0385	137.5	-1.3158	24640
L	2	6.15756	6.1389	129.9	0.09498	37318
L	3	5.26219	8.64167	131.1	-0.44908	46784
L	4	5.53659	5.73415	121.0	0.8221	48869
L	5	6.77644	7.3463	127.2	0.7519E-02	49260
L	6	6.52584	5.98086	127.2	0.85172	45995
L	7	6.76082	5.41928	138.1	0.66828	37997
L	8	5.2632	6.29664	143.1	0.83578	24832
R	1	6.40533	7.23156	122.4	0.11975	25965
R	2	5.78172	7.71338	118.7	1.2164	38953
R	3	6.87998	7.9264	119.9	0.60656	48807
R	4	7.3354	7.24056	109.9	1.0456	51541
R	5	6.89373	6.90967	111.9	1.0930	50963
R	6	7.57708	5.64263	123.7	1.4959	47090
R	7	8.36948	4.80296	126.3	1.2059	36786
R	8	7.92892	4.40944	129.6	1.8353	23803

For the PDC retiming purpose, we do not need to accurately know PB parameters. However, PA-PB TOF analysis is finally requirted for the T0 offset tune, hence BLC retiming by T0, therefore, we proceed a little bit more.

Slewing parameters for PB segments are now determined with full statistics (8 PA segments). The result is tabulatted below.

Slewing factors for PB segments obtained by PA-PB TOF with all PA segments
PB arm	ROW	Factor up	Factor down	e peak width (psec)	mu peak width (psec)	pi peak width (psec)	Offset(nsec)	Employed Event Number
L	1	22.0254	17.8018	191.0	140.8	163.5	0.33091	17781
L	2	21.7247	18.9784	178.7	134.7	161.5	0.30541	20652
L	3	9.63984	20.6816	194.3	137.3	161.4	-2.4427	25720
L	4	22.7499	19.3896	174.9	129.3	156.0	-0.48071	29729
L	5	21.1658	18.8166	168.1	127.7	153.1	1.0307	31803
L	6	27.7075	12.9832	170.1	132.0	156.9	-0.90414	33125
L	7	28.4065	11.3479	179.7	125.7	144.8	-0.89182	34669
L	8	20.5838	16.4567	172.3	122.5	143.1	-4.3226	34767
L	9	21.842	15.6881	193.0	124.0	144.6	-2.1870	34961
L	10	19.0876	17.8613	176.8	124.6	148.4	-1.1543	35044
L	11	22.3326	17.209	175.5	121.9	143.2	-3.2570	33955
L	12	23.7708	15.1371	183.7	122.7	143.9	-2.8334	32136
L	13	21.6891	17.1094	161.1	124.8	149.6	-9.2773	27491
L	14	20.4058	17.9719	169.0	125.8	148.7	-7.1869	22718
L	15	23.4199	17.4144	177.9	132.7	155.3	-6.7294	17836
L	16	19.192	17.9971	181.9	141.4	168.6	-6.2905	13183
L	17	19.3201	18.4216	194.9	135.0	184.4	-3.5280	9916
R	1	17.7253	17.0537	167.3	124.6	157.0	-0.99807	17335
R	2	24.0642	16.5891	178.2	121.7	149.5	1.2728	19646
R	3	24.321	15.8231	196.3	130.3	157.2	0.91227	24253
R	4	21.9627	21.0711	154.6	116.1	149.1	-1.9946	29008
R	5	15.3127	21.7088	141.5	112.5	134.3	-0.61896	32039
R	6	22.3852	15.6307	152.2	111.8	140.5	-0.7350	33012
R	7	19.6133	18.2672	161.1	111.6	135.3	-1.6805	34176
R	8	23.1744	17.4438	143.2	113.3	131.5	-2.5853	35020
R	9	23.344	17.3365	138.6	110.7	135.8	-1.9829	34973
R	10	21.3838	17.1075	139.2	108.3	136.7	-2.8580	35809
R	11	21.0188	18.094	153.0	112.9	132.5	-3.3407	35213
R	12	19.6416	21.3658	141.4	111.2	133.8	-1.4205	33996
R	13	21.5638	11.0094	140.7	117.8	141.6	-8.0878	30197
R	14	19.776	16.2455	151.0	116.7	149.8	-6.7419	24916
R	15	16.1759	13.3677	199.5	141.3	148.8	-4.9638	19460
R	16	18.353	14.2674	170.0	127.1	154.8	-6.4262	14956
R	17	23.6113	15.6188	191.4	129.0	170.1	-2.5682	11940

The resulting arm-by-arm 1/beta spectrum from "stop K^+ within the target cell" (fiducial volume + stop K by T0 energy cuts are applied) and the fit results with 3 independent Gaussian functions (9 free parameters) are shown below. The 1/beta widths (P6 parameter: Gaussian sigma) for Kmu2 peak are 0.0225 and 0.0203 for L and R arms, respectively.

Beam Tracking Result

Run-by-run stability of the PDC tracking efficiency per Kst-Charged trigger is shown below. The stability is satisfactory, though several jumps exist - the runs and the reasons are listed as:

run 67 -> pi^- beam run

run 90 -> pi^- beam run

run 108 -> Hardware(Gas? Trigger?) trouble - PDC/BLC bad efficiency/resolution

run 162-164 -> Trigger change - Kst*PA*PB -> Kst*PA

run 279,281 -> Higher pion intensity run

run 291 -> pi^- beam run

run 292 -> pi^-*PA*PB

run 304 -> pi^-*bar(KsV)*VTC

Terminating the dt-dx study, the resulting run-by-run plot of the PDC resolution for "Kst-Charged trigger " is as shown below. Note that PDC can detect the track without PB hit - hence, PDC can detect 1 or 2 track(s) even if the trigger is not Kst-Charged. In the plot, those events are NOT included, and Kst-Charged-triggered events are just selected, Generally, the resulting width of the residual is broadened if we include those events, as we can find the example at run 162~164. It is caused by very hard inclination of those tracks.