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![Page 1: Neutron Lifetime Review: Status and future J. David Bowman Oak Ridge National Laboratory The 4th International Workshop on the CKM Unitarity Triangle December.](https://reader035.fdocuments.in/reader035/viewer/2022062619/55151b9a550346a87d8b4f79/html5/thumbnails/1.jpg)
Neutron Lifetime Review: Status and
futureJ. David Bowman
Oak Ridge National Laboratory
The 4th International Workshop on the CKM Unitarity Triangle
December 12-16, 2006Nagoya University
Nagoya, Japan
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Neutron Lifetime
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Neutron Lifetime
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Beam Method
Neutron beam
Decay volume(Length L)
Count decay electronsor protons (detection rate Nd)
Thin neutroncounter(reaction rate Nn,crosssection 0 at v0)
€
Nd =1
τ nN
€
Nd =1
τ n[LNnσ 0v0(ρx)]
Problem: Decay volume length and neutron flux measurement
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Bottle Method
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N(t) = N(0)exp(−t /τ n )
Problem: neutrons lost through interactions with the wall
UCN’s
Neutron detector
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Existing measurements from PDG
1. Dewey, 03 886.7 ± 1.2 ± 3.2 s– In-beam Penning trap
2. Arzumanov, 00 885.4 ± 0.9 ± 0.4 s 04 879 ±
1 s– UCN material trap
3. Byrne, 90/96 889.2 ± 3.0 ± 3.8 s– In-beam Penning trap
4. Mampe, 93 882.6 ± 2.7 s– UCN material trap
Wt. Ave. (excluding 2) 886.7 ± 1.8 s
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Measurement of the neutron lifetime using a gravo-
magneto trap• We want to measure the neutron lifetime to a part in 104 to test CKM unitarity using n and the A and/or a correlations.
• Modern measurements have uncertainties of 1-2 sec but are inconsistent– Material bottles– Decay of cold beams– NIST quadrupole-super fluid-He trap
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End of introduction
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Permanent-Magnet Trap with Guide-Field Coils and Yoke
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Finite Halbach Arrays
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Experimental problems
• Interactions of neutrons with matter• Neutron losses due to spin-flip transitions
• Quasi-stable orbits• Statistics
– 108 events for 10-4 uncertainty in – Efficient collection of betas
• Activation of trap during filling• Filling time << neutron lifetime
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Robustness of cleaning strategy
• It is necessary to eliminate quasi-trapped orbits. These orbits are not energetically trapped and they may leave the trap in times ~ neutron lifetime.
• There are two limiting types of motion in the trap– A smooth trap gives deterministic orbits– An irregular trap gives chaotic orbits
• We have devised a strategy that works for both limits and in between
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Scaling parameter for chaos, =ah/d2
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€
Deterministic case
a = .01
h0 = .5
period = 6h0
λ = 2.210−3
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Transitional case
a = .01
h0 = .5
period = 2h0
λ = 510−3
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Chaotic case
a = .01
h0 = .5
period = 2 3h0
λ = 4.510−2
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Halbach ripples
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Replace the potential with a reflecting boundary.
a = .00062 meters, p = .0125 meters, ξ =ah
p2= 1.98!
The trajectories are strongly chaotic.
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Neutron interactions with matter
• After the trap is filled and cleaned, the neutrons interact only with gravity and magnetic fields.
• There is no interaction with matter if the vacuum is < 10-5 Torr.
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Spin-flip losses
• The Halbach field and the guide field are everywhere orthoginal. They add in quadrature. There are no zeros. The adiabaticity parameter is very large.
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Statistical uncertainty in
€
~
1
N
For a UCN density of 100 per cc we expect 4 105 neutrons per fill.
Assume that we count for 3 lifetimes and refill the trap every hour.
3 hours are required for a 10-3 measurement and 300 for 10-4.
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Collection of betas
• The toroidal field guides a large fraction of the betas to the detector.
• The gradBB drift is small, a few cm.
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Activation during filling
• Neutrons may interact with matter while the trap is being filled.
• To measure the activation, go through the sequence of fill, clean, and count, but after cleaning insert a CH2 absorber. CH2 absorbs, but does not become activated.
• Any counts observed are from activation
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Filling time
• The filling time is less than a minute << neutron lifetime.
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Conclusions
• We have a conceptual design for a gravo-magnetic UCN trap to measure the neutron lifetime to 10-4 in a few hundred hours provided UCN densities of 100/cc are available
• We use chaos to eliminate troublesome quasi trapped orbits
• The trap and experiment design eliminates systematic uncertainties as discussed above