Time reversal invariance in polarized neutron decay by Eric Gordon Wasserman

By Eric Gordon Wasserman

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The other two walls held scintillators for detecting the positrons. The neon polarization was orthogonal to the axes joining the opposing walls. Although its coincidence detection efficiency was higher, the neon density and thus the decay rate in the cell was lower. The coincidence rate was about 50 per second. 0010. In the most recent experiment, by Hallin et al. [Hal84], the coincidence efficiency was increased to nearly unity using a cylindrical storage cell. See Figure 2-9. The ion was accelerated toward the 36 cell's end by an axial electric field.

20 J They are able to produce high intensity beams of "cold" neutrons whose wavelengths are predominantly between 1 and 10/_,. The spectral density of neutrons dp/dv in a beam is the number of neutrons per unit volume in a unit velocity range about v. The beam's flux density written in terms of the spectral density is ¢(v) = (dp/dv) v. So the neutron density, the number of neutrons per unit volume in the beam, is related to these densities by V To a good approximation nuclear capture cross sections for low energy (<1 eV) neutrons vary inversely with the velocity.

002 _21nL) o=b } (3-2) where 0 is the maximum likelihood estimate value of the parameter 0. In a multiple parameter fit, ,he inverse of the second derivative matrix (/)2) ij _0i30. lnL (3-3) is the covariance or error matrix E = D21 . (3-4) The standard error in each fitted parameter Ok is given by the square-root of the kta diagonal element of the covariance matrix. The maximum likelihood method estimates the parameters with minimum variance only in the asymptotic limit. For a finite sample the asymptotic approximation must verified.

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