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Upper limit of the muon-neutrino mass and charged-pion mass from momentum analysis of a surface muon beam

Upper limit of the muon-neutrino mass and charged-pion mass from momentum analysis of a surface... We have determined the momentum p μ + of muons from the decay π + → μ + ν μ at rest, by analyzing a surface muon beam in a magnetic spectrometer equipped with a silicon microstrip detector. The result p μ + = ( 29.792 00 ± 0.000 1 1 ) MeV/ c leads to a squared muon-neutrino mass of m ν μ 2 = ( - 0.016 ± 0 . 0 2 3 ) Me V 2 , which corresponds to a "laboratory" upper limit of 0.17 MeV (C.L.=0.9) for the muon-neutrino mass. The cosmological upper limit of the neutrino mass (65 eV), the muon mass, and the new value of p μ + yield the pion mass m π + = ( 139.570 22 ± 0.000 1 4 ) MeV. Alternatively, if one does not use the cosmological upper limit of m ν μ , then a combined fit including the new p μ + value, and the m μ + and m π - values from other experiments and the CPT theorem ( m π + = m π - ) leads to m π ± = ( 139.570 37 ± 0.000 2 1 ) MeV. As a side result, the mean kinetic energy of the pions stopped in the production target, made of isotropic graphite, immediately before their decay is found to be T π + ― = ( 0.425 ± 0 . 0 1 6 ) eV. This is consistent with the hypothesis that the pions are trapped in the potential well of a spherical harmonic oscillator, V ( r ) = V 0 + 1 2 k s r 2 , with k s = ( 1.144 ± 0 . 0 8 8 ) × 10 17 eV/ cm 2 . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Upper limit of the muon-neutrino mass and charged-pion mass from momentum analysis of a surface muon beam

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1996 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.53.6065
Publisher site
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Abstract

We have determined the momentum p μ + of muons from the decay π + → μ + ν μ at rest, by analyzing a surface muon beam in a magnetic spectrometer equipped with a silicon microstrip detector. The result p μ + = ( 29.792 00 ± 0.000 1 1 ) MeV/ c leads to a squared muon-neutrino mass of m ν μ 2 = ( - 0.016 ± 0 . 0 2 3 ) Me V 2 , which corresponds to a "laboratory" upper limit of 0.17 MeV (C.L.=0.9) for the muon-neutrino mass. The cosmological upper limit of the neutrino mass (65 eV), the muon mass, and the new value of p μ + yield the pion mass m π + = ( 139.570 22 ± 0.000 1 4 ) MeV. Alternatively, if one does not use the cosmological upper limit of m ν μ , then a combined fit including the new p μ + value, and the m μ + and m π - values from other experiments and the CPT theorem ( m π + = m π - ) leads to m π ± = ( 139.570 37 ± 0.000 2 1 ) MeV. As a side result, the mean kinetic energy of the pions stopped in the production target, made of isotropic graphite, immediately before their decay is found to be T π + ― = ( 0.425 ± 0 . 0 1 6 ) eV. This is consistent with the hypothesis that the pions are trapped in the potential well of a spherical harmonic oscillator, V ( r ) = V 0 + 1 2 k s r 2 , with k s = ( 1.144 ± 0 . 0 8 8 ) × 10 17 eV/ cm 2 .

Journal

Physical Review D – American Physical Society (APS)

Published: Jun 1, 1996

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