<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>γ</mml:mi></mml:math>-Neutrino Angular Correlations in Muon Capture

Miller, Glenn H.; Eckhause, M.; Kane, F.R.; Martin, P.; Welsh, R. E.

doi:10.1103/physrevlett.29.1194

Cited by 33 publications

(45 citation statements)

References 13 publications

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“…In the latter case, Woods-Saxon wavefunctions (WS wf) have been used and the results within the (0 + 1 + 2 + 3)hω model space (in brackets) are obtained by extrapolation. [16] (3.8) RPA 5.63 QRPA 9.08 CRPA [21] 5.4(5.6) EXP 5.4 ± 1.9 [8] 5.7 ± 0.6 ± 0.6 [7] 5.1 ± 0.8 [9] µ − ( 12 C, 12 Bgs)νµ (10 4 s −1 ) SM(HO wf) (0 + 1 + 2)hω 0.50 SM(HF wf) (0 + 1 + 2)hω 0.48 SM(WS wf) (0 + 1 + 2)hω [16] 0.66 RPA 2.54 CRPA [21] 2.37(2.43) EXP 0.62 ± 0.03 [43] VII. Contribution of the most important multipolarities J π to the inclusive (νµ, µ − )DIF cross sections < σ > f (10 −40 cm 2 ), within the RPA, QRPA and SM approaches.…”

Section: Discussionmentioning

confidence: 99%

Microscopic theories of neutrino-12Creactions

et al. 2000

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In view of the recent experiments on neutrino oscillations performed by the LSND and KARMEN collaborations as well as of future experiments, we present new theoretical results of the flux averaged 12 C(νe, e − ) 12 N and 12 C(νµ, µ − ) 12 N cross sections. The approaches used are charge-exchange RPA, charge-exchange RPA among quasi-particles (QRPA) and the Shell Model. With a large-scale shell model calculation the exclusive cross sections are in nice agreement with the experimental values for both reactions. The inclusive cross section for νµ coming from the decay-in-flight of π + is 15.2 × 10 −40 cm 2 (when Hartree-Fock wavefunctions are used), to be compared to the experimental value of 12.4 ± 0.3 ± 1.8 × 10 −40 cm 2 , while the one due to νe coming from the decay-at-rest of µ + is 16.4 × 10 −42 cm 2 which agrees within experimental error bars with the measured values. The shell model prediction for the decay-in-flight neutrino cross section is reduced compared to the RPA one, namely 19.2 × 10 −40 cm 2 . This is mainly due to the different kind of correlations taken into account in the calculation of the spin modes (in particular, because of the quenching in the 1 + channel) and partially due to the shell-model configuration basis which is not large enough, as we show using arguments based on sum-rules. Results for exclusive and inclusive muon capture rates and beta decay are given and are close to the experimental findings.

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Section: Discussionmentioning

confidence: 99%

Microscopic theories of neutrino-12Creactions

et al. 2000

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“…Because only the µ − captures, we gain a factor of two. In addition, only 19% of these events, appear in the E vis window, and only about 17% of µ − captures on carbon result in the ground state of 12 B [39,40]. Therefore, the rate of 12 B decays from µ − capture is about 5×10 −5 Hz.…”

Section: Stopping-muon-induced 12 Bmentioning

confidence: 99%

Precision measurement ofsin2θWat a reactor

2005

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This paper presents a strategy for measuring sin 2 θW to ∼1% at a reactor-based experiment, using νe elastic scattering. This error is comparable to the NuTeV, SLAC E158, and APV results on sin 2 θW , but with substantially different systematic contributions. The measurement can be performed using the near detector of the presently proposed reactor-based oscillation experiments. We conclude that an absolute error of ∼ δ(sin 2 θW ) = 0.0019 may be achieved. This paper outlines a method for measuring sin 2 θ W (Q 2 ≈ 0) at a reactor-based experiment. The study is motivated by the NuTeV result, a 3σ deviation of sin 2 θ W from the Standard Model prediction [1], measured in deep inelastic neutrino scattering (Q 2 = 1 to 140 GeV 2 , Q 2 ν = 26 GeV 2 , Q 2 ν = 15 GeV 2 ). Various Beyond-the-Standard Model explanations have been put forward [2,3,4], and, to fully resolve the issue, many require a follow-up experiment which probes the neutral weak couplings specifically with neutrinos, such as the one described here.This proposed measurement is also interesting as an additional precision study at Q 2 = 4×10 −6 GeV 2 . The two existing low Q 2 measurements are from atomic parity violation (APV) [5], which samples Q 2 ∼ 10 −10 GeV 2 ; and SLAC E158, a Møller scattering experiment at average Q 2 = 0.026 GeV 2 [6]. Using the measurements at the Z-pole with Q 2 = M 2 z to fix the value of sin 2 θ W , and evolving to low Q 2 , Fig. 1 shows that these results are in agreement with the Standard Model. However, the radiative corrections to neutrino interactions allow sensitivity to high mass particles which are complementary to the APV and Møller scattering corrections. Thus, this proposed measurement will provide valuable additional information.The technique we employ uses the rate of the purely leptonic νe scattering to measure sin 2 θ W . This signal was first detected by Reines, Gurr, and Sobel [7], who measured sin 2 θ W = 0.29 ± 0.05. In this paper, we explore what is necessary to improve on their idea and make a competitive measurement today. One important step is to normalize the νe "elastic scatters" using the νp inverse beta decay events, to reduce the error on the flux. Other crucial improvements are that the detector is located beneath an overburden of ∼300 mwe (meters, water-equivalent) and built in a clean environment. We find that a measurement of ±0.0020 is achievable. This is comparable to the NuTeV error of ±0.00164, and may help clarify the theoretical situation, as shown in references [8,9].The proposed design employs spherical scintillator oil detectors similar to those used by CHOOZ [10] and by other experiments which have been proposed to measure the oscillation parameter θ 13 [11].This style of detector has been optimized to reconstruct νp → e + n events, which dominate the rate when

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“…In summary, the existing OMC data on gp/ga in the nucleus is based on only three nuclei using three different techniques. The results appear to indicate values of gp/ga somewhat above the Goldberger-Treiman value, but more work is needed on both experiment and theory before definitive conclusions can be made about any [38] 10-11^ Miller et al [40] 12 c K [37] 8.5 ± 2.5 Roesch et al [41,42]…”

Section: Ordinary Muon Capturementioning

confidence: 99%

“…J> 12 C 5) )) [43] [44] [38] 9.4 ± 1.7 7.2 ± 1.7 9.1 ± l.S Guichon et al [45]; Hamel et al [46] 16Q [47] 11-12 Miller et al [48] 28 SI V -7 [35,36] [ 49] 12.9 ± 3.9 -1.9 ± 3.1 possible renormalization effects.…”

Section: )mentioning

confidence: 99%

“…Various observables in the RMC process are expected to be sensitive to gp , including the rate (or branching ratio), the shape of the photon spectrum (to a smaller extent), the asymmetry of the photons with respect to the muon-spin axis Because of the formidable difficulty of measuring RMC on hydrogen, experimental (and theoretical) effort to date has concentrated on complex nuclei where the muon capture probability is higher, e.g. 40 Ca where 85% of muons stopping in the target will capture. Effort has also been concentrated on double closed-shell nuclei (e.g.…”

Section: H'+p-^n + U^ + J (138)mentioning

confidence: 99%

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Radiative muon capture on carbon, oxygen, and calcium

Armstrong¹,

Ahmad²,

Burnham³

et al. 1991

Phys. Rev. C

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The photon energy spectra fro111 radiative xxluon captBle on C, 0, and Ca llave bee11 measured using a. time projection chamber as a pair spectrometer. The branching ratio for radiative muon capture is sensitive to g", the induced pseudoscalar coupling constant of the weak interaction, Expressed in terms of the axial-vector weak coupling constant g, values of g"/go = 5.7 6 0.8 and gJ, /g = 7.3 + 0.9 are obtained for Ca. and ' 0, respectively, from comparison with phenomenological calculations of the nuclear response. Froxxi comparison with microscopic calculations, values of g&/g~= 4.6 + 1.8, 13.6 +~s , and 16.2 +o'7 for Ca. , ' 0, and C, respectively, are obtained. The microscopic results are suggestive of a renormalization of the nucleonic form factors within the nucleus.

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γ-Neutrino Angular Correlations in Muon Capture

Cited by 33 publications

References 13 publications

Microscopic theories of neutrino-12Creactions

Microscopic theories of neutrino-12Creactions

Precision measurement ofsin2θWat a reactor

Radiative muon capture on carbon, oxygen, and calcium

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γ-Neutrino Angular Correlations in Muon Capture

Cited by 33 publications

References 13 publications

Microscopic theories of neutrino-12Creactions

Microscopic theories of neutrino-12Creactions

Precision measurement ofsin﻿2θWat a reactor

Radiative muon capture on carbon, oxygen, and calcium

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Precision measurement ofsin2θWat a reactor