Determination of the nucleon pseudoscalar coupling using muon capture by 3He

Congleton, J.; Fearing, Harold W.

doi:10.1016/0375-9474(93)90284-5

Cited by 46 publications

(81 citation statements)

References 35 publications

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“…Theoretical studies for reaction (1.2) within the SNPA have been performed in the early nineties by Congleton and Fearing [26] and Congleton and Truhlik [27]. In this later work, the nuclear wave functions were obtained from a realistic Hamiltonian based on the Argonne v 14 (AV14) two-nucleon [28] and the Tucson-Melbourne (TM) threenucleon [29] interactions.…”

Section: Introductionmentioning

confidence: 99%

Muon capture on deuteron andHe3

et al. 2011

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The muon capture reactions 2 H(µ − , νµ)nn and 3 He(µ − , νµ) 3 H are studied with conventional or chiral realistic potentials and consistent weak currents. The initial and final A = 2 and 3 nuclear wave functions are obtained from the Argonne v18 or chiral N3LO two-nucleon potential, in combination with, respectively, the Urbana IX or chiral N2LO three-nucleon potential in the case of A = 3. The weak current consists of polar-and axial-vector components. The former are related to the isovector piece of the electromagnetic current via the conserved-vector-current hypothesis. These and the axial currents are derived either in a meson-exchange or in a chiral effective field theory (χEFT) framework. There is one parameter (either the N -to-∆ axial coupling constant in the meson-exchange model, or the strength of a contact term in the χEFT model) which is fixed by reproducing the Gamow-Teller matrix element in tritium β-decay. The model dependence relative to the adopted interactions and currents (and cutoff sensitivity in the χEFT currents) is weak, resulting in total rates of 392.0 ± 2.3 s −1 for A = 2, and 1484 ± 13 s −1 for A = 3, where the spread accounts for this model dependence.

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Section: Introductionmentioning

confidence: 99%

Muon capture on deuteron andHe3

et al. 2011

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“…This is consistent with the OMC results of Refs. [7,8]. For OMC the difference is understood to arise from various meson exchange corrections which are included implicitly in the EPM approach but which must be put into the IA by hand as specific corrections.…”

Section: A Resultsmentioning

confidence: 99%

“…The quantity ε can be regarded as a constant over the Q 2 concerned [5][6][7][8]. The "PCAC" value of G P is defined as ε = 0.…”

Section: The Transition Amplitudementioning

confidence: 99%

“…Here φ µ (0) denotes the muon wave function at the origin, C = 0.9788 [7,8] is the correction factor that accounts for the non-pointlike nature of the nucleus, and V ud is the CKM matrix element which connects the up and down quark, with V ud = 0.9735 ± 0.0008 [19]. G F is the Fermi coupling constant, ρ is the density matrix which describes the initial spin configuration of the muonic atom, and M (P3 H , P3 He , M t ) is the transition amplitude M that was discussed in section (II) with the following name changes…”

Section: The Elementary Particle Modelmentioning

confidence: 99%

“…with F V (0) = 1, R V = 1.94 fm [7], F M (0) = κ3 He − κ3 H = −8.369 n.m − 7.913 n.m, R M = 1.72 fm [7], F A (0) = 1.212 ± 0.004 [8], R A = 1.703 fm [7]. The photon polarization vector ǫ λ , which is defined by ǫ λ ≡ 1 √ 2 (x + iλŷ), withk =ẑ, has the property…”

Section: The Elementary Particle Modelmentioning

confidence: 99%

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Radiative muon capture by3He

Ho¹,

Fearing²,

Schadow³

2002

Phys. Rev. C

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The rate of the nuclear reaction 3 He + µ − → 3 H + γ + νµ has been calculated using both the elementary particle model (EPM) approach and the impulse approximation (IA) approach. Using the EPM approach, the exclusive statistical radiative muon capture (RMC) rate for photon energy greater than 57 MeV is found to be 0.245 s −1 and the ordinary muon capture (OMC) rate to be 1503 s −1 . The IA calculation exhibits a slight dependence on the type of trinucleon wave functions used. The difference between the IA and EPM calculation is larger for RMC than for OMC. To resolve the difference between the two approaches a more detailed investigation including meson exchange corrections will be required.23. 40.-s, 21.45.+v, 13.10.+q, 24.80.+y

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