The theory of muon capture by complex nuclei

Rood, H.P.C.; Tolhoek, H.A.

doi:10.1016/0029-5582(65)90463-3

“…Recently, a very precise experimental study of the muon capture by 3 He [10,11], 18) yields the transition rate 19) which allowed [12] an extraction of the value of g P with an accuracy of ≈ 20 % from this experiment alone, 20) where for the reaction Eq. (1.18)…”

Section: P Cac Pmentioning

confidence: 99%

“…[19], we define in Sect. II the effective Hamiltonian analogously and we consider the velocity independent part only.…”

Section: Om C Pmentioning

confidence: 99%

Radiative muon capture in hydrogen

Truhlík¹,

Khanna

²

2002

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We analyze the radiative capture of the negative muon in hydrogen using amplitudes derived within the chiral Lagrangian approach. Besides the leading and next to leading order terms, given by the well-known Rood-Tolhoek Hamiltonian, we extract from these amplitudes the corrections of the next order in 1/M (M is the nucleon mass). In addition, we estimate within the same formalism also the ∆(1232) isobar excitation effects and processes described by an anomalous Lagrangian. Using of the parameters of the model obtained from the analysis of the pion photoproduction, which restricts the arbitrariness of the πN ∆ and γN ∆ vertices off-shell, allows us to explain two times more of the discrepancy between the value g P CAC P of the induced pseudoscalar form factor g P , predicted by partial conservation of the axial current, and of g P extracted from the recent TRIUMF experiment, than the standard approach. Varying these parameters independently, one can remove the discrepancy completely.

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“…[19]), and the mesonic amplitude M m. c., a µν (in correspondence with M(f ) in Ref. [19]). As discussed above, besides these amplitudes, other contact terms appear.…”

Section: Effective Hamiltonian For Rmcmentioning

confidence: 78%

“…Recently, a very precise experimental study of the muon capture by 3 He [10,11], µ − + 3 He −→ ν µ + 3 H , (1.18) yields the transition rate 19) which allowed [12] an extraction of the value of g P with an accuracy of ≈ 20 % from this experiment alone, 20) where for the reaction Eq. (1.18)…”

Section: Introductionmentioning

confidence: 99%

On radiative muon capture in hydrogen

Truhlík¹,

Khanna

²

2001

AIP Conference Proceedings

1

0

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We analyze the radiative capture of the negative muon in hydrogen using amplitudes derived within the chiral Lagrangian approach. Besides the leading and next to leading order terms, given by the well-known Rood-Tolhoek Hamiltonian, we extract from these amplitudes the corrections of the next order in 1/M (M is the nucleon mass). In addition, we estimate within the same formalism also the ∆(1232) isobar excitation effects and processes described by an anomalous Lagrangian. Using of the parameters of the model obtained from the analysis of the pion photoproduction, which restricts the arbitrariness of the πN ∆ and γN ∆ vertices off-shell, allows us to explain two times more of the discrepancy between the value g P CAC P of the induced pseudoscalar form factor g P , predicted by partial conservation of the axial current, and of g P extracted from the recent TRIUMF experiment, than the standard approach. Varying these parameters independently, one can remove the discrepancy completely.

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“…[12] for early work on this topic and Ref. [13] for an alternative presentation of the Adler and Dothan procedure).…”

Section: Introductionmentioning

confidence: 99%

Radiative muon capture by3He

Ho¹,

Fearing²,

Schadow³

2002

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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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The theory of muon capture by complex nuclei

Cited by 74 publications

References 14 publications

Radiative muon capture in hydrogen

Radiative muon capture in hydrogen

On radiative muon capture in hydrogen

Radiative muon capture by3He

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