Shell-model study of partial muon-capture rates in light nuclei

Siiskonen, T.; Suhonen, J.; Kuzmin, V. A.; Tetereva, T. V.

doi:10.1016/s0375-9474(98)00182-1

Cited by 35 publications

(35 citation statements)

References 27 publications

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“…The amplitude (2) can be used for the calculations of muon (or electron) capture rates [14,16]. As mentioned in the previous Section, our aim is to calculate the effective charges (effective form factors) for the vector, axial vector, and pseudoscalar parts of the amplitude, so as to help to understand the differences between calculated and experimental rates and other observables.…”

Section: Invariant Amplitude and Single-particle Operatorsmentioning

confidence: 99%

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Renormalization of the weak hadronic current in the nuclear medium

2001

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The renormalization of the weak charge-changing hadronic current as a function of the reaction energy release is studied at the nucleonic level. We have calculated the average quenching factors for each type of current (vector, axial vector and induced pseudoscalar). The obtained quenching in the axial vector part is, at zero momentum transfer, 19% for the sd shell and 23% in the f p shell. We have extended the calculations also to heavier systems such as 56 Ni and 100 Sn, where we obtain stronger quenchings, 44% and 59%, respectively. Gamow-Teller type transitions are discussed, along with the higher order matrix elements. The quenching factors are constant up to roughly 60 MeV momentum transfer. Therefore the use of energy-independent quenching factors in beta decay is justified. We also found that going beyond the zeroth and first order operators (in inverse nucleon mass) does not give any

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Section: Invariant Amplitude and Single-particle Operatorsmentioning

confidence: 99%

“…III do not affect the OBTD, which are taken to be given numbers. We do not calculate them here (see, e.g., [14] for examples). In what follows we shall consider only the single-particle part of Eq.…”

Section: Invariant Amplitude and Single-particle Operatorsmentioning

confidence: 99%

Renormalization of the weak hadronic current in the nuclear medium

2001

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“…Thus far the value of the corresponding coupling coefficient is poorly known in finite nuclear systems (see e.g. [5,6]). …”

Section: Discussionmentioning

confidence: 99%

Muon-capture rates and their relation with the double-beta decay

Suhonen

Kortelainen

2006

Czech J Phys

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“…The ratio u requires knowing the axial to vector β-decay coupling constant ratio, for which we assume the two widely accepted values of |C A /C V | = 1.25 [19,20] for the bare constants, and |C A /C V | = 1.0 [21,22] for the renormalized axial coupling constant. The parameter Λ estimates the ratio between the relativistic and non-relativistic nuclear matrix elements, and, in addition to (5), involves the integral:…”

Section: Theorymentioning

confidence: 99%