Abstract
The potential for the Λ N → NN weak transition, the main responsible for the non-mesonic weak decay of hypernuclei, has been developed within the framework of effective field theory (EFT) up to next-to-leading order (NLO). The leading order (LO) and NLO contributions have been calculated in both momentum and coordinate space, and have been organised into the different operators which mediate the N → NN transition. We compare the ranges of the one-meson and two-pion exchanges for each operator. The non-mesonic weak decay of the hypertriton has been computed within the plane-wave approximation using the LO weak potential and modern strong EFT NN potentials. Formally, two methods to calculate the final state interactions among the decay products are presented. We briefly comment on the calculation of the mesonic weak decay.
Highlights
The hypertriton, a bound system of a proton, a neutron and a Λ, is the lightest known hypernucleus, and the simplest to study theoretically
The leading order (LO) and next-to-leading order (NLO) contributions have been calculated in both momentum and coordinate space, and have been organised into the different operators which mediate the ΛN → N N transition
Published under licence by IOP Publishing Ltd in the non-mesonic weak decay transition, ΛN → N N, for which we have developed the effective field theory (EFT) potentials up to NLO in momentum and coordinate space
Summary
- Non-mesonic weak decay of hypernuclei with effective field theory A Pérez-Obiol, D R Entem, B Juliá-Díaz et al. - Studies at the border between nuclear and atomic physics: Weak decays of highly charged ions D Atanasov, K Blaum, F Bosch et al. This content was downloaded from IP address 134.94.122.142 on 17/01/2019 at 08:47
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