s-Wave Approximation for Asymmetry in Nonmesonic Decay of Finite Hypernuclei

Abstract

We establish the bridge between the commonly used Nabetani-Ogaito-Sato-Kishimoto (NOSK) formula for the asymmetry parameter $a_{\Lambda }$ in the $\vec{\Lambda }p\to np$ emission of polarized hypernuclei, and the shell model (SM) formalism for finite hypernuclei. We demonstrate that the s-wave approximation leads to a SM formula for $a_{\Lambda }$ that is as simple as the NOSK one, and that reproduces the exact results for ${}_{\Lambda }^5$He and ${}_{\Lambda }^{12}$C better than initially expected. The simplicity achieved here is indeed remarkable. The new formalism makes the theoretical evaluation of $a_{\Lambda }$ more transparent, and explains clearly why the one-meson exchange model is unable to account for the experimental data of ${}_{\Lambda }^5$He.

arXiv comment9 pages. to be published in Physical Review C

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• Weak Decay of Lambda Hypernuclei
• Theory of Weak Hypernuclear Decay
• Meson exchange in the weak decay of Lambda hypernuclei and the Gamma_n/Gamma_p ratio
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• Kinematical and nonlocality effects on the nonmesonic weak hypernuclear decay
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• Proton asymmetry in non-mesonic weak decay of light hypernuclei
• Spin observables in the $pn\to p\Lambda$ reaction

Cited by in corpus (7)

• Kinetic energy sum spectra in nonmesonic weak decay of hypernuclei
• Microscopic approach to the proton asymmetry in the non-mesonic weak decay of Lambda-hypernuclei
• Nonmesonic weak decay spectra of ${}_{\Lambda }^4$He
• Relationships between nonmesonic-weak-decays in different hypernuclei
• Nonmesonic weak decay spectra of light hypernuclei
• Nonmesonic Weak Decay Dynamics from proton spectra of $\Lambda$-Hypernuclei
• Relativistic model for the nonmesonic weak decay of single-lambda hypernuclei