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Beyond-mean-field approach to low-lying spectra of $\Lambda$ hypernuclei
Nuclear Theory · Submitted 30 Nov 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our calculation indicates that the most important impurity effect in $sd$-shell hypernuclei is a change in a deformation parameter rather than in a nuclear size.
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Taking the hypernucleus $^{13}_{~\Lambda}$C as an example, we illustrate the miscroscopic particle-rotor model for low-lying spectra of hypernuclei. This approach is based on the beyond-mean-field method, with the particle number and angular momentum projections. The quantum fluctuation of the mean-field is also taken into account for the core nucleus using the generator coordinate method. We show that the impurity effect of $\Lambda$ hyperon, such as a change in $B(E2)$, is well described with this model. Our calculation indicates that the most important impurity effect in $sd$-shell hypernuclei is a change in a deformation parameter rather than in a nuclear size.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Taking the hypernucleus $^{13}_{~\Lambda}$C as an example, we illustrate the miscroscopic particle-rotor model for low-lying spectra of hypernuclei. | contribution 0.68 | 0.86 | 0.04 | asserted 0.95 |
| s1 | This approach is based on the beyond-mean-field method, with the particle number and angular momentum projections. | method 1.00 | 0.48 | 0.04 | asserted 1.00 |
| s2 | The quantum fluctuation of the mean-field is also taken into account for the core nucleus using the generator coordinate method. | method 1.00 | 0.73 | 0.03 | asserted 1.00 |
| s3 | We show that the impurity effect of $\Lambda$ hyperon, such as a change in $B(E2)$, is well described with this model. | result 0.98 | 0.89 | 0.17 | asserted 1.00 |
| s4 | Our calculation indicates that the most important impurity effect in $sd$-shell hypernuclei is a change in a deformation parameter rather than in a nuclear size. | result 0.74 | 0.95 | 0.77 | hedged possibility 0.95 |
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Original abstract
Taking the hypernucleus $^{13}_{~\Lambda}$C as an example, we illustrate the miscroscopic particle-rotor model for low-lying spectra of hypernuclei. This approach is based on the beyond-mean-field method, with the particle number and angular momentum projections. The quantum fluctuation of the mean-field is also taken into account for the core nucleus using the generator coordinate method. We show that the impurity effect of $\Lambda$ hyperon, such as a change in $B(E2)$, is well described with this model. Our calculation indicates that the most important impurity effect in $sd$-shell hypernuclei is a change in a deformation parameter rather than in a nuclear size.
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See Refs. [ref] for other different types of application of the beyond-mean-field approach to hypernuclei, which are complementary to the present microscopic particle-rotor model.
Generator coordinate method for hypernuclear spectroscopy with a covariant density functional · Introduction · 0.90
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