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Charmed nuclei within a microscopic many-body approach

AuthorsVidaña, I.; Ramos, A.; Jiménez-Tejero, C.E.
Issue DateApr-2019
PublisherAmerican Physical Society
CitationPhysical Review C 99: 45208 (2019)
AbstractSingle-particle energies of the Λc charmed baryon are obtained in several nuclei from the relevant self-energy constructed within the framework of a perturbative many-body approach. Results are presented for a charmed baryon-nucleon (YcN) potential based on a SU(4) extension of the meson-exchange hyperon-nucleon potential A of the Jülich group. Three different models (A, B, and C) of this interaction, which differ only on the values of the couplings of the scalar σ meson with the charmed baryons, are considered. Phase shifts, scattering lengths, and effective ranges are computed for the three models and compared with those predicted by the YcN interaction derived by Haidenbauer and Krein [Eur. Phys. A 54, 199 (2018)EPJAFV1434-600110.1140/epja/i2018-12638-7] from the extrapolation to the physical pion mass of recent results of the HAL QCD Collaboration. Qualitative agreement is found for two of the models (B and C) considered. Our results for Λc nuclei are compatible with those obtained by other authors based on different models and methods. We find a small spin-orbit splitting of the p-, d-, and f-wave states as in the case of single Λ hypernuclei. The level spacing of Λc single-particle energies is found to be smaller than that of the corresponding one for hypernuclei. The role of the Coulomb potential and the effect of the coupling of the ΛcN and ΣcN channels on the single-particle properties of Λc nuclei are also analyzed. Our results show that, despite the Coulomb repulsion between the Λc and the protons, even the less attractive one of our YcN models (model C) is able to bind the Λc in all the nuclei considered. The effect of the ΛcN-ΣcN coupling is found to be almost negligible due to the large mass difference of the Λc and Σc baryons
Description10 pages, 6 figueres, 4 tables
Publisher version (URL)https://doi.org/10.1103/PhysRevC.99.045208
Identifiersissn: 2469-9985
e-issn: 2469-9993
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