Effects of Finite Temperature and Pairing Correlations in Multi-$Λ$ Hypernuclei
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913448064974848 |
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| author | Suleymanli, Bahruz Bozkurt, Kutsal Khan, Elias Güven, Haşim Margueron, Jérôme |
| author_facet | Suleymanli, Bahruz Bozkurt, Kutsal Khan, Elias Güven, Haşim Margueron, Jérôme |
| contents | The influence of finite temperatures and pairing correlations on the ground state properties of multi $Λ$- Ca, Sn and Pb hypernuclei is explored using finite temperature Hartree Fock Bogoliubov approach and contact pairing interaction. A critical temperature is predicted and is in agreement with the Bardeen Cooper Schrieffer relationship $k_B T_C^Λ\approx 0.5 Δ^{T=0}_Λ$, beyond which pairing correlations drop to zero. Particle densities, $Λ$ single particle energies, and nuclear radii are weakly impacted by pairing as well as by finite temperatures. However, other nuclear properties which are more sensitive to pairing correlations, such as $Λ$ pairing gaps, condensation energies, and abnormal densities are also more impacted by finite temperature, especially around the critical temperature. Furthermore, calculations show the occurrence of the pairing re-entrance effect in the $^{280}_{70Λ}$Pb hyperon drip line hypernucleus. Our study provides insight into the thermal evolution of $Λ$ pairing, i.e. the emergence and vanishing of pairing correlations in multi $Λ$ hypernuclei as a function of temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09737 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effects of Finite Temperature and Pairing Correlations in Multi-$Λ$ Hypernuclei Suleymanli, Bahruz Bozkurt, Kutsal Khan, Elias Güven, Haşim Margueron, Jérôme Nuclear Theory The influence of finite temperatures and pairing correlations on the ground state properties of multi $Λ$- Ca, Sn and Pb hypernuclei is explored using finite temperature Hartree Fock Bogoliubov approach and contact pairing interaction. A critical temperature is predicted and is in agreement with the Bardeen Cooper Schrieffer relationship $k_B T_C^Λ\approx 0.5 Δ^{T=0}_Λ$, beyond which pairing correlations drop to zero. Particle densities, $Λ$ single particle energies, and nuclear radii are weakly impacted by pairing as well as by finite temperatures. However, other nuclear properties which are more sensitive to pairing correlations, such as $Λ$ pairing gaps, condensation energies, and abnormal densities are also more impacted by finite temperature, especially around the critical temperature. Furthermore, calculations show the occurrence of the pairing re-entrance effect in the $^{280}_{70Λ}$Pb hyperon drip line hypernucleus. Our study provides insight into the thermal evolution of $Λ$ pairing, i.e. the emergence and vanishing of pairing correlations in multi $Λ$ hypernuclei as a function of temperature. |
| title | Effects of Finite Temperature and Pairing Correlations in Multi-$Λ$ Hypernuclei |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2403.09737 |