Two-cluster approach to the properties of one- and two-neutron-halo nuclei
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910884904828928 |
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| author | Maridi, H. M. Singh, Jagjit Walet, N. R. Sharp, D. K. |
| author_facet | Maridi, H. M. Singh, Jagjit Walet, N. R. Sharp, D. K. |
| contents | In this work, we present a new approximate method for obtaining simple wave functions for the ground state of exotic nuclei with a neutron halo. We model the system as a two-cluster structure, treating the core and halo as inert objects. The relative wave function is expressed as a combination of simple harmonic oscillator states, with the oscillator parameter determined from the separation energy. Since these wave functions lack the expected exponential decay, we introduce a simple multiplicative renormalization factor based on the nuclear root mean square radius. This approach, combining oscillator wave functions and the renormalization factor, is then applied to calculate dipole strength distributions $dB(E1,\varepsilon)/d\varepsilon$ and Coulomb dissociation cross section $dσ(E1,\varepsilon)/d\varepsilon$ for several $1n$- and $2n$-halo nuclei. The results show excellent agreement with the available experimental data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03044 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-cluster approach to the properties of one- and two-neutron-halo nuclei Maridi, H. M. Singh, Jagjit Walet, N. R. Sharp, D. K. Nuclear Theory In this work, we present a new approximate method for obtaining simple wave functions for the ground state of exotic nuclei with a neutron halo. We model the system as a two-cluster structure, treating the core and halo as inert objects. The relative wave function is expressed as a combination of simple harmonic oscillator states, with the oscillator parameter determined from the separation energy. Since these wave functions lack the expected exponential decay, we introduce a simple multiplicative renormalization factor based on the nuclear root mean square radius. This approach, combining oscillator wave functions and the renormalization factor, is then applied to calculate dipole strength distributions $dB(E1,\varepsilon)/d\varepsilon$ and Coulomb dissociation cross section $dσ(E1,\varepsilon)/d\varepsilon$ for several $1n$- and $2n$-halo nuclei. The results show excellent agreement with the available experimental data. |
| title | Two-cluster approach to the properties of one- and two-neutron-halo nuclei |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2407.03044 |