Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.09406 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912190856953856 |
|---|---|
| author | Sun, Bao-Xi |
| author_facet | Sun, Bao-Xi |
| contents | The $α$ condensation in the ${}^{12}C$, ${}^{16}O$ and ${}^{20}Ne$ nuclei is investigated within an analytical solvable model. It is found that the calculated ratio of the ground state energies of the Hoyle state of ${}^{12}C$ and the Hoyle-like state of ${}^{16}O$ is consistent with that of the experimental values. Along this clue, the ground state energy of ${}^{20}Ne$ is obtained to be 1MeV approximately, which is far less than the experimental value of 3MeV. Additionally, the root-mean-square radii of these nuclei are also calculated, and all of them lies around 9fm, which is different from the result calculated with the Tohsaki-Horiuchi-Schuck-Ropke(THSR) wave function. Since the root-mean-square radius is relevant to the ground state energy of the $α$ condensate nucleus, the root-mean-square radii of ${}^{16}O$ and ${}^{20}Ne$ are also calculated with the ground state energies used in the THRS wave function. As a result, the root-mean-square radii of ${}^{16}O$ and ${}^{20}Ne$ reduced to 5fm, and it is similar to the result obtained with the THRS wave function. The calculation result manifests that the root-mean-square radius of $α$ condensate nuclei decreases with the energy increasing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09406 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $α$ condensate states of atomic nuclei ${}^{12}C$, ${}^{16}O$ and ${}^{20}Ne$ in an analytical solvable model Sun, Bao-Xi Nuclear Theory The $α$ condensation in the ${}^{12}C$, ${}^{16}O$ and ${}^{20}Ne$ nuclei is investigated within an analytical solvable model. It is found that the calculated ratio of the ground state energies of the Hoyle state of ${}^{12}C$ and the Hoyle-like state of ${}^{16}O$ is consistent with that of the experimental values. Along this clue, the ground state energy of ${}^{20}Ne$ is obtained to be 1MeV approximately, which is far less than the experimental value of 3MeV. Additionally, the root-mean-square radii of these nuclei are also calculated, and all of them lies around 9fm, which is different from the result calculated with the Tohsaki-Horiuchi-Schuck-Ropke(THSR) wave function. Since the root-mean-square radius is relevant to the ground state energy of the $α$ condensate nucleus, the root-mean-square radii of ${}^{16}O$ and ${}^{20}Ne$ are also calculated with the ground state energies used in the THRS wave function. As a result, the root-mean-square radii of ${}^{16}O$ and ${}^{20}Ne$ reduced to 5fm, and it is similar to the result obtained with the THRS wave function. The calculation result manifests that the root-mean-square radius of $α$ condensate nuclei decreases with the energy increasing. |
| title | The $α$ condensate states of atomic nuclei ${}^{12}C$, ${}^{16}O$ and ${}^{20}Ne$ in an analytical solvable model |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2501.09406 |