Decays $f_1 \to a_0 π,πππ(η)$ and $f_1 \to K K π$ in the chiral $U(3) \times U(3)$ quark NJL model
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916784568795136 |
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| author | Volkov, M. K. Pivovarov, A. A. Nurlan, K. |
| author_facet | Volkov, M. K. Pivovarov, A. A. Nurlan, K. |
| contents | The branching fractions of the axial vector meson decays $f_1 \to a_0 π,ππη$, $f_1 \to ρπ,πππ$ and $f_1 \to KKπ$ are calculated in the standard $U(3) \times U(3)$ quark NJL model. The intermediate channels with the states $a_0(980)π$ and $f_0(500)η$ are taken into account in the decay $f_1 \to ππη$. In the case of the scalar mesons, the $\bar{q}q$ representation as a chiral symmetric partners of the pseudoscalar mesons is used. It is shown that the decays $f_1 \to ρπ$ and $f_1 \to3π$ occur due to the mass difference of the $u$ and $d$ quarks. All the results are obtained without using any additional arbitrary parameters and are in satisfactory agreement with the known experimental data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_07065 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Decays $f_1 \to a_0 π,πππ(η)$ and $f_1 \to K K π$ in the chiral $U(3) \times U(3)$ quark NJL model Volkov, M. K. Pivovarov, A. A. Nurlan, K. High Energy Physics - Phenomenology The branching fractions of the axial vector meson decays $f_1 \to a_0 π,ππη$, $f_1 \to ρπ,πππ$ and $f_1 \to KKπ$ are calculated in the standard $U(3) \times U(3)$ quark NJL model. The intermediate channels with the states $a_0(980)π$ and $f_0(500)η$ are taken into account in the decay $f_1 \to ππη$. In the case of the scalar mesons, the $\bar{q}q$ representation as a chiral symmetric partners of the pseudoscalar mesons is used. It is shown that the decays $f_1 \to ρπ$ and $f_1 \to3π$ occur due to the mass difference of the $u$ and $d$ quarks. All the results are obtained without using any additional arbitrary parameters and are in satisfactory agreement with the known experimental data. |
| title | Decays $f_1 \to a_0 π,πππ(η)$ and $f_1 \to K K π$ in the chiral $U(3) \times U(3)$ quark NJL model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.07065 |