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| Format: | Preprint |
| Published: |
2023
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| Online Access: | https://arxiv.org/abs/2302.05926 |
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| _version_ | 1866914871633772544 |
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| author | Chen, Jiao-Kai |
| author_facet | Chen, Jiao-Kai |
| contents | By employing the nonlinear Regge trajectory relation $M=m_R+β_x(x+c_{0x})^{2/3}\,\,(x=l,\,n_r)$, we investigate the heavy-heavy systems, such as the doubly heavy diquarks, the doubly heavy mesons, the heavy-heavy baryons, and the heavy-heavy tetraquarks. The fitted Regge trajectories illustrate that these heavy-heavy systems satisfy the above formula and show the existence of an universal description of the heavy-heavy systems. The universality embodies not only the universal behavior $M{\sim}x^{2/3}$ but also the universal parameters. The values of $c_{fn_r}$ and $c_{fl}$ vary with different heavy-heavy systems, but they are close to one. There is an inequality $β_{n_r}>β_{l}$, and it holds for all the discussed heavy-heavy systems. Moreover, the expression of $β_x$ [Eq. (11)] explains its variation with the change of the constituents' masses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_05926 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Regge trajectory relation for the universal description of the heavy-heavy systems: diquarks, mesons, baryons and tetraquarks Chen, Jiao-Kai High Energy Physics - Phenomenology By employing the nonlinear Regge trajectory relation $M=m_R+β_x(x+c_{0x})^{2/3}\,\,(x=l,\,n_r)$, we investigate the heavy-heavy systems, such as the doubly heavy diquarks, the doubly heavy mesons, the heavy-heavy baryons, and the heavy-heavy tetraquarks. The fitted Regge trajectories illustrate that these heavy-heavy systems satisfy the above formula and show the existence of an universal description of the heavy-heavy systems. The universality embodies not only the universal behavior $M{\sim}x^{2/3}$ but also the universal parameters. The values of $c_{fn_r}$ and $c_{fl}$ vary with different heavy-heavy systems, but they are close to one. There is an inequality $β_{n_r}>β_{l}$, and it holds for all the discussed heavy-heavy systems. Moreover, the expression of $β_x$ [Eq. (11)] explains its variation with the change of the constituents' masses. |
| title | Regge trajectory relation for the universal description of the heavy-heavy systems: diquarks, mesons, baryons and tetraquarks |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2302.05926 |