Light baryon spectra and Regge trajectories from anomalous holographic hard wall models
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arXiv
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2026
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| _version_ | 1866918394077380608 |
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| author | Costa-Silva, Rafael A. Boschi-Filho, Henrique |
| author_facet | Costa-Silva, Rafael A. Boschi-Filho, Henrique |
| contents | In this work we propose anomalous versions of the holographic hard wall (HW) model to describe the spectra of light baryons of spin 1/2 and 3/2, and obtain their Regge trajectories. The anomalous contributions to the dimensions of the baryonic operators of logarithm form come from a semiclassical analysis of the AdS/CFT correspondence and were used recently for glueballs and light unflavoured mesons. Inspired by these results, we first propose an anomalous dimension of the form $Δ_{\rm anom.}=a\ln L +b$, where $a$ and $b$ are phenomenological constants to be adjusted numerically to better fit the experimental data of the PDG, and $L$ is the angular momentum of each baryonic state. Second, we discuss the case where the anomalous dimension also depends on the spin $S$ as $Δ_{\rm anom.}=a\ln (L+S+1/2) +b$, and fix the parameters $a$ and $b$ targeting PDG data. These two models, called AHW$_1$ and AHW$_2$, give better results for light baryon masses $(M)$ in comparison with the original HW model and show approximately linear Regge trajectories $(M^2\times L)$. We also consider a third anomalous HW model in which the dimension of the baryonic operator increases as $Δ_{\rm Lin.}=a L^c +b$, where $a$, $b$, and $c$ are constants adjusted to fit the light baryonic masses of PDG. Apart from compatible masses with PDG data, this case produces Regge trajectories that are asymptotically linear. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_16727 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Light baryon spectra and Regge trajectories from anomalous holographic hard wall models Costa-Silva, Rafael A. Boschi-Filho, Henrique High Energy Physics - Phenomenology High Energy Physics - Theory In this work we propose anomalous versions of the holographic hard wall (HW) model to describe the spectra of light baryons of spin 1/2 and 3/2, and obtain their Regge trajectories. The anomalous contributions to the dimensions of the baryonic operators of logarithm form come from a semiclassical analysis of the AdS/CFT correspondence and were used recently for glueballs and light unflavoured mesons. Inspired by these results, we first propose an anomalous dimension of the form $Δ_{\rm anom.}=a\ln L +b$, where $a$ and $b$ are phenomenological constants to be adjusted numerically to better fit the experimental data of the PDG, and $L$ is the angular momentum of each baryonic state. Second, we discuss the case where the anomalous dimension also depends on the spin $S$ as $Δ_{\rm anom.}=a\ln (L+S+1/2) +b$, and fix the parameters $a$ and $b$ targeting PDG data. These two models, called AHW$_1$ and AHW$_2$, give better results for light baryon masses $(M)$ in comparison with the original HW model and show approximately linear Regge trajectories $(M^2\times L)$. We also consider a third anomalous HW model in which the dimension of the baryonic operator increases as $Δ_{\rm Lin.}=a L^c +b$, where $a$, $b$, and $c$ are constants adjusted to fit the light baryonic masses of PDG. Apart from compatible masses with PDG data, this case produces Regge trajectories that are asymptotically linear. |
| title | Light baryon spectra and Regge trajectories from anomalous holographic hard wall models |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.16727 |