Strange-antistrange and charm-anticharm asymmetries of pion in 't Hooft model
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| Format: | Preprint |
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2024
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| _version_ | 1866915085573685248 |
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| author | Zhu, Mingliang Hu, Siwei Jia, Yu Mo, Zhewen Xiong, Xiaonu |
| author_facet | Zhu, Mingliang Hu, Siwei Jia, Yu Mo, Zhewen Xiong, Xiaonu |
| contents | As a sequel of our preceding work [S. Hu et al., Phys. Rev. D 108 (2023) 9, 094040], we investigate the strange-antistrange and charm-anticharm asymmetries in the parton distribution functions (PDFs) of a light flavored meson, exemplified by the first excited pion in the 't Hooft model, {\it viz.}, QCD in two spacetime dimensions with infinite number of colors. Counted as an ${\cal O}(1/N_c)$ effect, the intrinsic strange content necessarily originates from the higher Fock component of the light flavored meson, which entails infinite towers of $K$ and $\overline{K}$ mesons. Numerical studies reveal that, with $m_u/m_d=1/2$, the $s$-$\bar{s}$ and $c$-$\bar{c}$ asymmetries of the first excited $π^-$ can reach per cents level. While the $s$-$\bar{s}$ asymmetry predicted from the meson cloud model (MCM) grossly align with the rigorous approach, there exists severe discrepancy between two approaches on the $c$-$\bar{c}$ asymmetry. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_21152 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strange-antistrange and charm-anticharm asymmetries of pion in 't Hooft model Zhu, Mingliang Hu, Siwei Jia, Yu Mo, Zhewen Xiong, Xiaonu High Energy Physics - Phenomenology As a sequel of our preceding work [S. Hu et al., Phys. Rev. D 108 (2023) 9, 094040], we investigate the strange-antistrange and charm-anticharm asymmetries in the parton distribution functions (PDFs) of a light flavored meson, exemplified by the first excited pion in the 't Hooft model, {\it viz.}, QCD in two spacetime dimensions with infinite number of colors. Counted as an ${\cal O}(1/N_c)$ effect, the intrinsic strange content necessarily originates from the higher Fock component of the light flavored meson, which entails infinite towers of $K$ and $\overline{K}$ mesons. Numerical studies reveal that, with $m_u/m_d=1/2$, the $s$-$\bar{s}$ and $c$-$\bar{c}$ asymmetries of the first excited $π^-$ can reach per cents level. While the $s$-$\bar{s}$ asymmetry predicted from the meson cloud model (MCM) grossly align with the rigorous approach, there exists severe discrepancy between two approaches on the $c$-$\bar{c}$ asymmetry. |
| title | Strange-antistrange and charm-anticharm asymmetries of pion in 't Hooft model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.21152 |