Light-cone sum rules study on the purely non-factorizable $Λ_{c}^{+}\toΞ^{0}K^{+}$ decay
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917722082770944 |
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| author | Shi, Yu-Ji Zhao, Zhen-Xing |
| author_facet | Shi, Yu-Ji Zhao, Zhen-Xing |
| contents | We investigate the purely non-factorizable $Λ_{c}^{+}\toΞ^{0}K^{+}$ decay using light-cone sum rules. To extract the decay amplitudes, a three-point correlation function is defined and calculated at hadron and quark-gluon level, respectively. Both the W-exchange and the W-inward emission diagrams are considered in the quark-gluon level calculation, where the two-particle light-cone distribution amplitudes (LCDAs) of kaon are used as non-perturbative input. We obtain the decay amplitudes contributed from the twist-2 and twist-3 kaon LCDAs, respectively. The obtained P-wave amplitude is consistent with those predicted in the literature, while the S-wave one is much smaller. This significant difference between the S- and P- wave amplitudes leads to small up-down spin asymmetry, closing to the experimental measurement. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_07431 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Light-cone sum rules study on the purely non-factorizable $Λ_{c}^{+}\toΞ^{0}K^{+}$ decay Shi, Yu-Ji Zhao, Zhen-Xing High Energy Physics - Phenomenology High Energy Physics - Experiment We investigate the purely non-factorizable $Λ_{c}^{+}\toΞ^{0}K^{+}$ decay using light-cone sum rules. To extract the decay amplitudes, a three-point correlation function is defined and calculated at hadron and quark-gluon level, respectively. Both the W-exchange and the W-inward emission diagrams are considered in the quark-gluon level calculation, where the two-particle light-cone distribution amplitudes (LCDAs) of kaon are used as non-perturbative input. We obtain the decay amplitudes contributed from the twist-2 and twist-3 kaon LCDAs, respectively. The obtained P-wave amplitude is consistent with those predicted in the literature, while the S-wave one is much smaller. This significant difference between the S- and P- wave amplitudes leads to small up-down spin asymmetry, closing to the experimental measurement. |
| title | Light-cone sum rules study on the purely non-factorizable $Λ_{c}^{+}\toΞ^{0}K^{+}$ decay |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2407.07431 |