$X(3872)$ Relevant $D\bar{D}^*$ Scattering in $N_f=2$ Lattice QCD
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913479596703744 |
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| author | Li, Haozheng Shi, Chunjiang Chen, Ying Gong, Ming Liang, Juzheng Liu, Zhaofeng Sun, Wei |
| author_facet | Li, Haozheng Shi, Chunjiang Chen, Ying Gong, Ming Liang, Juzheng Liu, Zhaofeng Sun, Wei |
| contents | We study the $S$-wave $D\bar{D}^*(I=0)$ scattering at four different pion masses $m_π$ ranging from 250 MeV to 417 MeV from $N_f=2$ lattice QCD. Three energy levels $E_{2,3,4}$ are extracted at each $m_π$. The analysis of $E_{2,3}$ using the effective range expansion (ERE) comes out with a shallow bound state below the $D\bar{D}^*$ threshold, and the phase shifts at $E_{3,4}$ indicate the possible existence of a resonance near 4.0 GeV. We also perform a joint analysis to $E_{2,3,4}$ through the $K$-matrix parameterization of the scattering amplitude. In this way, we observe a $D\bar{D}^*$ bound state whose properties are almost the same as that from the ERE analysis. At each $m_π$, this joint analysis also results in a resonance pole with a mass slightly above 4.0 GeV and a width around 40-60 MeV, which are compatible with the properties of the newly observed $χ_{c1}(4010)$ by LHCb. More scrutinized lattice QCD calculations are desired to check the existence of this resonance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14541 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $X(3872)$ Relevant $D\bar{D}^*$ Scattering in $N_f=2$ Lattice QCD Li, Haozheng Shi, Chunjiang Chen, Ying Gong, Ming Liang, Juzheng Liu, Zhaofeng Sun, Wei High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology We study the $S$-wave $D\bar{D}^*(I=0)$ scattering at four different pion masses $m_π$ ranging from 250 MeV to 417 MeV from $N_f=2$ lattice QCD. Three energy levels $E_{2,3,4}$ are extracted at each $m_π$. The analysis of $E_{2,3}$ using the effective range expansion (ERE) comes out with a shallow bound state below the $D\bar{D}^*$ threshold, and the phase shifts at $E_{3,4}$ indicate the possible existence of a resonance near 4.0 GeV. We also perform a joint analysis to $E_{2,3,4}$ through the $K$-matrix parameterization of the scattering amplitude. In this way, we observe a $D\bar{D}^*$ bound state whose properties are almost the same as that from the ERE analysis. At each $m_π$, this joint analysis also results in a resonance pole with a mass slightly above 4.0 GeV and a width around 40-60 MeV, which are compatible with the properties of the newly observed $χ_{c1}(4010)$ by LHCb. More scrutinized lattice QCD calculations are desired to check the existence of this resonance. |
| title | $X(3872)$ Relevant $D\bar{D}^*$ Scattering in $N_f=2$ Lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2402.14541 |