Interpretation of near-threshold peaks using the method of independent S-matrix poles
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910387372294144 |
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| author | Santos, Leonarc Michelle Sombillo, Denny Lane B. |
| author_facet | Santos, Leonarc Michelle Sombillo, Denny Lane B. |
| contents | We propose a model-independent analysis of near-threshold enhancements using independent S-matrix poles. In this formulation, we constructed a Jost function with controllable zeros to ensure that no poles are generated on the physical Riemann sheet. We show that there is a possibility of misinterpreting the observed near-threshold signals if one utilized a limited parametrization and restrict the analysis to only one element of the S-matrix. Specifically, there is a possibility of the emergence of ambiguous pair of poles which are singularities of the full S-matrix but may not manifest in one of its elements. For a more concrete discussion, we focused on an effective two-channel scattering where the full S-matrix is a $2\times2$ matrix. We apply our method to the coupled two-channel analysis of the $P_ψ^N(4312)^+$ and found that the compact pentaquark interpretation cannot be ruled out yet. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_03325 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Interpretation of near-threshold peaks using the method of independent S-matrix poles Santos, Leonarc Michelle Sombillo, Denny Lane B. High Energy Physics - Phenomenology Nuclear Theory We propose a model-independent analysis of near-threshold enhancements using independent S-matrix poles. In this formulation, we constructed a Jost function with controllable zeros to ensure that no poles are generated on the physical Riemann sheet. We show that there is a possibility of misinterpreting the observed near-threshold signals if one utilized a limited parametrization and restrict the analysis to only one element of the S-matrix. Specifically, there is a possibility of the emergence of ambiguous pair of poles which are singularities of the full S-matrix but may not manifest in one of its elements. For a more concrete discussion, we focused on an effective two-channel scattering where the full S-matrix is a $2\times2$ matrix. We apply our method to the coupled two-channel analysis of the $P_ψ^N(4312)^+$ and found that the compact pentaquark interpretation cannot be ruled out yet. |
| title | Interpretation of near-threshold peaks using the method of independent S-matrix poles |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2308.03325 |