Unified study of $B_s^0 \to X(3872) π^+π^- (K^+ K^-)$ and $B_s^0 \to ψ(2S) π^+π^- (K^+ K^-)$ processes
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| Format: | Preprint |
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2025
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| _version_ | 1866914349145128960 |
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| author | Chen, Yun-Hua |
| author_facet | Chen, Yun-Hua |
| contents | We perform a unified description of the experimental data of the $π^+π^-$ invariant mass spectra of $B_s^0 \to ψ(2S) π^+π^-$, the $π^+π^-$ and $K^+ K^-$ invariant mass spectra of $B_s^0 \to X(3872) π^+π^- (K^+ K^-)$, and the ratio of branch fractions $\mathcal{B}[B_s^0 \to X(3872)(K^+K^-)_{{\rm non-}ϕ}]/ \mathcal{B}[B_s^0 \to X(3872)π^+ π^-)$. The strong final state interactions between the two pseudoscalars are taken into account using a parametrization fulfilling unitarity and analyticity. We find that there is universality in the coupling constants for $B_s^0 \to ψ(2S) π^+π^-$ and $B_s^0 \to J/ψπ^+π^-$ processes. While the couplings of $B_s^0 \to X(3872) π^+π^-$ are about half of magnitude smaller than the couplings of $B_s^0 \to ψ(2S) π^+π^-$, which indicates that the $X(3872)$ is different from a pure charmonium state. Furthermore, we find that the $f_0(1500)$ plays an important role in the $B_s^0 \to ψ(2S) π^+π^-$ and the $B_s^0 \to X(3872) π^+π^- (K^+ K^-)$ processes, though the phase space of $B_s^0 \to X(3872) f_0(1500)$ is small. Also we predict the ratio of branch fractions $\mathcal{B}[B_s^0 \to ψ(2S)(K^+K^-)_{{\rm non-}ϕ}]/ \mathcal{B}[B_s^0 \to ψ(2S)π^+ π^-]$ and the $K^+ K^-$ invariant mass distribution of $B_s^0 \to ψ(2S)K^+K^-$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_17754 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unified study of $B_s^0 \to X(3872) π^+π^- (K^+ K^-)$ and $B_s^0 \to ψ(2S) π^+π^- (K^+ K^-)$ processes Chen, Yun-Hua High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory We perform a unified description of the experimental data of the $π^+π^-$ invariant mass spectra of $B_s^0 \to ψ(2S) π^+π^-$, the $π^+π^-$ and $K^+ K^-$ invariant mass spectra of $B_s^0 \to X(3872) π^+π^- (K^+ K^-)$, and the ratio of branch fractions $\mathcal{B}[B_s^0 \to X(3872)(K^+K^-)_{{\rm non-}ϕ}]/ \mathcal{B}[B_s^0 \to X(3872)π^+ π^-)$. The strong final state interactions between the two pseudoscalars are taken into account using a parametrization fulfilling unitarity and analyticity. We find that there is universality in the coupling constants for $B_s^0 \to ψ(2S) π^+π^-$ and $B_s^0 \to J/ψπ^+π^-$ processes. While the couplings of $B_s^0 \to X(3872) π^+π^-$ are about half of magnitude smaller than the couplings of $B_s^0 \to ψ(2S) π^+π^-$, which indicates that the $X(3872)$ is different from a pure charmonium state. Furthermore, we find that the $f_0(1500)$ plays an important role in the $B_s^0 \to ψ(2S) π^+π^-$ and the $B_s^0 \to X(3872) π^+π^- (K^+ K^-)$ processes, though the phase space of $B_s^0 \to X(3872) f_0(1500)$ is small. Also we predict the ratio of branch fractions $\mathcal{B}[B_s^0 \to ψ(2S)(K^+K^-)_{{\rm non-}ϕ}]/ \mathcal{B}[B_s^0 \to ψ(2S)π^+ π^-]$ and the $K^+ K^-$ invariant mass distribution of $B_s^0 \to ψ(2S)K^+K^-$. |
| title | Unified study of $B_s^0 \to X(3872) π^+π^- (K^+ K^-)$ and $B_s^0 \to ψ(2S) π^+π^- (K^+ K^-)$ processes |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2512.17754 |