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Main Authors: Amirkhanlou, Elnaz, Mohammadi, Behnam
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2409.17175
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author Amirkhanlou, Elnaz
Mohammadi, Behnam
author_facet Amirkhanlou, Elnaz
Mohammadi, Behnam
contents Recently, a study on the $J/ψη$ mass spectrum from $B^+\rightarrow J/ψηK^+$ decays was reported by the LHCb detector. The results of this study are reported as a ratio of branching fractions as $F_{X}\equiv\frac{\mathcal{B}r(B^+\rightarrow XK^+)\times\mathcal{B}r(X\rightarrow J/ψη)}{\mathcal{B}r(B^+\rightarrow ψ(2S) K^+)\times\mathcal{B}r(ψ(2S)\rightarrow J/ψη)}$ for $X=ψ_2(3823),ψ(4040)$, which are $(5.95^{+3.38}_{-2.55})\times10^{-2}$ and $(40.60\pm11.20)\times10^{-2}$, respectively. Also, the products related to $B_{X}\equiv\mathcal{B}r(B^+\rightarrow XK^+)\times\mathcal{B}r(X\rightarrow J/ψη)$ branching fractions are $B_{ψ_2(3823)}=(1.25^{+0.71}_{-0.53}\pm0.04)\times10^{-6}$ and $B_{ψ(4040)}=(8.53\pm2.35\pm0.30)\times10^{-6}$. For the first time, we calculated this branching fraction using factorization. According to our calculations, $F_X$ to be $F_{ψ_{2}(3823)}=(6.55\pm1.88)\times10^{-2}$ and $F_{ψ(4040)}=(14.33\pm4.15)\times10^{-2}$ at $μ=m_b/2$. We have estimated $B_{ψ_{2}(3823)}=(0.26\pm0.05)\times10^{-6}$ at $μ=m_b/2$ and $B_{ψ(4040)}=(2.88\pm0.64)\times10^{-6}$ at $μ=2m_b$.
format Preprint
id arxiv_https___arxiv_org_abs_2409_17175
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Contributions of $ψ_{2}(3823)$ and $ψ(4040)$ charmonium in $B^+\rightarrow J/ψηK^+$ decay
Amirkhanlou, Elnaz
Mohammadi, Behnam
High Energy Physics - Phenomenology
High Energy Physics - Experiment
Recently, a study on the $J/ψη$ mass spectrum from $B^+\rightarrow J/ψηK^+$ decays was reported by the LHCb detector. The results of this study are reported as a ratio of branching fractions as $F_{X}\equiv\frac{\mathcal{B}r(B^+\rightarrow XK^+)\times\mathcal{B}r(X\rightarrow J/ψη)}{\mathcal{B}r(B^+\rightarrow ψ(2S) K^+)\times\mathcal{B}r(ψ(2S)\rightarrow J/ψη)}$ for $X=ψ_2(3823),ψ(4040)$, which are $(5.95^{+3.38}_{-2.55})\times10^{-2}$ and $(40.60\pm11.20)\times10^{-2}$, respectively. Also, the products related to $B_{X}\equiv\mathcal{B}r(B^+\rightarrow XK^+)\times\mathcal{B}r(X\rightarrow J/ψη)$ branching fractions are $B_{ψ_2(3823)}=(1.25^{+0.71}_{-0.53}\pm0.04)\times10^{-6}$ and $B_{ψ(4040)}=(8.53\pm2.35\pm0.30)\times10^{-6}$. For the first time, we calculated this branching fraction using factorization. According to our calculations, $F_X$ to be $F_{ψ_{2}(3823)}=(6.55\pm1.88)\times10^{-2}$ and $F_{ψ(4040)}=(14.33\pm4.15)\times10^{-2}$ at $μ=m_b/2$. We have estimated $B_{ψ_{2}(3823)}=(0.26\pm0.05)\times10^{-6}$ at $μ=m_b/2$ and $B_{ψ(4040)}=(2.88\pm0.64)\times10^{-6}$ at $μ=2m_b$.
title Contributions of $ψ_{2}(3823)$ and $ψ(4040)$ charmonium in $B^+\rightarrow J/ψηK^+$ decay
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2409.17175