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P. Adlarson

Publications and source records attributed to P. Adlarson.

At least 397 records · Page 22Linked to original sources

Measurement of the branching fraction of $D^+_s\to \ell^+ν_\ell$ via $e^+e^-\to D^{*+}_{s} D^{*-}_{s}$

Based on $10.64~\mathrm{fb}^{-1}$ of $e^+e^-$ collision data taken at center-of-mass energies between 4.237 and 4.699 GeV with the BESIII detector, we study the leptonic $D^+_s$ decays using the $e^+e^-\to D^{*+}_{s} D^{*-}_{s}$ process. The branching fractions of $D_s^+\to\ell^+ν_{\ell}\,(\ell=μ,τ)$ are measured to be $\mathcal{B}(D_s^+\toμ^+ν_μ)=(0.547\pm0.026_{\rm stat}\pm0.016_{\rm syst})\%$ and $\mathcal{B}(D_s^+\toτ^+ν_τ)=(5.60\pm0.16_{\rm stat}\pm0.20_{\rm syst})\%$, respectively. The product of the decay constant and Cabibbo-Kobayashi-Maskawa matrix element $|V_{cs}|$ is determined to be $f_{D_s^+}|V_{cs}|=(246.5\pm5.9_{\rm stat}\pm3.6_{\rm syst}\pm0.5_{\rm input})_{μν}~\mathrm{MeV}$ and $f_{D_s^+}|V_{cs}|=(252.7\pm3.6_{\rm stat}\pm4.5_{\rm syst}\pm0.6_{\rm input}))_{τν}~\mathrm{MeV}$, respectively. Taking the value of $|V_{cs}|$ from a global fit in the Standard Model, we obtain ${f_{D^+_s}}=(252.8\pm6.0_{\rm stat}\pm3.7_{\rm syst}\pm0.6_{\rm input})_{μν}$ MeV and ${f_{D^+_s}}=(259.2\pm3.6_{\rm stat}\pm4.5_{\rm syst}\pm0.6_{\rm input})_{τν}$ MeV, respectively. Conversely, taking the value for $f_{D_s^+}$ from the latest lattice quantum chromodynamics calculation, we obtain $|V_{cs}| =(0.986\pm0.023_{\rm stat}\pm0.014_{\rm syst}\pm0.003_{\rm input})_{μν}$ and $|V_{cs}| = (1.011\pm0.014_{\rm stat}\pm0.018_{\rm syst}\pm0.003_{\rm input})_{τν}$, respectively.

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Measurements of the branching fractions of semileptonic $D^{+}_s$ decays via $e^+e^-\to D_s^{*+}D_s^{*-}$

We measure the absolute branching fractions of semileptonic $D^+_s$ decays via the $e^+e^-\to D_s^{*+}D_s^{*-}$ process using $e^+e^-$ collision data corresponding to an integrated luminosity of $10.64~\mathrm{fb}^{-1}$ collected by the BESIII detector at center-of-mass energies between 4.237 and 4.699 GeV. The branching fractions are ${\mathcal B}(D_s^+\to ηe^+ν_e)=(2.35\pm0.11_{\rm stat}\pm 0.10_{\rm syst})\%,$ ${\mathcal B}(D_s^+\to η^\prime e^+ν_e)=(0.82\pm0.09_{\rm stat}\pm 0.04_{\rm syst})\%,$ ${\mathcal B}(D_s^+\to ϕe^+ν_e)=(2.21\pm0.16_{\rm stat}\pm 0.11_{\rm syst})\%,$ ${\mathcal B}(D_s^+\to f_0(980) e^+ν_e,f_0(980)\toπ^+π^-)=(0.15\pm0.02_{\rm stat}\pm 0.01_{\rm syst})\%,$ ${\mathcal B}(D_s^+\to K^0 e^+ν_e)=(0.24\pm0.04_{\rm stat}\pm 0.01_{\rm syst})\%,$ and ${\mathcal B}(D_s^+\to K^{*0} e^+ν_e)=(0.19\pm0.03_{\rm stat}\pm 0.01_{\rm syst})\%.$ These results are consistent with those measured via the $e^+e^-\to D_s^{*\pm}D_s^{\mp}$ process by BESIII and CLEO. The hadronic transition form factors $D^+_s\to ηe^+ν_e$, $D^+_s\to η^\prime e^+ν_e$, and $D^+_s\to K^0 e^+ν_e$ at four-momentum transfer squared $q^2$ = 0 are determined to be $f^η_+(0) = 0.482 \pm 0.011_{\rm stat} \pm 0.009_{\rm syst}\pm0.004_{\rm input},$ $f^{η^{\prime}}_+(0) = 0.562 \pm 0.031_{\rm stat} \pm 0.014_{\rm syst}\pm0.003_{\rm input},$ and $f^{K^0}_+(0) = 0.624 \pm 0.052_{\rm stat} \pm 0.013_{\rm syst}\pm0.002_{\rm input}.$

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Test of lepton universality and measurement of the form factors of $D^0\to K^{*}(892)^-μ^+ν_μ$

We report a first study of the semileptonic decay $D^0\rightarrow K^-π^0μ^{+}ν_μ$ by analyzing an $e^+e^-$ annihilation data sample of $7.9~\mathrm{fb}^{-1}$ collected at the center-of-mass energy of 3.773 GeV with the BESIII detector. The absolute branching fraction of $D^0\to K^-π^0μ^{+}ν_μ$ is measured for the first time to be $(0.729 \pm 0.014_{\rm stat} \pm 0.011_{\rm syst})\%$. Based on an amplitude analysis, the $S\text{-}{\rm wave}$ contribution is determined to be $(5.76 \pm 0.35_{\rm stat} \pm 0.29_{\rm syst})\%$ of the total decay rate in addition to the dominated $K^{*}(892)^-$ component. The branching fraction of $D^0\to K^{*}(892)^-μ^+ν_μ$ is given to be $(2.062 \pm 0.039_{\rm stat} \pm 0.032_{\rm syst})\%$, which improves the precision of the world average by a factor of 5. Combining with the world average of ${\mathcal B}(D^0\to K^{*}(892)^-e^+ν_e)$, the ratio of the branching fractions obtained is $\frac{{\mathcal B}(D^0\to K^{*}(892)^-μ^+ν_μ)}{{\mathcal B}(D^0\to K^{*}(892)^-e^+ν_e)} = 0.96\pm0.08$, in agreement with lepton flavor universality. Furthermore, assuming single-pole dominance parameterization, the most precise hadronic form factor ratios for $D^0\to K^{*}(892)^{-} μ^+ν_μ$ are extracted to be $r_{V}=V(0)/A_1(0)=1.37 \pm 0.09_{\rm stat} \pm 0.03_{\rm syst}$ and $r_{2}=A_2(0)/A_1(0)=0.76 \pm 0.06_{\rm stat} \pm 0.02_{\rm syst}$.

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Study of the rare decay $J/ψ\to μ^+μ^-μ^+μ^-$

The rare electromagnetic $J/ψ\to μ^+μ^-μ^+μ^-$ decay is observed with a significance greatly exceeding the discovery threshold, using proton-proton collision data collected by the LHCb experiment during 2016-2018 at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of $5.4\,\text{fb}^{-1}$. The rate of this decay is measured relative to that of the $J/ψ\to μ^+μ^-$ mode. Using the QED model for the four-muon decay in the efficiency estimation, its branching fraction is determined to be \begin{equation*} {\mathcal{B}}(J/ψ\to μ^+μ^-μ^+μ^-) = (1.13\pm0.10\pm0.05\pm0.01)\times 10^{-6}, \end{equation*} where the uncertainties are statistical, systematic and due to the uncertainty on the branching fraction of the $J/ψ\to μ^+μ^-$ decay.

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Measurement of $D^0-\overline{D}^0$ mixing and search for $CP$ violation with $D^0\rightarrow K^+π^-$ decays

A measurement of the time-dependent ratio of the $D^0\rightarrow K^+π^-$ to $\overline{D}^0\rightarrow K^+π^-$ decay rates is reported. The analysis uses a sample of proton-proton collisions corresponding to an integrated luminosity of 6 fb$^{-1}$ recorded by the LHCb experiment from 2015 through 2018 at a center-of-mass energy of 13 TeV. The $D^0$ meson is required to originate from a $D^{*+}\rightarrow D^0π^+$ decay, such that its flavor at production is inferred from the charge of the accompanying pion. The measurement is performed simultaneously for the $K^+π^-$ and $K^-π^+$ final states, allowing both mixing and $CP$-violation parameters to be determined. The value of the ratio of the decay rates at production is determined to be $R_{Kπ} = (343.1 \pm 2.0) \times 10^{-5}$. The mixing parameters are measured to be $c_{Kπ} = (51.4 \pm 3.5) \times 10^{-4}$ and $c_{Kπ}^{\prime} = (13 \pm 4) \times 10^{-6}$, where $\sqrt{R_{Kπ}}c_{Kπ}$ is the linear coefficient of the expansion of the ratio as a function of decay time in units of the $D^0$ lifetime, and $c_{Kπ}^{\prime}$ is the quadratic coefficient, both averaged between the $K^+π^-$ and $K^-π^+$ final states. The precision is improved relative to the previous best measurement by approximately 60%. No evidence for $CP$ violation is found.

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Observation of new charmonium(-like) states in $B^+ \to D^{*\pm} D^{\mp} K^+$ decays

A study of resonant structures in $B^{+}\rightarrow{D^{\ast+}D^{-}K^{+}}$ and $B^{+}\rightarrow{D^{\ast-}D^{+}K^{+}}$ decays is performed, using proton-proton collision data at centre-of-mass energies of $\sqrt{s}=7, 8$, and $13$ TeV recorded by the LHCb experiment, corresponding to an integrated luminosity of 9 fb$^{-1}$. A simultaneous amplitude fit is performed to the two channels with contributions from resonances decaying to $D^{\ast-}D^{+}$ and $D^{\ast+}D^{-}$ states linked by $C$ parity. This procedure allows the $C$-parities of resonances in the $D^{\ast\pm}D^{\mp}$ mass spectra to be determined. Four charmonium(-like) states are observed decaying into $D^{\ast\pm}D^{\mp}$: $η_c(3945)$, $h_c(4000)$, $χ_{c1}(4010)$ and $h_c(4300)$, with quantum numbers $J^{PC}$ equal to $0^{-+}$, $1^{+-}$, $1^{++}$ and $1^{+-}$, respectively. At least three of these states have not been observed previously. In addition, the existence of the $T_{\bar{c}\bar{s}0}^{*}(2870)^{0}$ and $T_{\bar{c}\bar{s}1}^{*}(2900)^{0}$ resonances in the $D^-K^+$ mass spectrum, already observed in the $B^+ \to D^+ D^- K^+$ decay, is confirmed in a different production channel.

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Measurements of the branching fraction ratio $\cal{B}(ϕ\to μ^+μ^-)/\cal{B}(ϕ\to e^+e^-)$ with charm meson decays

Measurements of the branching fraction ratio ${\cal{B}(ϕ\to μ^+ μ^-)/\cal{B}(ϕ\to e^+e^-)}$ with ${D_{s}^{+} \to π^{+} ϕ}$ and ${D^{+} \to π^{+} ϕ}$ decays, denoted $R^{s}_{ϕπ}$ and $R^{d}_{ϕπ}$, are presented. The analysis is performed using a dataset corresponding to an integrated luminosity of 5.4$\,\rm{fb}^{-1}$ of $pp$ collision data collected with the LHCb experiment. The branching fractions are normalised with respect to the ${B^{+} \to K^{+} J/ψ(\to e^+e^-)}$ and ${B^{+} \to K^{+} J/ψ(\to μ^+μ^-)}$ decay modes. The combination of the results yields $$ R_{ϕπ} = 1.022 \pm 0.012 \,({\rm stat}) \, \pm 0.048 \,({\rm syst}). $$ The result is compatible with previous measurements of the $ϕ\to \ell^{+}\ell^{-}$ branching fractions and predictions based on the Standard Model.

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Observation of $Λ_c^+ \to Λa_0(980)^+$ and Evidence for $Σ(1380)^+$ in $Λ_c^+ \to Λπ^+ η$

Based on $6.1~\mathrm{fb}^{-1}$ of $e^+e^-$ annihilation data collected at center-of-mass energies from 4.600 to 4.843 GeV with the BESIII detector at the BEPCII collider, a partial wave analysis of $Λ_c^+\toΛπ^+η$ is performed, and branching fractions and decay asymmetry parameters of intermediate processes are determined. The process $Λ_c^+\toΛa_0(980)^+$ is observed for the first time, and evidence for the pentaquark candidate $Σ(1380)^+$ decaying into $Λπ^+$ is found with statistical significance larger than $3σ$ with mass and width fixed to theoretical predictions. The branching fraction product $\mathcal{B}[Λ_{c}^{+} \to Λa_0(980)^+] \; \mathcal{B}[ a_0(980)^+ \to π^{+}η]$ is determined to be $(1.05 \pm 0.16_{\mathrm{stat}} \pm 0.05_{\mathrm{syst}} \pm 0.07_{\mathrm{ext}})\%$, which is larger than theoretical calculations by 1-2 orders of magnitude. Here the third (external) systematic is from $\mathcal{B}(Λ_{c}^{+} \to Λπ^+ η)$. Finally, we precisely obtain the absolute branching fraction $\mathcal{B}(Λ_{c}^{+} \to Λπ^+ η) = (1.94 \pm 0.07_{\mathrm{stat}} \pm 0.11_{\mathrm{syst}})\%$.

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Measurement of $CP$ violation in ${B^0}\rightarrow{D^{+}D^{-}}$ and ${B^{0}_{s}}\rightarrow{D^{+}_{s}D^{-}_{s}}$ decays

A time-dependent, flavour-tagged measurement of $CP$ violation is performed with ${B^0}\rightarrow{D^{+}D^{-}}$ and ${B^{0}_{s}}\rightarrow{D^{+}_{s}D^{-}_{s}}$ decays, using data collected by the LHCb detector in proton-proton collisions at a centre-of-mass energy of 13 TeV corresponding to an integrated luminosity of 6 fb$^{-1}$. In ${B^0}\rightarrow{D^{+}D^{-}}$ decays the $CP$-violation parameters are measured to be \begin{align} S_{D^{+}D^{-}} & = -0.552 \pm 0.100\,\text{(stat)} \pm 0.010\,\text{(syst)}, \nonumber \newline C_{D^{+}D^{-}} & = \phantom{-}0.128 \pm0.103\,\text{(stat)} \pm 0.010\,\text{(syst)}. \nonumber \end{align} In $B^{0}_{s} \rightarrow D^{+}_{s}D^{-}_{s}$ decays the $CP$-violating parameter formulation in terms of $ϕ_{s}$ and $|λ|$ results in \begin{align} ϕ_{s} & = -0.086 \pm 0.106 \,\text{(stat)} \pm 0.028\,\text{(syst)} \,\text{rad}, \nonumber \newline |λ_{D^{+}_{s}D^{-}_{s}}| & = \phantom{-}1.145 \pm 0.126\,\text{(stat)} \pm 0.031\,\text{(syst)}. \nonumber \end{align} These results represent the most precise single measurement of the $CP$-violation parameters in their respective channels. For the first time in a single measurement, $CP$ symmetry is observed to be violated in ${B^0}\rightarrow{D^{+}D^{-}}$ decays with a significance exceeding six standard deviations.

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Observation of a rare beta decay of the charmed baryon with a Graph Neural Network

The beta decay of the lightest charmed baryon $Λ_c^+$ provides unique insights into the fundamental mechanism of strong and electro-weak interactions, serving as a testbed for investigating non-perturbative quantum chromodynamics and constraining the Cabibbo-Kobayashi-Maskawa (CKM) matrix parameters. This article presents the first observation of the Cabibbo-suppressed decay $Λ_c^+ \rightarrow n e^+ ν_{e}$, utilizing $4.5~\mathrm{fb}^{-1}$ of electron-positron annihilation data collected with the BESIII detector. A novel Graph Neural Network based technique effectively separates signals from dominant backgrounds, notably $Λ_c^+ \rightarrow Λe^+ ν_{e}$, achieving a statistical significance exceeding $10σ$. The absolute branching fraction is measured to be $(3.57\pm0.34_{\mathrm{stat.}}\pm0.14_{\mathrm{syst.}})\times 10^{-3}$. For the first time, the CKM matrix element $\left|V_{cd}\right|$ is extracted via a charmed baryon decay as $0.208\pm0.011_{\rm exp.}\pm0.007_{\rm LQCD}\pm0.001_{τ_{Λ_c^+}}$. This work highlights a new approach to further understand fundamental interactions in the charmed baryon sector, and showcases the power of modern machine learning techniques in experimental high-energy physics.

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Amplitude analysis of the radiative decay $B^0_s\to K^+K^-γ$

A search for radiative decay of $B^0_s$ mesons to orbitally excited $K^+K^-$ states is performed using proton proton collisions recorded by the \mbox{LHCb}\xspace experiment, corresponding to an integrated luminosity of 9~fb$^{-1}$. The dikaon spectrum in the mass range $m_{KK}<2400$~{\ensuremath{\,\text{Me\kern -0.1em V\!/}c^2}\xspace} is dominated by the $ϕ(1020)$ resonance that accounts for almost 70$\%$ of the decay rate. Considering the possible contributions of $f_2{(1270)}$, $f'_2{(1525)}$ and $f_2{(2010)}$ meson states, the overall tensor contribution to the amplitude is measured to be \begin{equation} {\cal F}_{\{f_2\}}=16.8\pm 0.5\mathrm{~(stat.)}\pm0.7\mathrm{~(syst.)}\%,\nonumber \end{equation} mostly dominated by the $f'_2(1525)$ state. Several statistically equivalent solutions are obtained for the detailed resonant structure depending on whether the smaller amplitudes interfere destructively or constructively with the dominant amplitude. The preferred solution that corresponds to the lowest values of the fit fractions along with constructive interference leads to the relative branching ratio measurement \begin{equation} \frac{{\cal B}(B^0_s\to f'_2γ)}{{\cal B}(B^0_s\toϕγ)}= 19.4^{+0.9}_{-0.8}\mathrm{~(stat.)}{}^{+1.4}_{-0.5}\mathrm{~(syst.)}\pm0.5\mathrm{~(\cal{B})}\%\nonumber, \end{equation} where the last uncertainty is due to the ratio of measured branching fractions to the $K^+K^-$ final state. This result represents the first observation of the radiative $B^0_s\to f'_2(1525)γ$ decay, which is the second radiative transition observed in the $B^0_s$ sector.

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Search for $B_{(s)}^{*0}\toμ^+μ^-$ in $B_c^+\toπ^+μ^+μ^-$ decays

A search for the very rare $B^{*0}\toμ^+μ^-$ and $B_{s}^{*0}\toμ^+μ^-$ decays is conducted by analysing the $B_c^+\to π^+μ^+μ^-$ process. The analysis uses proton-proton collision data collected with the LHCb detector between 2011 and 2018, corresponding to an integrated luminosity of 9$\text{\,fb}^{-1}$. The signal signatures correspond to simultaneous peaks in the $μ^+μ^-$ and $π^+μ^+μ^-$ invariant masses. No evidence for an excess of events over background is observed for either signal decay mode. Upper limits at the $90\%$ confidence level are set on the branching fractions relative to that for $B_c^+\to J\mskip -3mu/\mskip -2muψπ^+$ decays, \begin{equation*} {\cal R}_{B^{*0}(μ^+μ^-)π^+/J\mskip -3mu/\mskip -2muψπ^+} < 3.8\times 10^{-5}\ \text{ and }\: {\cal R}_{B_{s}^{*0}(μ^+μ^-)π^+/J\mskip -3mu/\mskip -2muψπ^+} < 5.0\times 10^{-5}\,. \end{equation*}

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Search for $K^0_S$ invisible decays

Based on $(1.0087\pm0.0044)\times10^{10}$ $J/ψ$ events collected with the BESIII detector at the BEPCII $e^+e^-$ storage ring, we search for $K_{S}^{0}$ invisible decays via the $J/ψ\to ϕK_{S}^{0} K_{S}^{0}$ process. No significant signal is observed, and the upper limit of the branching fraction of these invisible decays is set at 8.4 $\times$ $10^{-4}$ at the 90\% confidence level. This is the first experimental search for $K^0_S$ invisible decays.

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Search for the leptonic decay $D^{+}\to e^{+}ν_{e}$

We search for the leptonic decay $D^+\to e^+ν_{e}$ using an $e^+e^-$ collision data sample with an integrated luminosity of 20.3~fb$^{-1}$ collected with the BESIII detector at the center-of-mass energy of 3.773~GeV. No significant signal is observed and an upper limit on the branching fraction of $D^+\to e^+ν_{e}$ is set as $9.7 \times 10^{-7}$, at the 90\% confidence level. Our upper limit is an order of magnitude smaller than the previous limit for this decay mode.

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Measurement of $\itΛ_\it{b}^0$, $\itΛ_\it{c}^+$ and $\itΛ$ decay parameters using $\itΛ_\it{b}^0 \to \itΛ_\it{c}^+ h^-$ decays

A comprehensive study of the angular distributions in the bottom-baryon decays $\itΛ^\mathrm{0}_b\to\itΛ_c^+ h^-(h=π, K)$, followed by $\itΛ_c^+\to\itΛ h^+$ with $\itΛ\to \it{p} π^-$ or $\itΛ_c^+\to\it{p}\it{K}^0_\mathrm{S}$ decays, is performed using a data sample of proton-proton collisions corresponding to an integrated luminosity of $9~\mathrm{fb}^{-1}$ collected by the LHCb experiment at center-of-mass energies of 7, 8 and 13 $\mathrm{Te\kern -0.1em V}$. The decay parameters and the associated charge-parity ($C\!P$) asymmetries are measured, with no significant $C\!P$ violation observed. For the first time, the $\itΛ^\mathrm{0}_b \to \itΛ_c^+ h^-$ decay parameters are measured. The most precise measurements of the decay parameters $α, β$ and $γ$ are obtained for $\itΛ_c^+$ decays and an independent measurement of the decay parameters for the strange-baryon $\itΛ$ decay is provided. The results deepen our understanding of weak decay dynamics in baryon decays.

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Observation of $ψ(3686) \to K^{-}Λ(1520)\barΞ^{+} + c.c.$

Based on $(2712.4 \pm 14.3)\times 10^6$ $ψ(3686)$ events collected at the BESIII detector operating at the BEPCII collider, we present the first observation of the decay $ψ(3686) \to K^{-}Λ(1520)\barΞ^{+} + c.c.$. The product branching fraction ${\cal B}[ψ(3686) \to K^{-}Λ(1520)\barΞ^{+} + c.c.] \times {\cal B}[Λ(1520) \to pK^{-}]$ is measured to be $(9.5 \pm 0.8 \pm 1.1) \times 10^{-7}$, where the first uncertainty is statistical and the second systematic.

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Search for $η_c(2S)\to p\bar{p}K^+K^-$ and measurement of $χ_{cJ}\to p\bar{p}K^+K^-$ in $ψ(3686)$ radiative decays

A search for $η_c(2S)\to p\bar{p}K^+K^-$, together with measurement of branching fractions of $χ_{cJ(J=0,1,2)}\to p\bar{p}K^+K^-$ in the $ψ(3686) \to γη_c(2S)$ and the $ψ(3686) \to γχ_{cJ}$ radiative decays, is performed with $(2712.4\pm14.3)\times 10^6$ $ψ(3686)$ events collected with the BESIII detector at the BEPCII collider. An evidence for $η_c(2S)\to p\bar{p}K^+K^-$ is found, with a significance of $3.3σ$. The product branching fraction of $\mathcal{B}[ψ(3686)\toγη_c(2S)]\cdot\mathcal{B}[η_c(2S)\to p\bar{p}K^+K^-]$ is determined to be $(1.98\mkern 2mu\pm\mkern 2mu0.41_{\text{stat.}}\mkern 2mu\pm\mkern 2mu0.99_{\text{syst.}})\times 10^{-7}$. The product branching fractions of $\mathcal{B}[ψ(3686)\toγχ_{cJ}]\cdot\mathcal{B}[χ_{cJ}\to p\bar{p}K^+K^-]$ are measured to be $(2.49\mkern 2mu\pm\mkern 2mu 0.03_{\text{stat.}}\mkern 2mu\pm\mkern 2mu 0.15_{\text{syst.}})\times 10^{-5}$, $(1.83\mkern 2mu \pm\mkern 2mu 0.02_{\text{stat.}}\mkern 2mu \pm\mkern 2mu 0.11_{\text{syst.}})\times 10^{-5}$, and $(2.43\mkern 2mu\pm\mkern 2mu 0.02_{\text{stat.}}\mkern 2mu\pm\mkern 2mu 0.15_{\text{syst.}})\times 10^{-5}$, for $J=0,\ 1$, and 2, respectively.

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$\mathcal R(3780)$ Resonance Interpreted as the $1^3D_1$-Wave Dominant State of Charmonium from Precise Measurements of the Cross Section of $e^+e^-\rightarrow$ Hadrons

We report the precise measurements of the cross section of $e^+e^-\rightarrow$ hadrons at center-of-mass energies from 3.645 to 3.871 GeV. We thereby perform the most precise study of the cross sections and find a complex system composed of three resonances of $\mathcal R(3760)$, $\mathcal R(3780)$, and $\mathcal R(3810)$. For the first time, we measure the $\mathcal R(3810)$ electronic width to be $(19.4 \pm 7.4 \pm 12.1)$ eV. For the $\mathcal R(3760)$ resonance, we measure the mass to be $(3751.9\pm 3.8\pm 2.8)$ MeV/$c^2$, the total width to be $(32.8 \pm 5.8 \pm 8.7)$ MeV, and the electronic width to be $(184\pm 75\pm 86)$ eV. For the $\mathcal R(3780)$ resonance, we measure its mass to be $(3778.7\pm 0.5\pm 0.3)$ MeV/$c^2$, total width to be $(20.3 \pm 0.8 \pm 1.7)$ MeV, and electronic width to be $(265\pm 67\pm 83)$ eV. Forty-seven years ago, the $ψ(3770)$ resonance was discovered, and was subsequently interpreted as the $1^3D_1$-wave dominant state of charmonium. However, our analysis of the total-hadron cross sections indicates that the $ψ(3770)$ is not a single state, but a complex system composed of the $\mathcal R(3760)$, $\mathcal R(3780)$, and $\mathcal R(3810)$ resonances. Among these, we interpret the $\mathcal R(3780)$ is a resonance dominated by the $1^3D_1$ charmonium state.

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