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H. -R. Bao

Publications and source records attributed to H. -R. Bao.

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Amplitude analysis and branching fraction measurement of the Cabibbo-favored decay $D^+ \to K^-π^+π^+π^0$

An amplitude analysis of the Cabibbo-favored decay $D^+ \to K^-π^+π^+π^0$ is performed, using 7.93 $\rm{fb}^{-1}$ of $e^+e^-$ collision data collected with the BESIII detector at the center-of-mass energy of 3.773 GeV. The branching fractions of the intermediate processes are measured, with the dominant contribution $D^+ \to \bar{K}^{*}(892)^0ρ(770)^+$ observed to have a branching fraction of $(4.15\pm0.07_{\rm stat.}\pm0.17_{\rm syst.})\%$. With the detection efficiency derived from the amplitude analysis, the absolute branching fraction of $D^+ \to K^-π^+π^+π^0$ is measured to be $(6.06\pm0.04_{\rm stat.}\pm0.07_{\rm syst.})\%$.

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Search for $h_c \to π^+π^-J/ψ$ via $ψ(3686)\to π^0h_c$

Using $(2712.4 \pm 14.3) \times 10^6~ψ$(3686) events collected with the BESIII detector operating at the BEPCII collider, we search for the hadronic transition $h_c \to π^+π^-J/ψ$ via $ψ(3686)\to π^0 h_c$. No significant signal is observed. We set the most stringent upper limits to date on the branching fractions $\mathcal{B}(ψ(3686)\to π^0 h_c)\times\mathcal{B}(h_c\toπ^+π^-J/ψ)$ and $\mathcal{B}(h_c \to π^+π^-J/ψ)$ at the 90$\%$ confidence level, which are determined to be $6.7\times 10^{-7}$ and $9.4 \times10^{-4}$, respectively.

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Study of the semileptonic decay $D^0\rightarrow \bar{K}^0π^-e^+ν_e$

We report an improved study of the semileptonic decay $D^0 \rightarrow \bar{K}^0π^-e^+ν_{e}$ based on a sample of $7.9~\mathrm{fb}^{-1}$ of $e^+e^-$ annihilation data collected at a center-of-mass energy of 3.773~GeV with the BESIII detector at the BEPCII collider. The branching fraction of this decay is measured to be $\mathcal{B}(D^0\rightarrow \bar{K}^0π^-e^+ν_{e}) = (1.444 \pm 0.022_{\rm stat} \pm 0.024_{\rm syst})\%$, which is the most precise to date, where the first uncertainty is statistical and the second is systematic. Based on investigation of the decay dynamics, we find that the decay is dominated by the $K^{*}(892)^-$ component and present an improved measurement of its branching fraction to be $\mathcal{B}(D^0\rightarrow K^{*}(892)^-e^+ν_e) = (2.039 \pm 0.032_{\rm stat} \pm 0.034_{\rm syst})\%$. We also determine the ratios of the hadronic form factors for the $K^{*}(892)^-e^+ν_e$ decay to be $r_{V} = V(0)/A_1(0) = 1.48 \pm 0.05_{\rm stat} \pm 0.02_{\rm syst}$ and $r_{2} = A_2(0)/A_1(0) = 0.70 \pm 0.04_{\rm stat} \pm 0.02_{\rm syst}$, where $V(0)$ is the vector form factor and $A_{1,2}(0)$ are the axial form factors. In addition, the $\bar{K}^0π^-$ $\mathcal{S}$-wave component is found to account for $(5.87 \pm 0.32_{\rm stat} \pm 0.16_{\rm syst})\%$ of the total decay rate, corresponding to a branching fraction of $\mathcal{B}[D^0\rightarrow (\bar{K}^0π^-)_{S-{\rm wave}}e^+ν_e] = (0.085 \pm 0.005_{\rm stat} \pm 0.003_{\rm syst})\%$.

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Measurement of the integrated luminosity of the data collected at 3.773 GeV by BESIII from 2021 to 2024

We present a measurement of the integrated luminosity of $e^+e^-$ collision data collected with the BESIII detector at the BEPCII collider at a center-of-mass energy of $E_{\rm cm} = 3.773$~GeV. The integrated luminosities of the data sets taken from December 2021 to June 2022, from November 2022 to June 2023, and from October 2023 to February 2024 are determined to be $4.995 \pm 0.019$~fb$^{-1}$, $8.157 \pm 0.031$~fb$^{-1}$, and $4.191 \pm 0.016$~fb$^{-1}$, respectively, by analyzing large angle Bhabha scattering events. The uncertainties are dominated by systematic effects and the statistical uncertainties are negligible. Our results provide essential input for future analyses and precision measurements.

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Study of the decay ψ(3686) \to Σ^{0}\barΣ^{0}ϕ

Using $(27.12\pm 0.14)\times 10^{8}$ $ψ(3686)$ events collected with the BESIII detector operating at the BEPCII collider, the decay $ψ(3686)\toΣ^{0}\barΣ^{0}ϕ$ is observed for the first time with a statistical significance of 7.6$σ$. Its branching fraction is measured to be $(2.64 \pm 0.32_{\textrm{stat}} \pm 0.12_{\textrm{sys}}) \times 10^{-6}$, where the first uncertainty is statistical and the second is systematic. In addition, we search for potential intermediate states in the $Σ^{0}ϕ$($\barΣ^{0}ϕ$) invariant mass distribution and a possible threshold enhancement in the $Σ^{0}\barΣ^{0}$ system, but no conclusive evidence of is observed.

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Search for lepton number violating decays of $D_s^+\to h^-h^0e^+e^+$

Based on 7.33 fb$^{-1}$ of $e^+e^-$ collision data collected by the BESIII detector operating at the BEPCII collider at center-of-mass energies from 4.128 to 4.226 GeV, a search for the Majorana neutrino $ν_m$ is conducted in the lepton-number-violating decays of $D_s^+\to h^-h^0e^+e^+$. Here, $h^-$ represents a $K^-$ or $π^-$, and $h^0$ represents a $π^0$, $K_S^0$ or $ϕ$. No significant signal is observed, and the upper limits of their branching fractions at the 90\% confidence level are determined to be $\mathcal{B}(D_s^+\to ϕπ^-e^+e^+) < 6.9 \times 10^{-5}$, $\mathcal{B}(D_s^+\to ϕK^-e^+e^+) < 9.9 \times 10^{-5}$, $\mathcal{B}(D_s^+\to K_S^0π^-e^+e^+) < 1.3 \times 10^{-5}$, $\mathcal{B}(D_s^+\to K_S^0K^-e^+e^+) < 2.9 \times 10^{-5}$, $\mathcal{B}(D_s^+\to π^-π^0e^+e^+) < 2.9 \times 10^{-5}$ and $\mathcal{B}(D_s^+\to K^-π^0e^+e^+) < 3.4 \times 10^{-5}$. The Majorana neutrino is searched for with different mass assumptions within the range [0.20, 0.80] GeV$/c^2$ in the decay of $D_s^+\toϕe^+ν_m$ with $ν_m\toπ^-e^+$, and the upper limits of the branching fractions at the 90\% confidence level are at the level of $10^{-5}-10^{-2}$, depending on the mass of the Majorana neutrino.

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Model-independent determination of the strong-phase difference between $D^0$ and $\bar{D}^0 \to π^+π^-π^+π^-$ decays

Measurements of the strong-phase difference between $D^0$ and $\bar{D}^0\toπ^+π^-π^+π^-$ are performed in bins of phase space. The study exploits a sample of quantum-correlated $D\bar{D}$ mesons collected by the BESIII experiment in $e^+e^-$ collisions at a center-of-mass energy of 3.773~GeV, corresponding to an integrated luminosity of 2.93~fb$^{-1}$. Here, $D$ denotes a neutral charm meson in a superposition of flavor eigenstates. The reported results are valuable for measurements of the $C\!P$-violating phase $γ$ (also denoted $ϕ_3$) in $B^\pm \to DK^\pm$, $D \to π^+π^-π^+π^-$ decays, and the binning schemes are designed to provide good statistical sensitivity to this parameter. The expected uncertainty on $γ$ arising from the precision of the strong-phase measurements, when applied to very large samples of $B$-meson decays, is around $1.5^\circ$ or $2^\circ$, depending on the binning scheme. The binned strong-phase parameters are combined to give a value of $F_+^{4π} = 0.746 \pm 0.010 \pm 0.004$ for the $C\!P$-even fraction of $D^0 \to π^+π^-π^+π^-$ decays, which is around 30\% more precise than the previous best measurement of this quantity.

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Observation of $D^+\to f_0(500)μ^+ν_μ$ and study of $D^+\to π^+π^-\ell^+ν_\ell$ decay dynamics

Using $2.93~\mathrm{fb}^{-1}$ of $e^+e^-$ collision data collected with the BESIII detector at the center-of-mass energy of 3.773 GeV,we investigate the semileptonic decays $D^+\to π^+π^- \ell^+ν_\ell$ ($\ell=e$ and $μ$). The $D^+\to f_0(500)μ^+ν_μ$ decay is observed for the first time. By analyzing simultaneously the differential decay rates of $D^+\to f_0(500) μ^+ν_μ$ and $D^+\to f_0(500) e^+ν_e$ in different $\ell^+ν_\ell$ four-momentum transfer intervals, the product of the relevant hadronic form factor $f^{f_0}_{+}(0)$ and the magnitude of the $c\to d$ Cabibbo-Kobayashi-Maskawa matrix element $|V_{cd}|$ is determined to be $f_{+}^{f_0} (0)|V_{cd}|=0.143\pm0.014_{\rm stat}\pm0.011_{\rm syst}$ for the first time. With the input of $|V_{cd}|$ from the global fit in the standard model, we determine $f_{+}^{f_0} (0)=0.63\pm0.06_{\rm stat}\pm0.05_{\rm syst}$. The absolute branching fractions of $D^+\to f_0(500)_{(π^+π^-)}μ^+ν_μ$ and $D^+\to ρ^0_{(π^+π^-)} μ^+ν_μ$ are determined as $(0.72\pm0.13_{\rm stat}\pm0.08_{\rm syst})\times10^{-3}$ and $(1.64\pm0.13_{\rm stat}\pm0.10_{\rm syst})\times 10^{-3}$. Combining these results with those of previous BESIII measurements on their semielectronic counterparts from the same data sample, we test lepton flavor universality by measuring the branching fraction ratios ${\mathcal B}_{D^+\to ρ^0 μ^+ν_μ}/{\mathcal B}_{D^+\to ρ^0 e^+ν_e}=0.88\pm0.10$ and ${\mathcal B}_{D^+\to f_0(500) μ^+ν_μ}/{\mathcal B}_{D^+\to f_0(500) e^+ν_e}=1.14\pm0.26$, which are compatible with the standard model expectation.

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Measurement of Born cross sections of $e^+e^-\toΞ^0\barΞ^0$ and search for charmonium(-like) states at $\sqrt{s}$ = 3.51-4.95 GeV

Using $e^+e^-$ collision data collected by the BESIII detector at BEPCII corresponding to an integrated luminosity of 30 $\rm fb^{-1}$, we measure Born cross sections and effective form factors for the process $e^+e^-\toΞ^0\barΞ^0$ at forty-five center-of-mass energies between 3.51 and 4.95 GeV. The dressed cross section is fitted, assuming a power-law function plus a charmonium(-like) state, i.e., $ψ(3770)$, $ψ(4040)$, $ψ(4160)$, $ψ(4230)$, $ψ(4360)$, $ψ(4415)$ or $ψ(4660)$. No significant charmonium(-like) state decaying into $Ξ^0\barΞ^0$ is observed. Upper limits at the 90% confidence level on the product of the branching fraction and the electronic partial width are provided for each decay. In addition, ratios of the Born cross sections and the effective form factors for $e^+e^-\toΞ^0\barΞ^0$ and $e^+e^-\toΞ^-\barΞ^+$ are also presented to test isospin symmetry and the vector meson dominance model.

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Search for $η_c(2S)\to p\bar{p}$ and branching fraction measurements of $χ_{cJ} \to p\bar{p}$ via $ψ(2S)$ radiative decays

Using $(27.12\pm0.14) \times 10^{8}$ $ψ(2S)$ events collected by the BESIII detector operating at BEPCII, we search for the decay $η_c(2S)\to p\bar{p}$ via the process $ψ(2S)\to γη_c(2S)$, and only find a signal with a significance of $1.7\,σ$. The upper limit of the product branching fraction at the 90% confidence level is determined to be $\mathcal{B}(ψ(2S)\to γη_c(2S))\times \mathcal{B}(η_c(2S)\to p\bar{p})<2.4\times 10^{-7}$. The branching fractions of $χ_{cJ}\to p\bar{p}~(J=0,1,2)$ are also measured to be $\mathcal{B}(χ_{c0}\to p\bar{p})=(2.51\pm0.02\pm0.08)\times 10^{-4}$, $\mathcal{B}(χ_{c1}\to p\bar{p})=(8.16\pm0.09\pm0.25)\times 10^{-4}$, and $\mathcal{B}(χ_{c2}\to p\bar{p})=(8.33\pm0.09\pm0.22)\times 10^{-4}$, where the first uncertainty is statistical and the second systematic.

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Measurement of the branching fractions of the decays $Λ_{c}^{+}\rightarrowΛK_{S}^{0}K^{+}$, $Λ_{c}^{+}\rightarrowΛK_{S}^{0}π^{+}$ and $Λ_{c}^{+}\rightarrowΛK^{*+}$

Studies are performed of the Cabibbo-favored decay $Λ_{c}^{+}\toΛK_{S}^{0}K^+$ and the singly Cabibbo-suppressed decay $Λ_{c}^{+}\toΛK_{S}^{0}π^+$, based on a sample of $e^{+}e^{-}$ collision data, corresponding to an integrated luminosity of 4.5 fb$^{-1}$, accumulated at center-of-mass energies between $4599.53$ MeV and $4698.82$ MeV with the BESIII detector. The decay $Λ_{c}^{+}\toΛK_{S}^{0}π^+$ is observed for the first time. The branching fractions of $Λ_{c}^{+}\toΛK_{S}^{0}K^+$ and $Λ_{c}^{+}\toΛK_{S}^{0}π^+$ are measured to be $(3.04\pm0.30\pm0.16)\times 10^{-3}$ and $(1.73\pm0.27\pm0.10)\times 10^{-3}$, respectively, where the first uncertainties are statistical and the second are systematic. These results correspond to the most precise measurement of these quantities for both decays. Evidence of a $K^{*+}$ contribution in the $Λ_{c}^{+}\toΛK_{S}^{0}π^+$ decay is found with a statistical significance of $4.7σ$. The branching fraction of $Λ_{c}^{+}\toΛK^{*+}$ is calculated under three possible interference scenarios.

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Observation of $χ_{c0}\toΣ^{+}\barΣ^{-}η$ and evidence for $χ_{c1,2}\toΣ^{+}\barΣ^{-}η$

Using $(27.12\pm 0.14)\times10^{8}$ $ψ(3686)$ events collected with the BESIII detector, the decay $χ_{c0}\toΣ^{+}\barΣ^{-}η$ is observed for the first time with a statistical significance of $7.0σ$, and evidence for $χ_{c1}\toΣ^{+}\barΣ^{-}η$ and $χ_{c2}\toΣ^{+}\barΣ^{-}η$ is found with statistical significances of $4.3σ$ and $4.6σ$, respectively. The branching fractions are determined to be $\mathcal{B}(χ_{c0}\toΣ^{+}\barΣ^{-}η)=({1.26 \pm 0.20 \pm 0.13}) \times 10^{-4}, ~\mathcal{B}(χ_{c1}\toΣ^{+}\barΣ^{-}η)=({5.10 \pm 1.21 \pm 0.67}) \times 10^{-5}$, and $\mathcal{B}(χ_{c2}\toΣ^{+}\barΣ^{-}η)=({5.46 \pm 1.18 \pm 0.50}) \times 10^{-5}$, where the first uncertainties are statistical, and the second ones are systematic.

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Observation of the Singly Cabibbo-Suppressed Decay $Λ_c^{+}\to pπ^0$

Utilizing 4.5${~\rm{fb}}^{-1}$ of $e^+e^-$ annihilation data collected with the BESIII detector at the BEPCII collider at center-of-mass energies between 4.600 and 4.699 GeV, the first observation of the singly Cabibbo-suppressed decay $Λ_c^{+}\to pπ^0$ is presented, with a statistical significance of $5.4σ$. The ratio of the branching fractions of $Λ_c^{+}\to pπ^0$ and $Λ_c^{+}\to pη$ is measured as $\mathcal{B}(Λ_c^{+}\to pπ^0)/\mathcal{B}(Λ_c^{+}\to pη)=(0.120\pm0.026_{\rm stat.}\pm0.007_{\rm syst.})$. This result resolves the longstanding discrepancy between earlier experimental searches, providing both a decisive conclusion and valuable input for QCD-inspired theoretical models. A sophisticated deep learning approach using a Transformer-based architecture is employed to distinguish the signal from the prevalent hadronic backgrounds, complemented by thorough validation and systematic uncertainty quantification.

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Search for $η_c(2S)\to 2(π^+π^-)$ and improved measurement of $χ_{cJ}\to 2(π^+π^-)$

We search for the hadronic decay $η_c(2S)\to 2(π^+π^-)$ in the $ψ(3686)\toγη_c(2S)$ radiative decay using $(27.12\pm 0.14)\times 10^8$ $ψ(3686)$ events collected by the BESIII detector at the BEPCII collider. No significant signal is found, and the upper limit of $\mathcal{B}[ψ(3686)\toγη_c(2S)]\mathcal{B}[η_c(2S)\to 2(π^+π^-)]$ is determined to be $0.78\times 10^{-6}$ at the 90\% confidence level. Using $ψ(3686)\toγχ_{cJ}$ transitions, we also measure the branching fractions of $\mathcal{B}[χ_{cJ(J=0,1,2)}\to 2(π^+π^-)]$, which are $\mathcal{B}[χ_{c0}\to 2(π^+π^-)]=(2.127\pm 0.002~(\mathrm{stat.})\pm 0.101~(\mathrm{syst.}))$\%, $\mathcal{B}[χ_{c1}\to 2(π^+π^-)]=(0.685\pm 0.001~(\mathrm{stat.})\pm 0.031~\mathrm{syst.}))$\%, and $\mathcal{B}[χ_{c2}\to 2(π^+π^-)]=(1.153\pm 0.001~(\mathrm{stat.})\pm 0.063~(\mathrm{syst.}))$\%.

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Search for $e^{+}e^{-} \to ϕχ_{c0}$ and $ϕη_{c2}(1D)$ at center-of-mass energies from 4.47 to 4.95 GeV

Utilizing a data set of $6.7$ fb$^{-1}$ from electron-positron collisions recorded by the BESIII detector at the BEPCII storage ring, a search is conducted for the processes $e^{+}e^{-} \to ϕχ_{c0}$ and $ϕη_{c2}(1D)$ across center-of-mass energies from 4.47 to 4.95 GeV. In the absence of any significant signals, upper limits are set. These include limits on the Born cross sections for $e^{+}e^{-} \to ϕχ_{c0}$, as well as the product of the Born cross section for $e^{+}e^{-} \to ϕη_{c2}(1D)$ and a sum of five branching fractions. Furthermore, the product of the electronic width of $Y(4660)$ and the branching fraction of the $Y(4660) \to ϕχ_{c0}$, denoted as $Γ^{Y(4660)}_{e^{+}e^{-}} \mathcal{B}_{Y(4660) \to ϕχ_{c0}}$, is determined to be $< 0.40$ eV at the 90\% confidence level.

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Observation of $χ_{cJ}\to p \bar p K^0_S K^- π^+ + c.c.$

By analyzing $(27.12\pm0.14)\times10^8$ $ψ(3686)$ events collected with the BESIII detector operating at the BEPCII collider, the decays of $χ_{cJ} \to p \bar{p} K^0_S K^- π^+ +c.c.(J=0, 1, 2)$ are observed for the first time with statistical significances greater than $10σ$. The branching fractions of these decays are determined to be $\mathcal{B}(χ_{c0}\to p \bar p K^{0}_{S} K^- π^+ + c.c.)=(2.61\pm0.27\pm0.32)\times10^{-5},$ $\mathcal{B}(χ_{c1}\to p \bar p K^{0}_{S} K^- π^+ + c.c.)=(4.16\pm0.24\pm0.46)\times10^{-5},$ and $\mathcal{B}(χ_{c2}\to p \bar p K^{0}_{S} K^- π^+ + c.c.)=(5.63\pm0.28\pm0.46)\times10^{-5}$, respectively. The processes $χ_{c1,2} \to \bar{p} Λ(1520) K^0_S π^{+} + c.c.$ are also observed, with statistical significances of 5.7$σ$ and 7.0$σ$, respectively. Evidence for $χ_{c0} \to\bar{p} Λ(1520) K^0_S π^{+} + c.c.$ is found with statistical significances of 3.3$σ$ each. The corresponding branching fractions are determined to be $\mathcal{B}(χ_{c0}\to \bar{p} Λ(1520) K^0_S π^{+} + c.c.) =(1.61^{+0.68}_{-0.64}\pm0.23)\times10^{-5}$, $\mathcal{B}(χ_{c1}\to \bar{p} Λ(1520) K^0_S π^{+} + c.c.)=(4.06^{+0.80}_{-0.76}\pm0.52)\times10^{-5}$, and $\mathcal{B}(χ_{c2}\to \bar{p} Λ(1520) K^0_S π^{+} + c.c.)=(4.09^{+0.87}_{-0.84}\pm0.42)\times10^{-5}$. Here, the first uncertainties are statistical and the second ones are systematic.

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Search for the massless dark photon with $D^0\toωγ'$ and $D^0\toγγ'$

Using $7.9~\rm{fb^{-1}}$ of $e^+e^-$ collision data collected at $\sqrt{s}=3.773$ GeV with the BESIII detector at the BEPCII collider, we search for the massless dark photon with the flavor-changing neutral current processes $D^0\toωγ'$ and $D^0\toγγ'$ for the first time. No significant signals are observed, and the upper limits at the 90% confidence level on the massless dark photon branching fraction are set to be $1.1\times10^{-5}$ and $2.0\times10^{-6}$ for $D^0\toωγ'$ and $D^0\toγγ'$, respectively. These results provide the most stringent constraint on the new physics energy scale associated with $cuγ'$ coupling in the world, with the new physics energy scale related parameter $|\mathbb{C}|^2+|\mathbb{C}_5|^2<8.2\times10^{-17}~\rm{GeV}^{-2}$ at the 90% confidence level.

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Search for the radiative decays $D^+\toγρ^+$ and $D^+\toγK^{*+}$

We search for the radiative decays $D^{+} \to γρ^+$ and $D^{+} \to γK^{*+}$ using 20.3~fb$^{-1}$ of $e^+e^-$ annihilation data collected at the center-of-mass energy $\sqrt{s}=3.773$ GeV by the BESIII detector operating at the BEPCII collider. No significant signals are observed, and the upper limits on the branching fractions of $D^{+} \to γρ^+$ and $D^{+} \to γK^{*+}$ at 90\% confidence level are set to be $1.3\times10^{-5}$ and $1.8\times10^{-5}$, respectively.

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