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The red rectangle indicates the signal region. : Caption not extracted","filename":"w1_phiEtap_etapipi_Mphi-Metap-data.png","material":"preprint"},{"key":"c22c1732c57a4af9e9523aa039b5dec0","url":"https://inspirehep.net/files/c22c1732c57a4af9e9523aa039b5dec0","label":"pic:3773-fit","source":"arxiv","caption":" : ","filename":"w2_3773fit.png","material":"preprint"},{"key":"0088302047b650e9b0c95522b314349b","url":"https://inspirehep.net/files/0088302047b650e9b0c95522b314349b","label":"pic:3773-fit","source":"arxiv","caption":" : The unbinned maximum likelihood fits on the distributions of $M(\\gampipi)$ for mode I (a) and $M(\\etapipi)$ for mode II (b) at $\\sqrt s =$3.773~GeV. The black dots with error bars represent the data sample, the red dot-dashed lines represent the signal MC sample, the green dashed lines are the fitted background and the blue solid lines represent the total fit. The signal region lies between the two pink solid arrows. : Caption not extracted","filename":"w3_3773fit-etapipi-scale.png","material":"preprint"},{"key":"e50de55d2fbc4c123f903c1f75a4dcd4","url":"https://inspirehep.net/files/e50de55d2fbc4c123f903c1f75a4dcd4","label":"pic:fittingcs","source":"arxiv","caption":" : ","filename":"w4_Bestfit-continuum.png","material":"preprint"},{"key":"0b2b995f662fd1529d49047e5d0382f4","url":"https://inspirehep.net/files/0b2b995f662fd1529d49047e5d0382f4","label":"pic:fittingcs","source":"arxiv","caption":" :  : Dressed cross sections of the \\eetophietap process and the fits under different assumptions: (a) continuum amplitude only; (b) coherent sum of continuum and $\\pspp$ amplitudes, the solution with $\\Phi=2.0$~rad, $\\BR_{\\phi\\etap}=4.6\\times 10^{-6}$, and the significance of the \\psipptophietap~decay is $1.5\\sigma$; (c) coherent sum of continuum and $\\pspp$ amplitudes, the solution with $\\Phi=4.7$~rad, $\\BR_{\\phi\\etap}=1.9\\times10^{-3}$, and the significance of the \\psipptophietap~decay is $1.6\\sigma$. The black dots with error bars are data. The red solid lines are the total fits, the magenta dot dashed lines represent the $\\pspp$ component, and the blue dashed lines the continuum process.","filename":"w5_Bestfit-phi-pi.png","material":"preprint"},{"key":"204bc1bfb3fb026efe536b435ced0300","url":"https://inspirehep.net/files/204bc1bfb3fb026efe536b435ced0300","label":"pic:fittingcs","source":"arxiv","caption":" : Caption not extracted","filename":"w6_Bestfit-phi-05pi.png","material":"preprint"},{"key":"17e378830ab219298837a974c8e80246","url":"https://inspirehep.net/files/17e378830ab219298837a974c8e80246","label":"pic:scanpar","source":"arxiv","caption":" : ","filename":"w7_scan_0_2pi.png","material":"preprint"},{"key":"b76c415fcd5159257c52a2b5b38cbade","url":"https://inspirehep.net/files/b76c415fcd5159257c52a2b5b38cbade","label":"pic:scanpar","source":"arxiv","caption":" : The two-dimensional scan result of the parameters $\\BR_{\\phi\\etap}$ and $\\Phi$. In (a), the $y$-axis is from 0 to $2.3\\times10^{-3}$, and the upper right contour corresponds to Fig.~\\ref{pic:fittingcs}(c) and the bottom contour corresponds to Fig.~\\ref{pic:fittingcs}(b), respectively; in (b), the $y$-axis is from 0 to $2.3\\times10^{-4}$ (Plot (b) is the subset of plot (a)). The color in the figure represents the value of $\\chi^2$ in different $\\sigma$ intervals defined in Eq.~(\\ref{equ:58}). : Caption not extracted","filename":"w8_scan_except_mxsolution.png","material":"preprint"},{"key":"be25419f4c08b2b5d6bad523801e12a2","url":"https://inspirehep.net/files/be25419f4c08b2b5d6bad523801e12a2","label":"pic:scan-phi","source":"arxiv","caption":"The distribution of the likelihood versus $\\BR_{\\phi\\etap}$, with the phase $\\Phi$ fixed to 2.81~rad. The black arrow shows the result corresponding to the 90\\% C.L.","filename":"w9_scan-pi-combine.png","material":"preprint"}],"license":[{"url":"https://creativecommons.org/licenses/by/4.0/","license":"CC BY 4.0","material":"publication"},{"url":"http://creativecommons.org/licenses/by/4.0/","license":"CC BY 4.0","material":"preprint"}],"texkeys":["BESIII:2023tex","BESIII:2023wot"],"citeable":true,"imprints":[{"date":"2023-09-01"}],"keywords":[{"value":"electron positron: annihilation","schema":"INSPIRE"},{"value":"electron positron: colliding beams","schema":"INSPIRE"},{"value":"Phi(1020): electroproduction","schema":"INSPIRE"},{"value":"eta(958): electroproduction","schema":"INSPIRE"},{"value":"channel cross section: measured","schema":"INSPIRE"},{"value":"energy dependence","schema":"INSPIRE"},{"value":"psi(3770): hadronic decay","schema":"INSPIRE"},{"value":"BES","schema":"INSPIRE"},{"value":"Jona-Lasinio-Nambu model","schema":"INSPIRE"},{"value":"Beijing Stor","schema":"INSPIRE"},{"value":"psi(3770): branching ratio","schema":"INSPIRE"},{"value":"branching ratio: upper limit","schema":"INSPIRE"},{"value":"experimental results","schema":"INSPIRE"},{"value":"electron positron --> Phi(1020) eta(958)","schema":"INSPIRE"},{"value":"psi(3770) --> Phi(1020) eta(958)","schema":"INSPIRE"},{"value":"3.508-4.951 GeV-cms","schema":"INSPIRE"},{"value":"Phi(1020)","schema":"INSPIRE"},{"value":"eta(958)","schema":"INSPIRE"},{"value":"psi(3770): electroproduction","schema":"INSPIRE"},{"value":"M053.17","schema":"PDG"}],"refereed":true,"abstracts":[{"value":"The cross sections of the <math display=\"inline\"><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>-</mo></msup><mo stretchy=\"false\">→</mo><mi>ϕ</mi><msup><mi>η</mi><mo>′</mo></msup></math> process at center-of-mass energies from 3.508 to 4.951 GeV are measured with high precision using <math display=\"inline\"><mn>26.1</mn><mtext> </mtext><mtext> </mtext><msup><mi>fb</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math> data collected with the BESIII detector operating at the BEPCII storage ring. The cross sections are of the order of a few picobarn and decrease as the center-of-mass energy increases as <math display=\"inline\"><msup><mi>s</mi><mrow><mo>-</mo><mi>n</mi><mo>/</mo><mn>2</mn></mrow></msup></math> with <math display=\"inline\"><mi>n</mi><mo>=</mo><mn>4.35</mn><mo>±</mo><mn>0.14</mn></math>. This result is in agreement with the Nambu-Jona-Lasinio model prediction of <math display=\"inline\"><mi>n</mi><mo>=</mo><mn>3.5</mn><mo>±</mo><mn>0.9</mn></math>. In addition, the charmless decay <math display=\"inline\"><mi>ψ</mi><mo stretchy=\"false\">(</mo><mn>3770</mn><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">→</mo><mi>ϕ</mi><msup><mi>η</mi><mo>′</mo></msup></math> is searched for by fitting the measured cross sections, yet no significant signal is observed. The upper limit of <math display=\"inline\"><mi mathvariant=\"script\">B</mi><mo stretchy=\"false\">(</mo><mi>ψ</mi><mo stretchy=\"false\">(</mo><mn>3770</mn><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">→</mo><mi>ϕ</mi><msup><mi>η</mi><mo>′</mo></msup><mo stretchy=\"false\">)</mo></math> at the 90% confidence level is determined to be <math display=\"inline\"><mn>2.3</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>5</mn></mrow></msup></math>.","source":"APS"},{"value":"The cross sections of the $e^{+}e^{-}\\to\\phi\\eta'$ process at center-of-mass energies from 3.508 to 4.951 GeV are measured with high precision using 26.1 fb$^{-1}$ data collected with the BESIII detector operating at the BEPCII storage ring. The cross sections are of the order of a few picobarn, and decrease as the center-of-mass energy increases as $s^{-n/2}$ with $n=4.35\\pm 0.14$. This result is in agreement with the Nambu-Jona-Lasinio model prediction of $n=3.5\\pm 0.9$. In addition, the charmless decay $\\psi(3770)\\to\\phi\\eta'$ is searched for by fitting the measured cross sections, yet no significant signal is observed. The upper limit of ${\\cal B}(\\psi(3770)\\to\\phi\\eta')$ at the 90% confidence level is determined to be $2.3\\times 10^{-5}$.","source":"arXiv"}],"copyright":[{"year":2023,"holder":"authors","material":"publication","statement":"Published by the American Physical Society"}],"references":[{"record":{"$ref":"https://inspirehep.net/api/literature/1263127"},"raw_refs":[{"value":"<ref id=\"c1\"><label>[1]</label><mixed-citation publication-type=\"journal\"><object-id>1</object-id><person-group person-group-type=\"author\"><string-name>M. Davier</string-name></person-group>, <source>Annu. Rev. Nucl. Part. 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