Improved measurement of the strong-phase difference \delta _D^{K\pi } in quantum-correlated DD¯ decays
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- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000885083000002&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1140/epjc/s10052-022-10872-2
- eISSN
- 1434-6052
- Externe Identifier
- Clarivate Analytics Document Solution ID: 6G9PN
- ISSN
- 1434-6044
- Ausgabe der Veröffentlichung
- 11
- Zeitschrift
- EUROPEAN PHYSICAL JOURNAL C
- Artikelnummer
- ARTN 1009
- Datum der Veröffentlichung
- 2022
- Status
- Published
- Titel
- Improved measurement of the strong-phase difference δ<i><sub>D</sub></i><SUP><i>K</i>π </SUP>in quantum-correlated <i>D</i>(<i>D</i>)over-bar decays<SUP> </SUP>
- Sub types
- Article
- Ausgabe der Zeitschrift
- 82
Datenquelle: Web of Science (Lite)
- Andere Metadatenquellen:
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- Abstract
- <jats:title>Abstract</jats:title><jats:p>The decay <jats:inline-formula><jats:alternatives><jats:tex-math>$$D \rightarrow K^-\pi ^+$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo>→</mml:mo> <mml:msup> <mml:mi>K</mml:mi> <mml:mo>-</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>+</mml:mo> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> is studied in a sample of quantum-correlated <jats:inline-formula><jats:alternatives><jats:tex-math>$$D{\bar{D}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mover> <mml:mrow> <mml:mi>D</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> pairs, based on a data set corresponding to an integrated luminosity of 2.93 fb<jats:inline-formula><jats:alternatives><jats:tex-math>$$^{-1}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow /> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula> collected at the <jats:inline-formula><jats:alternatives><jats:tex-math>$$\psi (3770)$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>ψ</mml:mi> <mml:mo>(</mml:mo> <mml:mn>3770</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> resonance by the BESIII experiment. The asymmetry between <jats:inline-formula><jats:alternatives><jats:tex-math>$$C\!P$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> <mml:mspace /> <mml:mi>P</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>-odd and <jats:inline-formula><jats:alternatives><jats:tex-math>$$C\!P$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> <mml:mspace /> <mml:mi>P</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>-even eigenstate decays into <jats:inline-formula><jats:alternatives><jats:tex-math>$$K^-\pi ^+$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>K</mml:mi> <mml:mo>-</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>+</mml:mo> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> is determined to be <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\mathcal {A}}}_{K\pi } = 0.132 \pm 0.011 \pm 0.007$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>A</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msub> <mml:mo>=</mml:mo> <mml:mn>0.132</mml:mn> <mml:mo>±</mml:mo> <mml:mn>0.011</mml:mn> <mml:mo>±</mml:mo> <mml:mn>0.007</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>, where the first uncertainty is statistical and the second is systematic. This measurement is an update of an earlier study exploiting additional tagging modes, including several decay modes involving a <jats:inline-formula><jats:alternatives><jats:tex-math>$$K^0_L$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>K</mml:mi> <mml:mi>L</mml:mi> <mml:mn>0</mml:mn> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> meson. The branching fractions of the <jats:inline-formula><jats:alternatives><jats:tex-math>$$K^0_L$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>K</mml:mi> <mml:mi>L</mml:mi> <mml:mn>0</mml:mn> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> modes are determined as input to the analysis in a manner that is independent of any strong phase uncertainty. Using the predominantly <jats:inline-formula><jats:alternatives><jats:tex-math>$$C\!P$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> <mml:mspace /> <mml:mi>P</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>-even tag <jats:inline-formula><jats:alternatives><jats:tex-math>$$D\rightarrow \pi ^+\pi ^-\pi ^0$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo>→</mml:mo> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>-</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mn>0</mml:mn> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> and the ensemble of <jats:inline-formula><jats:alternatives><jats:tex-math>$$C\!P$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> <mml:mspace /> <mml:mi>P</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>-odd eigenstate tags, the observable <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\mathcal {A}}}_{K\pi }^{\pi \pi \pi ^0}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>A</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>π</mml:mi> <mml:mi>π</mml:mi> <mml:msup> <mml:mi>π</mml:mi> <mml:mn>0</mml:mn> </mml:msup> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> is measured to be <jats:inline-formula><jats:alternatives><jats:tex-math>$$0.130 \pm 0.012 \pm 0.008$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>0.130</mml:mn> <mml:mo>±</mml:mo> <mml:mn>0.012</mml:mn> <mml:mo>±</mml:mo> <mml:mn>0.008</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>. The two asymmetries are sensitive to <jats:inline-formula><jats:alternatives><jats:tex-math>$$r_D^{K\pi }\cos \delta _D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msubsup> <mml:mi>r</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> <mml:mo>cos</mml:mo> <mml:msubsup> <mml:mi>δ</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>, where <jats:inline-formula><jats:alternatives><jats:tex-math>$$r_D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>r</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\delta _D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>δ</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> are the ratio of amplitudes and phase difference, respectively, between the doubly Cabibbo-suppressed and Cabibbo-favoured decays. In addition, events containing <jats:inline-formula><jats:alternatives><jats:tex-math>$$D \rightarrow K^-\pi ^+$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo>→</mml:mo> <mml:msup> <mml:mi>K</mml:mi> <mml:mo>-</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>+</mml:mo> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> tagged by <jats:inline-formula><jats:alternatives><jats:tex-math>$$D \rightarrow K^0_{S,L} \pi ^+\pi ^-$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo>→</mml:mo> <mml:msubsup> <mml:mi>K</mml:mi> <mml:mrow> <mml:mi>S</mml:mi> <mml:mo>,</mml:mo> <mml:mi>L</mml:mi> </mml:mrow> <mml:mn>0</mml:mn> </mml:msubsup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> are studied in bins of phase space of the three-body decays. This analysis has sensitivity to both <jats:inline-formula><jats:alternatives><jats:tex-math>$$r_D^{K\pi }\cos \delta _D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msubsup> <mml:mi>r</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> <mml:mo>cos</mml:mo> <mml:msubsup> <mml:mi>δ</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$r_D^{K\pi }\sin \delta _D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msubsup> <mml:mi>r</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> <mml:mo>sin</mml:mo> <mml:msubsup> <mml:mi>δ</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>. A fit to <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\mathcal {A}}}_{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>A</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\mathcal {A}}}_{K\pi }^{\pi \pi \pi ^0}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>A</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>π</mml:mi> <mml:mi>π</mml:mi> <mml:msup> <mml:mi>π</mml:mi> <mml:mn>0</mml:mn> </mml:msup> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> and the phase-space distribution of the <jats:inline-formula><jats:alternatives><jats:tex-math>$$D \rightarrow K^0_{S,L} \pi ^+\pi ^-$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo>→</mml:mo> <mml:msubsup> <mml:mi>K</mml:mi> <mml:mrow> <mml:mi>S</mml:mi> <mml:mo>,</mml:mo> <mml:mi>L</mml:mi> </mml:mrow> <mml:mn>0</mml:mn> </mml:msubsup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> tags yields <jats:inline-formula><jats:alternatives><jats:tex-math>$$\delta _D^{K\pi }= \left( 187.6 {^{+8.9}_{-9.7}}{^{+5.4}_{-6.4}} \right) ^{\circ }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msubsup> <mml:mi>δ</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> <mml:mo>=</mml:mo> <mml:msup> <mml:mfenced> <mml:mn>187.6</mml:mn> <mml:msubsup> <mml:mrow /> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>9.7</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>8.9</mml:mn> </mml:mrow> </mml:msubsup> <mml:msubsup> <mml:mrow /> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>6.4</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>5.4</mml:mn> </mml:mrow> </mml:msubsup> </mml:mfenced> <mml:mo>∘</mml:mo> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>, where external constraints are applied for <jats:inline-formula><jats:alternatives><jats:tex-math>$$r_D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>r</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> and other relevant parameters. This is the most precise measurement of <jats:inline-formula><jats:alternatives><jats:tex-math>$$\delta _D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>δ</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> in quantum-correlated <jats:inline-formula><jats:alternatives><jats:tex-math>$$D{\bar{D}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mover> <mml:mrow> <mml:mi>D</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> decays.</jats:p>
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- DOI
- 10.1140/epjc/s10052-022-10872-2
- eISSN
- 1434-6052
- Ausgabe der Veröffentlichung
- 11
- Zeitschrift
- The European Physical Journal C
- Sprache
- en
- Artikelnummer
- 1009
- Online publication date
- 2022
- Status
- Published online
- Herausgeber
- Springer Science and Business Media LLC
- Herausgeber URL
- http://dx.doi.org/10.1140/epjc/s10052-022-10872-2
- Datum der Datenerfassung
- 2022
- Titel
- Improved measurement of the strong-phase difference $$\delta _D^{K\pi }$$ in quantum-correlated $$D{\bar{D}}$$ decays
- Ausgabe der Zeitschrift
- 82
Datenquelle: Crossref
- Abstract
- <jats:title>Abstract</jats:title><jats:p>The decay <jats:inline-formula><jats:alternatives><jats:tex-math>$$D \rightarrow K^-\pi ^+$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo>→</mml:mo> <mml:msup> <mml:mi>K</mml:mi> <mml:mo>-</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>+</mml:mo> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> is studied in a sample of quantum-correlated <jats:inline-formula><jats:alternatives><jats:tex-math>$$D{\bar{D}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mover> <mml:mrow> <mml:mi>D</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> pairs, based on a data set corresponding to an integrated luminosity of 2.93 fb<jats:inline-formula><jats:alternatives><jats:tex-math>$$^{-1}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow /> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula> collected at the <jats:inline-formula><jats:alternatives><jats:tex-math>$$\psi (3770)$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>ψ</mml:mi> <mml:mo>(</mml:mo> <mml:mn>3770</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> resonance by the BESIII experiment. The asymmetry between <jats:inline-formula><jats:alternatives><jats:tex-math>$$C\!P$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> <mml:mspace /> <mml:mi>P</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>-odd and <jats:inline-formula><jats:alternatives><jats:tex-math>$$C\!P$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> <mml:mspace /> <mml:mi>P</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>-even eigenstate decays into <jats:inline-formula><jats:alternatives><jats:tex-math>$$K^-\pi ^+$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>K</mml:mi> <mml:mo>-</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>+</mml:mo> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> is determined to be <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\mathcal {A}}}_{K\pi } = 0.132 \pm 0.011 \pm 0.007$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>A</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msub> <mml:mo>=</mml:mo> <mml:mn>0.132</mml:mn> <mml:mo>±</mml:mo> <mml:mn>0.011</mml:mn> <mml:mo>±</mml:mo> <mml:mn>0.007</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>, where the first uncertainty is statistical and the second is systematic. This measurement is an update of an earlier study exploiting additional tagging modes, including several decay modes involving a <jats:inline-formula><jats:alternatives><jats:tex-math>$$K^0_L$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>K</mml:mi> <mml:mi>L</mml:mi> <mml:mn>0</mml:mn> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> meson. The branching fractions of the <jats:inline-formula><jats:alternatives><jats:tex-math>$$K^0_L$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>K</mml:mi> <mml:mi>L</mml:mi> <mml:mn>0</mml:mn> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> modes are determined as input to the analysis in a manner that is independent of any strong phase uncertainty. Using the predominantly <jats:inline-formula><jats:alternatives><jats:tex-math>$$C\!P$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> <mml:mspace /> <mml:mi>P</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>-even tag <jats:inline-formula><jats:alternatives><jats:tex-math>$$D\rightarrow \pi ^+\pi ^-\pi ^0$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo>→</mml:mo> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>-</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mn>0</mml:mn> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> and the ensemble of <jats:inline-formula><jats:alternatives><jats:tex-math>$$C\!P$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> <mml:mspace /> <mml:mi>P</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>-odd eigenstate tags, the observable <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\mathcal {A}}}_{K\pi }^{\pi \pi \pi ^0}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>A</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>π</mml:mi> <mml:mi>π</mml:mi> <mml:msup> <mml:mi>π</mml:mi> <mml:mn>0</mml:mn> </mml:msup> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> is measured to be <jats:inline-formula><jats:alternatives><jats:tex-math>$$0.130 \pm 0.012 \pm 0.008$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>0.130</mml:mn> <mml:mo>±</mml:mo> <mml:mn>0.012</mml:mn> <mml:mo>±</mml:mo> <mml:mn>0.008</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>. The two asymmetries are sensitive to <jats:inline-formula><jats:alternatives><jats:tex-math>$$r_D^{K\pi }\cos \delta _D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msubsup> <mml:mi>r</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> <mml:mo>cos</mml:mo> <mml:msubsup> <mml:mi>δ</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>, where <jats:inline-formula><jats:alternatives><jats:tex-math>$$r_D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>r</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\delta _D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>δ</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> are the ratio of amplitudes and phase difference, respectively, between the doubly Cabibbo-suppressed and Cabibbo-favoured decays. In addition, events containing <jats:inline-formula><jats:alternatives><jats:tex-math>$$D \rightarrow K^-\pi ^+$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo>→</mml:mo> <mml:msup> <mml:mi>K</mml:mi> <mml:mo>-</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>+</mml:mo> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> tagged by <jats:inline-formula><jats:alternatives><jats:tex-math>$$D \rightarrow K^0_{S,L} \pi ^+\pi ^-$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo>→</mml:mo> <mml:msubsup> <mml:mi>K</mml:mi> <mml:mrow> <mml:mi>S</mml:mi> <mml:mo>,</mml:mo> <mml:mi>L</mml:mi> </mml:mrow> <mml:mn>0</mml:mn> </mml:msubsup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> are studied in bins of phase space of the three-body decays. This analysis has sensitivity to both <jats:inline-formula><jats:alternatives><jats:tex-math>$$r_D^{K\pi }\cos \delta _D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msubsup> <mml:mi>r</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> <mml:mo>cos</mml:mo> <mml:msubsup> <mml:mi>δ</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$r_D^{K\pi }\sin \delta _D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msubsup> <mml:mi>r</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> <mml:mo>sin</mml:mo> <mml:msubsup> <mml:mi>δ</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>. A fit to <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\mathcal {A}}}_{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>A</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\mathcal {A}}}_{K\pi }^{\pi \pi \pi ^0}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>A</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>π</mml:mi> <mml:mi>π</mml:mi> <mml:msup> <mml:mi>π</mml:mi> <mml:mn>0</mml:mn> </mml:msup> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> and the phase-space distribution of the <jats:inline-formula><jats:alternatives><jats:tex-math>$$D \rightarrow K^0_{S,L} \pi ^+\pi ^-$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo>→</mml:mo> <mml:msubsup> <mml:mi>K</mml:mi> <mml:mrow> <mml:mi>S</mml:mi> <mml:mo>,</mml:mo> <mml:mi>L</mml:mi> </mml:mrow> <mml:mn>0</mml:mn> </mml:msubsup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> tags yields <jats:inline-formula><jats:alternatives><jats:tex-math>$$\delta _D^{K\pi }= \left( 187.6 {^{+8.9}_{-9.7}}{^{+5.4}_{-6.4}} \right) ^{\circ }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msubsup> <mml:mi>δ</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> <mml:mo>=</mml:mo> <mml:msup> <mml:mfenced> <mml:mn>187.6</mml:mn> <mml:msubsup> <mml:mrow /> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>9.7</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>8.9</mml:mn> </mml:mrow> </mml:msubsup> <mml:msubsup> <mml:mrow /> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>6.4</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>5.4</mml:mn> </mml:mrow> </mml:msubsup> </mml:mfenced> <mml:mo>∘</mml:mo> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>, where external constraints are applied for <jats:inline-formula><jats:alternatives><jats:tex-math>$$r_D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>r</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> and other relevant parameters. This is the most precise measurement of <jats:inline-formula><jats:alternatives><jats:tex-math>$$\delta _D^{K\pi }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>δ</mml:mi> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> in quantum-correlated <jats:inline-formula><jats:alternatives><jats:tex-math>$$D{\bar{D}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mover> <mml:mrow> <mml:mi>D</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> decays.</jats:p>
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- XP Qin
- XS Qin
- ZH Qin
- JF Qiu
- SQ Qu
- SQ Qu
- KH Rashid
- CF Redmer
- KJ Ren
- A Rivetti
- V Rodin
- M Rolo
- G Rong
- Ch Rosner
- SN Ruan
- HS Sang
- A Sarantsev
- Y Schelhaas
- C Schnier
- K Schoenning
- M Scodeggio
- KY Shan
- W Shan
- XY Shan
- JF Shangguan
- LG Shao
- M Shao
- CP Shen
- HF Shen
- XY Shen
- BA Shi
- HC Shi
- JY Shi
- QQ Shi
- RS Shi
- X Shi
- XD Shi
- JJ Song
- WM Song
- YX Song
- S Sosio
- S Spataro
- F Stieler
- KX Su
- PP Su
- YJ Su
- GX Sun
- H Sun
- HK Sun
- JF Sun
- L Sun
- SS Sun
- T Sun
- WY Sun
- X Sun
- YJ Sun
- YZ Sun
- ZT Sun
- YH Tan
- YX Tan
- CJ Tang
- GY Tang
- J Tang
- LY Tao
- QT Tao
- M Tat
- JX Teng
- V Thoren
- WH Tian
- Y Tian
- I Uman
- B Wang
- BL Wang
- CW Wang
- DY Wang
- F Wang
- HJ Wang
- HP Wang
- K Wang
- LL Wang
- M Wang
- MZ Wang
- Meng Wang
- S Wang
- S Wang
- T Wang
- TJ Wang
- W Wang
- WH Wang
- WP Wang
- X Wang
- XF Wang
- XL Wang
- YD Wang
- YF Wang
- YH Wang
- YQ Wang
- Yaqian Wang
- Yi Wang
- Z Wang
- ZY Wang
- Ziyi Wang
- DH Wei
- F Weidner
- SP Wen
- DJ White
- U Wiedner
- G Wilkinson
- M Wolke
- L Wollenberg
- JF Wu
- LH Wu
- LJ Wu
- X Wu
- XH Wu
- Y Wu
- Z Wu
- L Xia
- T Xiang
- D Xiao
- GY Xiao
- H Xiao
- SY Xiao
- YL Xiao
- ZJ Xiao
- C Xie
- XH Xie
- Y Xie
- YG Xie
- YH Xie
- ZP Xie
- TY Xing
- CF Xu
- CJ Xu
- GF Xu
- HY Xu
- QJ Xu
- SY Xu
- XP Xu
- YC Xu
- ZP Xu
- F Yan
- L Yan
- WB Yan
- WC Yan
- HJ Yang
- HL Yang
- HX Yang
- L Yang
- SL Yang
- Tao Yang
- YF Yang
- YX Yang
- Yifan Yang
- M Ye
- MH Ye
- JH Yin
- ZY You
- BX Yu
- CX Yu
- G Yu
- T Yu
- XD Yu
- CZ Yuan
- L Yuan
- SC Yuan
- XQ Yuan
- Y Yuan
- ZY Yuan
- CX Yue
- AA Zafar
- FR Zeng
- X Zeng
- Y Zeng
- YH Zhan
- AQ Zhang
- BL Zhang
- BX Zhang
- DH Zhang
- GY Zhang
- H Zhang
- HH Zhang
- HH Zhang
- HY Zhang
- JL Zhang
- JQ Zhang
- JW Zhang
- JX Zhang
- JY Zhang
- JZ Zhang
- Jianyu Zhang
- Jiawei Zhang
- LM Zhang
- LQ Zhang
- Lei Zhang
- P Zhang
- QY Zhang
- Shuihan Zhang
- Shulei Zhang
- XD Zhang
- XM Zhang
- XY Zhang
- XY Zhang
- Y Zhang
- YT Zhang
- YH Zhang
- Yan Zhang
- Yao Zhang
- ZH Zhang
- ZY Zhang
- ZY Zhang
- G Zhao
- J Zhao
- JY Zhao
- JZ Zhao
- Lei Zhao
- Ling Zhao
- MG Zhao
- Q Zhao
- SJ Zhao
- YB Zhao
- YX Zhao
- ZG Zhao
- A Zhemchugov
- B Zheng
- JP Zheng
- YH Zheng
- B Zhong
- C Zhong
- X Zhong
- H Zhou
- LP Zhou
- X Zhou
- XK Zhou
- XR Zhou
- XY Zhou
- YZ Zhou
- J Zhu
- K Zhu
- KJ Zhu
- LX Zhu
- SH Zhu
- SQ Zhu
- TJ Zhu
- WJ Zhu
- YC Zhu
- ZA Zhu
- BS Zou
- JH Zou
- DOI
- 10.1140/epjc/s10052-022-10872-2
- eISSN
- 1434-6052
- Ausgabe der Veröffentlichung
- 11
- Zeitschrift
- The European Physical Journal C
- Sprache
- en
- Artikelnummer
- 1009
- Online publication date
- 2022
- Status
- Published online
- Herausgeber
- Springer Science and Business Media LLC
- Herausgeber URL
- http://dx.doi.org/10.1140/epjc/s10052-022-10872-2
- Datum der Datenerfassung
- 2023
- Titel
- Improved measurement of the strong-phase difference \delta _D^{K\pi } in quantum-correlated DD¯ decays
- Ausgabe der Zeitschrift
- 82
Datenquelle: Manual
- Beziehungen:
- Eigentum von