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• W3080463392 abstract "It was recently proposed that the $X(3872)$ binding energy, the difference between the ${D}^{0}{overline{D}}^{*0}$ threshold and the $X(3872)$ mass, can be precisely determined by measuring the $ensuremath{gamma}X(3872)$ line shape from a short-distance ${D}^{*0}{overline{D}}^{*0}$ source produced at high-energy experiments. Here, we investigate the feasibility of such a proposal by estimating the cross sections for the ${e}^{+}{e}^{ensuremath{-}}ensuremath{rightarrow}{ensuremath{pi}}^{0}ensuremath{gamma}X(3872)$ and $poverline{p}ensuremath{rightarrow}ensuremath{gamma}X(3872)$ processes considering the ${D}^{*0}{overline{D}}^{*0}{D}^{0}/{overline{D}}^{*0}{D}^{*0}{overline{D}}^{0}$ triangle loops. These loops can produce a triangle singularity slightly above the ${D}^{*0}{overline{D}}^{*0}$ threshold. It is found that the peak structures originating from the ${D}^{*0}{overline{D}}^{*0}$ threshold cusp and the triangle singularity are not altered much by the energy dependence introduced by the ${e}^{+}{e}^{ensuremath{-}}ensuremath{rightarrow}{ensuremath{pi}}^{0}{D}^{*0}{overline{D}}^{*0}$ and $poverline{p}ensuremath{rightarrow}{overline{D}}^{*0}{D}^{*0}$ production parts or by considering a finite width for the $X(3872)$. We find that $ensuremath{sigma}({e}^{+}{e}^{ensuremath{-}}ensuremath{rightarrow}{ensuremath{pi}}^{0}ensuremath{gamma}X(3872))ifmmodetimeselsetexttimesfi{}mathrm{Br}(X(3872)ensuremath{rightarrow}{ensuremath{pi}}^{+}{ensuremath{pi}}^{ensuremath{-}}J/ensuremath{psi})$ is $mathcal{O}(0.1text{ }text{ }mathrm{fb})$ with the $ensuremath{gamma}X(3872)$ invariant mass integrated from 4.01 to 4.02 GeV and the c.m. energy of the ${e}^{+}{e}^{ensuremath{-}}$ pair fixed at 4.23 GeV. The cross section $ensuremath{sigma}(poverline{p}ensuremath{rightarrow}ensuremath{gamma}X(3872))ifmmodetimeselsetexttimesfi{}mathrm{Br}(X(3872)ensuremath{rightarrow}{ensuremath{pi}}^{+}{ensuremath{pi}}^{ensuremath{-}}J/ensuremath{psi})$ is estimated to be of $mathcal{O}(10text{ }text{ }mathrm{pb})$. Our results suggest that a precise measurement of the $X(3872)$ binding energy can be done at PANDA." @default.
• W3080463392 created "2020-09-01" @default.
• W3080463392 creator A5063845753 @default.
• W3080463392 creator A5066151154 @default.
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• W3080463392 date "2020-12-29" @default.
• W3080463392 modified "2023-10-14" @default.
• W3080463392 title "Possible precise measurements of the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>X</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mn>3872</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math> mass with the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo stretchy=false>→</mml:mo><mml:msup><mml:mi>π</mml:mi><…" @default.
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• W3080463392 doi "https://doi.org/10.1103/physrevd.102.114041" @default.
• W3080463392 hasPublicationYear "2020" @default.
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