Possible precise measurements of the $X(3872)$ mass with the $e^+e^-\to\pi^0\gamma X(3872)$ and $p\bar p\to\gamma X(3872)$ reactions - INSPIRE

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Possible precise measurements of the $X(3872)$ mass with the $e^+e^-\to\pi^0\gamma X(3872)$ and $p\bar p\to\gamma X(3872)$ reactions

Shuntaro Sakai
(
- Beijing, Inst. Theor. Phys. and
- Beijing, KITPC
)
,
Hao-Jie Jing
(
- Beijing, Inst. Theor. Phys. and
- Beijing, GUCAS
)
,
Feng-Kun Guo
(
- Beijing, Inst. Theor. Phys. and
- Beijing, GUCAS
)

Aug 25, 2020

14 pages

Published in:

Phys.Rev.D 102 (2020) 11, 114041

Published: Dec 30, 2020

e-Print:

2008.10829 [hep-ph]

DOI:

10.1103/PhysRevD.102.114041

View in:

ADS Abstract Service

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Abstract: (APS)

It was recently proposed that the X(3872) binding energy, the difference between the D0D¯*0 threshold and the X(3872) mass, can be precisely determined by measuring the γX(3872) line shape from a short-distance D*0D¯*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-→π0γX(3872) and pp¯→γX(3872) processes considering the D*0D¯*0D0/D¯*0D*0D¯0 triangle loops. These loops can produce a triangle singularity slightly above the D*0D¯*0 threshold. It is found that the peak structures originating from the D*0D¯*0 threshold cusp and the triangle singularity are not altered much by the energy dependence introduced by the e+e-→π0D*0D¯*0 and pp¯→D¯*0D*0 production parts or by considering a finite width for the X(3872). We find that σ(e+e-→π0γX(3872))×Br(X(3872)→π+π-J/ψ) is O(0.1 fb) with the γX(3872) invariant mass integrated from 4.01 to 4.02 GeV and the c.m. energy of the e+e- pair fixed at 4.23 GeV. The cross section σ(pp¯→γX(3872))×Br(X(3872)→π+π-J/ψ) is estimated to be of O(10 pb). Our results suggest that a precise measurement of the X(3872) binding energy can be done at PANDA.

Note:

29 pages, 11 figures

Strong Interactions
width: finite
X(3872)
binding energy
singularity
energy dependence
structure
PANDA

References(74)

Figures(16)

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