Decay X(3872)→π0π+π− and S-wave D0D0→π+π− scattering length
The isospin-breaking decay X(3872)→(D*D + D*D)→π0DD→π0π+π− is discussed. In its amplitude there is a triangle logarithmic singularity, due to which the dominant contribution to BR(X(3872)→π0π+π−) comes from the production of the π+π− system in a narrow interval of the invariant mass mπ+π− near the v...
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| Veröffentlicht in: | Physical review. D 2019-06, Vol.99 (11), p.1 |
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| creator | Achasov, N Achasov Shestakov, G N |
| description | The isospin-breaking decay X(3872)→(D*D + D*D)→π0DD→π0π+π− is discussed. In its amplitude there is a triangle logarithmic singularity, due to which the dominant contribution to BR(X(3872)→π0π+π−) comes from the production of the π+π− system in a narrow interval of the invariant mass mπ+π− near the value of 2mD0 ≈ 3.73 GeV. The analysis shows that BR(X(3872)→π0π+π−) can be expected at the level of 10−3−10−4. This estimate includes, in particular, the assumption that the S-wave inelastic scattering length |αD0D0→π+π−′′|≈1/(2mD*+) ≈ 0.25 GeV−1. |
| doi_str_mv | 10.1103/PhysRevD.99.116023 |
| format | Article |
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The analysis shows that BR(X(3872)→π0π+π−) can be expected at the level of 10−3−10−4. 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| subjects | Decay Inelastic scattering |
| title | Decay X(3872)→π0π+π− and S-wave D0D0→π+π− scattering length |
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