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- Title
Triangle singularity in B-→K-X(3872);X→π0π+π- and the X(3872) mass.
- Authors
Molina, Raquel; Oset, Eulogio
- Abstract
We evaluate the contribution to the X(3872) width from a triangle mechanism in which the X decays into D ∗ 0 D ¯ 0 - c c , then the D ∗ 0 ( D ¯ ∗ 0) decays into D 0 π 0 ( D ¯ 0 π 0 ) and the D 0 D ¯ 0 fuse to produce π + π - . This mechanism produces an asymmetric peak from a triangle singularity in the π + π - invariant mass with a shape very sensitive to the X mass. We evaluate the branching ratios for a reaction where this effect can be seen in the B - → K - π 0 π + π - reaction and show that the determination of the peak in the invariant mass distribution of π + π - is all that is needed to determine the X mass. Given the present uncertainties in the X mass, which do not allow to know whether the D ∗ 0 D ¯ 0 state is bound or not, measurements like the one suggested here should be most welcome to clarify this issue.
- Subjects
TRIANGLES; BRANCHING ratios; MASS transfer coefficients
- Publication
European Physical Journal C -- Particles & Fields, 2020, Vol 80, Issue 5, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-020-8014-7