Analysis of the quantum numbers of the X(3872)

Analysis of the quantum numbers of the X(3872)

On this web page we present the constraints on the quantum numbers spin, parity and charge parity of the X(3872) state derived from the measurement of angular distributions.
The results were blessed in the B Physics Meeting on March 16, 2006 and are published in:

Preprint: hep-ex/0612053
PRL: Phys. Rev. Lett 98, 132002 (2007)

Our measurement shows that only the hypotheses

J^PC = 1⁺⁺ and 2^-+

are compatible with data. All other considered J^PC assupmtions are ruled out by more than three standard deviations (99.7% CL).
The analysis is summarized in more detail in CDF note 8201.

The following tables and figures are available for download:

Table II (png, tex): χ² values and probabilities for the X(3872)
Table III (png, tex): χ² values and probabilities for the ψ(2S)

Figure 1 (png): J/ψππ mass spectrum, wide range with ψ(2S) and X peak
Figure 2 (png): J/ψππ mass spectrum, narrow range with X peak only
Figure 7a (gif), 7b (gif), 7c (gif), 7d (gif): Impact of detector effects and selection cuts on the angular distributions for the 1⁺⁺ hypothesis
Figure 8a (gif), 8b (gif), 8c (gif), 8d (gif): Impact of detector effects and selection cuts on the angular distributions for the 1^-- hypothesis
Figure 9a (png), 9b (png): Mass fits in bins of three dimensional angular distribution
Figure 10 (png): Angular distribution of the X(3872) compared to predictions
Figure 11 (png): Angular distribution of the ψ(2S) compared to predictions
Figure 12 (png): Systematic checks for the X(3872)
Figure 13 (png): Systematic checks for the ψ(2S)

In addition the following figures may be used for illustrational purposes:

Figure 3 (gif): Schematic view of the X decay topology
Figure 4a (png), 4b (png): Definition of decay angles
Figure 5 (gif): Predicted ΔΦ distribution for three different hypotheses
Figure 6 (gif): Correlation of decay angles

JPC = 1++ and 2-+

J^PC = 1⁺⁺ and 2^-+