Triangle singularity in $$B^-\rightarrow K^-X(3872);X\rightarrow \pi ^0\pi ^+\pi ^-$$ B-→K-X(3872);X→π0π+π- and the X(3872) mass
Abstract We evaluate the contribution to the X(3872) width from a triangle mechanism in which the X decays into $$D^{*0}{\bar{D}}^0 -cc$$ D∗0D¯0-cc , then the $$D^{*0} ({\bar{D}}^{*0})$$ D∗0(D¯∗0) decays into $$D^0 \pi ^0$$ D0π0 ($${\bar{D}}^0 \pi ^0$$ D¯0π0 ) and the $$D^0 {\bar{D}}^0$$ D0D¯0 fuse...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-05-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-8014-7 |
| _version_ | 1818502744369004544 |
|---|---|
| author | Raquel Molina Eulogio Oset |
| author_facet | Raquel Molina Eulogio Oset |
| author_sort | Raquel Molina |
| collection | DOAJ |
| description | Abstract We evaluate the contribution to the X(3872) width from a triangle mechanism in which the X decays into $$D^{*0}{\bar{D}}^0 -cc$$ D∗0D¯0-cc , then the $$D^{*0} ({\bar{D}}^{*0})$$ D∗0(D¯∗0) decays into $$D^0 \pi ^0$$ D0π0 ($${\bar{D}}^0 \pi ^0$$ D¯0π0 ) and the $$D^0 {\bar{D}}^0$$ D0D¯0 fuse to produce $$\pi ^+ \pi ^-$$ π+π- . This mechanism produces an asymmetric peak from a triangle singularity in the $$\pi ^+ \pi ^-$$ 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 $$B^- \rightarrow K^- \pi ^0 \pi ^+ \pi ^-$$ B-→K-π0π+π- reaction and show that the determination of the peak in the invariant mass distribution of $$\pi ^+ \pi ^-$$ 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 $$D^{*0} {\bar{D}}^0$$ D∗0D¯0 state is bound or not, measurements like the one suggested here should be most welcome to clarify this issue. |
| first_indexed | 2024-12-10T21:14:32Z |
| format | Article |
| id | doaj.art-9148be84609a4b419b0a01c763d9d796 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-10T21:14:32Z |
| publishDate | 2020-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-9148be84609a4b419b0a01c763d9d7962022-12-22T01:33:21ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-05-018051910.1140/epjc/s10052-020-8014-7Triangle singularity in $$B^-\rightarrow K^-X(3872);X\rightarrow \pi ^0\pi ^+\pi ^-$$ B-→K-X(3872);X→π0π+π- and the X(3872) massRaquel Molina0Eulogio Oset1Departamento de Física Teórica, Facultad de Física, Universidad Complutense de Madrid and IPARCOSDepartamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de PaternaAbstract We evaluate the contribution to the X(3872) width from a triangle mechanism in which the X decays into $$D^{*0}{\bar{D}}^0 -cc$$ D∗0D¯0-cc , then the $$D^{*0} ({\bar{D}}^{*0})$$ D∗0(D¯∗0) decays into $$D^0 \pi ^0$$ D0π0 ($${\bar{D}}^0 \pi ^0$$ D¯0π0 ) and the $$D^0 {\bar{D}}^0$$ D0D¯0 fuse to produce $$\pi ^+ \pi ^-$$ π+π- . This mechanism produces an asymmetric peak from a triangle singularity in the $$\pi ^+ \pi ^-$$ 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 $$B^- \rightarrow K^- \pi ^0 \pi ^+ \pi ^-$$ B-→K-π0π+π- reaction and show that the determination of the peak in the invariant mass distribution of $$\pi ^+ \pi ^-$$ 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 $$D^{*0} {\bar{D}}^0$$ D∗0D¯0 state is bound or not, measurements like the one suggested here should be most welcome to clarify this issue.http://link.springer.com/article/10.1140/epjc/s10052-020-8014-7 |
| spellingShingle | Raquel Molina Eulogio Oset Triangle singularity in $$B^-\rightarrow K^-X(3872);X\rightarrow \pi ^0\pi ^+\pi ^-$$ B-→K-X(3872);X→π0π+π- and the X(3872) mass European Physical Journal C: Particles and Fields |
| title | Triangle singularity in $$B^-\rightarrow K^-X(3872);X\rightarrow \pi ^0\pi ^+\pi ^-$$ B-→K-X(3872);X→π0π+π- and the X(3872) mass |
| title_full | Triangle singularity in $$B^-\rightarrow K^-X(3872);X\rightarrow \pi ^0\pi ^+\pi ^-$$ B-→K-X(3872);X→π0π+π- and the X(3872) mass |
| title_fullStr | Triangle singularity in $$B^-\rightarrow K^-X(3872);X\rightarrow \pi ^0\pi ^+\pi ^-$$ B-→K-X(3872);X→π0π+π- and the X(3872) mass |
| title_full_unstemmed | Triangle singularity in $$B^-\rightarrow K^-X(3872);X\rightarrow \pi ^0\pi ^+\pi ^-$$ B-→K-X(3872);X→π0π+π- and the X(3872) mass |
| title_short | Triangle singularity in $$B^-\rightarrow K^-X(3872);X\rightarrow \pi ^0\pi ^+\pi ^-$$ B-→K-X(3872);X→π0π+π- and the X(3872) mass |
| title_sort | triangle singularity in b rightarrow k x 3872 x rightarrow pi 0 pi pi b k x 3872 x π0π π and the x 3872 mass |
| url | http://link.springer.com/article/10.1140/epjc/s10052-020-8014-7 |
| work_keys_str_mv | AT raquelmolina trianglesingularityinbrightarrowkx3872xrightarrowpi0pipibkx3872xp0ppandthex3872mass AT eulogiooset trianglesingularityinbrightarrowkx3872xrightarrowpi0pipibkx3872xp0ppandthex3872mass |