An X(3872)-Like Peak in $B\rightarrow (J/\psi \pi ^+\pi ^-) K\pi $ Due to Triangle Singularity

Nakamura, Satoshi X.

doi:10.1007/s00601-021-01623-2

An X(3872)-Like Peak in $B\rightarrow (J/\psi \pi ^+\pi ^-) K\pi$ Due to Triangle Singularity

Satoshi X. Nakamura
(
- Hefei, NSRL and
- Hefei, CUST
)

May 3, 2021

6 pages

Published in:

Few Body Syst. 62 (2021) 3, 40,
Few Body Syst. 62 (2021) 3, 40

Contribution to:

- APFB2020
, 40
,
- APFB2020

Published: Jun 25, 2021

e-Print:

2105.01118 [hep-ph]

DOI:

10.1007/s00601-021-01623-2

View in:

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Abstract: (arXiv)

Triangle mechanisms for

B^0\to (J/\psi\pi^+\pi^-) K^+\pi^-

are studied. Experimentally, an

X(3872)

peak has been observed in this process. When the final

(J/\psi\pi^+\pi^-)\pi

invariant mass is around the

D^*\bar D^*

threshold, one of the triangle mechanisms causes a triangle singularity and generates a sharp

X(3872)

-like peak in the

J/\psi\pi^+\pi^-

invariant mass distribution. The Breit-Wigner mass and width fitted to the spectrum are 3871.68 MeV (a few keV above the

D^{*0}\bar{D}^0

threshold) and

\sim

0.4 MeV, respectively.These Breit-Wigner parameters hardly depends on a choice of the model parameters. Comparing with the precisely measured

X(3872)

mass and width,

3871.69\pm 0.17

MeV and

< 1.2

MeV, the agreement is remarkable. When studying the

X(3872)

signal from this process, this non-resonant contribution has to be understood in advance. We also study a charge analogous process

B^0\to (J/\psi\pi^0\pi^-) K^+\pi^0

. A similar triangle singularity exists and generates an

X^-(3876)

-like peak.

Note:

6 pages, 4 figures, Contribution to the Proceedings for 8th Asia-Pacific Conference on Few-Body Problems in Physics (APFB2020), March 1-5 2021, Kanazawa, Japan

B0: decay
B0 --> J/psi(3100) rho(770) K+ pi-
B0 --> J/psi(3100) pi+ pi- K+ pi-

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An X(3872)-Like Peak in B→(J/ψπ+π−)KπB\rightarrow (J/\psi \pi ^+\pi ^-) K\pi B→(J/ψπ+π−)Kπ Due to Triangle Singularity

Citations per year

An X(3872)-Like Peak in $B\rightarrow (J/\psi \pi ^+\pi ^-) K\pi$ Due to Triangle Singularity