Search for the <math display="inline"><mi mathvariant="normal">Σ</mi><mo stretchy="false">(</mo><mn>1380</mn><mo stretchy="false">)</mo><mn>1</mn><mo>/</mo><msup><mn>2</mn><mo>-</mo></msup></math> state in <math display="inline"><msubsup><mi mathvariant="normal">Λ</mi><mi>c</mi><mo>+</mo></msubsup><mo stretchy="false">→</mo><mi>γ</mi><msup><mi>π</mi><mo>+</mo></msup><mi mathvariant="normal">Λ</mi></math> decay by triangle singularity - INSPIRE

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Search for the $Σ (1380) 1 / 2^{-}$ state in $Λ_{c}^{+} \to γ π^{+} Λ$ decay by triangle singularity

Ke Wang
(
- Beijing, GUCAS
)
,
Yu-Fei Wang
(
- UCAS, Beijing
)
,
Bo-Chao Liu
(
- Beijing, GUCAS and
- Xian Jiaotong U.
)
,
Fei Huang
(
- Beijing, GUCAS
)

Aug 23, 2024

8 pages

Published in:

Phys.Rev.D 110 (2024) 9, 094017

Published: Nov 1, 2024

e-Print:

2408.12965 [hep-ph]

DOI:

10.1103/PhysRevD.110.094017 (publication)

View in:

ADS Abstract Service

reference search2 citations

Citations per year

Abstract: (APS)

In this work, we investigate the resonance production in

Λ_{c}^{+} \to γ π^{+} Λ

decay through the triangle singularity (TS) mechanism, within an effective Lagrangian approach. We find that the appropriate loop decay process could develop a triangle singularity in the invariant mass

M_{π Λ}

around 1.35 GeV, with the shape depending on the quantum numbers of

Σ^{*}

states that couple to the final

π Λ

system. Especially, the

Σ (1380) 1 / 2^{-}

state newly predicted in the pentaquark model, if exists, significantly enhances the TS contribution and sharpens the TS peak due to the

S

-wave

Σ^{*} π Σ

vertex in the loop. Therefore, the existence of the

Σ (1380) 1 / 2^{-}

state can be examined by measuring the TS signal in

Λ_{c}^{+} \to γ π^{+} Λ

. Considering also possible tree-level diagrams, we additionally obtain the branching ratio

Br (Λ_{c}^{+} \to γ π^{+} Λ) ≃ 1.5 \times 10^{- 5}

. We suggest the investigation of this reaction by future BESIII, LHCb, and Belle experiments.

Note:

8 pages, 6 figures

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