Three-body unitary coupled-channel analysis on <math display="inline"><mrow><mi>η</mi><mo stretchy="false">(</mo><mn>1405</mn><mo>/</mo><mn>1475</mn><mo stretchy="false">)</mo></mrow></math> - INSPIRE

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Three-body unitary coupled-channel analysis on $η (1405 / 1475)$

Dec 15, 2022

7 pages

Published in:

Phys.Rev.D 107 (2023) 9, L091505,
Phys.Rev.D 109 (2024) 3, 039901 (erratum)

Published: May 1, 2023
and
Published: Feb 1, 2024

e-Print:

2212.07904 [hep-ph]

DOI:

10.1103/PhysRevD.107.L091505 (publication),
10.1103/PhysRevD.109.039901 (erratum)

View in:

ADS Abstract Service

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Abstract: (APS)

The recent BESIII data on

J / ψ \to γ (K_{S} K_{S} π^{0})

, which is significantly more precise than earlier

η (1405 / 1475)

-related data, enables quantitative discussions on

η (1405 / 1475)

at the previously unreachable level. We conduct a three-body unitary coupled-channel analysis of experimental Monte Carlo outputs for radiative

J / ψ

decays via

η (1405 / 1475)

:

K_{S} K_{S} π^{0}

Dalitz plot distributions from the BESIII, and branching ratios of

γ (η π^{+} π^{-})

and

γ (γ π^{+} π^{-})

final states relative to that of

γ (K \bar{K} π)

. Our model systematically considers (multi)loop diagrams and an associated triangle singularity, which is critical for making excellent predictions on

η (1405 / 1475) \to π π π

line shapes and branching ratios. The

η (1405 / 1475)

pole locations are revealed for the first time. Two poles for

η (1405)

are found on different Riemann sheets of the

K^{*} \bar{K}

channel, while one pole is found for

η (1475)

. The

η (1405 / 1475)

states are described by two bare states dressed with continuum states. The lower bare state would be an excited

η^{'}

, while the higher one could be an excited

η^{(')}

, hybrid, glueball, or a mixture of these. This work presents the first-ever pole determination based on a manifestly three-body unitary coupled-channel framework applied to experimental three-body final state distributions (Dalitz plots).

Note:

7 pages, 6 figures; (v2) published version; statistical errors for eta(1405/1475) pole positions are added

eta(1405)
eta(1475)
J/psi(3100): decay
J/psi(3100): branching ratio
coupled channel: unitarity
Dalitz plot
glueball
pole
BES
Monte Carlo

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