Leptonic widths of high ψ-resonances in a unitary coupled-channel model

Leptonic widths of high ψ-resonances in a unitary coupled-channel model The leptonic widths of high ψ-resonances are calculated in a coupled-channel model with unitary inelasticity, where analytical expressions for the mixing angles between (n+1)S31 and nD31 states and probabilities Zi of the cc¯ component are derived. These factors depend on energy (mass) and can be different for ψ(4040) and ψ(4160). However, our calculations give a small difference between the mixing angles, θ(ψ(4040))=(28-2+1)° and θ(ψ(4160))=(29-3+2)°, and ∼10% difference between the probabilities Z1(ψ(4040))=0.85-0.02+0.05 and Z2(ψ(4160))=0.79±0.01. It provides the leptonic widths Γee(ψ(4040))=(1.0±0.1)  keV and Γee(ψ(4160))=(0.62±0.0.07)  keV in agreement with experiment; for ψ(4415) the value Γee(ψ(4415))=(0.66±0.06)  keV is obtained, while for the missing resonance ψ(4510), we predict its mass, M(ψ(4500))=(4512±2)  MeV, and Γee(ψ(4510))=(0.68±0.14)  keV. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Leptonic widths of high ψ-resonances in a unitary coupled-channel model

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Leptonic widths of high ψ-resonances in a unitary coupled-channel model

Abstract

The leptonic widths of high ψ-resonances are calculated in a coupled-channel model with unitary inelasticity, where analytical expressions for the mixing angles between (n+1)S31 and nD31 states and probabilities Zi of the cc¯ component are derived. These factors depend on energy (mass) and can be different for ψ(4040) and ψ(4160). However, our calculations give a small difference between the mixing angles, θ(ψ(4040))=(28-2+1)° and θ(ψ(4160))=(29-3+2)°, and ∼10% difference between the probabilities Z1(ψ(4040))=0.85-0.02+0.05 and Z2(ψ(4160))=0.79±0.01. It provides the leptonic widths Γee(ψ(4040))=(1.0±0.1)  keV and Γee(ψ(4160))=(0.62±0.0.07)  keV in agreement with experiment; for ψ(4415) the value Γee(ψ(4415))=(0.66±0.06)  keV is obtained, while for the missing resonance ψ(4510), we predict its mass, M(ψ(4500))=(4512±2)  MeV, and Γee(ψ(4510))=(0.68±0.14)  keV.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.014030
Publisher site
See Article on Publisher Site

Abstract

The leptonic widths of high ψ-resonances are calculated in a coupled-channel model with unitary inelasticity, where analytical expressions for the mixing angles between (n+1)S31 and nD31 states and probabilities Zi of the cc¯ component are derived. These factors depend on energy (mass) and can be different for ψ(4040) and ψ(4160). However, our calculations give a small difference between the mixing angles, θ(ψ(4040))=(28-2+1)° and θ(ψ(4160))=(29-3+2)°, and ∼10% difference between the probabilities Z1(ψ(4040))=0.85-0.02+0.05 and Z2(ψ(4160))=0.79±0.01. It provides the leptonic widths Γee(ψ(4040))=(1.0±0.1)  keV and Γee(ψ(4160))=(0.62±0.0.07)  keV in agreement with experiment; for ψ(4415) the value Γee(ψ(4415))=(0.66±0.06)  keV is obtained, while for the missing resonance ψ(4510), we predict its mass, M(ψ(4500))=(4512±2)  MeV, and Γee(ψ(4510))=(0.68±0.14)  keV.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 1, 2017

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