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Semileptonic Decays of \(\rho\), \(\omega\), \(\phi\), \(\eta\) and \(\eta ^{\prime }\) Mesons in Ground and First Radially Excited States in the \(U(3)\times U(3)\) NJL Model

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Abstract

In the extended \(U(3)\times U(3)\) NJL quark model, semileptonic decays of \(\rho\), \(\omega\), \(\phi\), \(\eta\) and \(\eta ^{\prime }\) mesons in both the ground and first radially excited states are described. Quark loops of the anomalous type are considered, which are based on the vertex \(\eta \rightarrow VV\). The obtained results are in satisfactory agreement with the existing experimental data. In addition, a number of predictions for experimentally unmeasured decays of radially excited mesons are presented.

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Acknowledgements

We are grateful to A.B. Arbuzov for his interest in our work and important remarks which improved the paper;

Funding

This research has been funded by the Science Committee of the Ministry of science and higher education of the Republic of Kazakhstan (Grant No. AP15473301).

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, JINR, 141980, Dubna, Moscow region, Russia

    Mikhail K. Volkov & Kanat Nurlan

  2. The Institute of Nuclear Physics, 050032, Almaty, Kazakhstan

    Kanat Nurlan

  3. L. N. Gumilyov Eurasian National University, 010008, Nur-Sultan, Kazakhstan

    Kanat Nurlan

Authors
  1. Mikhail K. Volkov
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  2. Kanat Nurlan
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Writing – review and editing, M.K.V. and K.N. All authors have read and agreed to the published version of the paper.

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Correspondence to Kanat Nurlan.

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Volkov, M.K., Nurlan, K. Semileptonic Decays of \(\rho\), \(\omega\), \(\phi\), \(\eta\) and \(\eta ^{\prime }\) Mesons in Ground and First Radially Excited States in the \(U(3)\times U(3)\) NJL Model. Int J Theor Phys 61, 265 (2022). https://doi.org/10.1007/s10773-022-05241-4

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