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\(N^*\) states with hidden charm and a three-body nature

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Abstract

In this work we study the formation of \(N^*\)’s as a consequence of the dynamics involved in the \(ND{\bar{D}}^*-N{\bar{D}} D^*\) system when the \(D{\bar{D}}^*-{\bar{D}} D^*\) subsystem generates X(3872) in isospin 0 and \(Z_c(3900)\) in isospin 1. States with isospin \(I=1/2\) and mass in the energy region \(4400-4600\) MeV are found to arise with spin-parity \(J^P=1/2^+\) and \(3/2^+\), thus leading to predictions of the existence of \(N^*\) resonances with hidden charm and a three-body nature. We also discuss the possibility of the existence of \(\varDelta _c\) states, i.e., \(\varDelta \)’s with hidden charm.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: There are no external data associated with the manuscript.]

Notes

  1. See also Refs. [8, 9] for a possible theoretical explanation of the signal observed by the LEPS collaboration for \(\varTheta ^+(1540)\).

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Acknowledgements

This work is supported by the Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP), processos n\({}^\circ \) 2019/17149-3, 2019/16924-3 and 2020/00676-8, and by the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), grant n\({}^\circ \) 305526/2019-7 and 303945/2019-2.

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Authors and Affiliations

  1. Instituto de Fisica, Universidade de Sao Paulo, Sao Paulo, CP 05389-970, Brazil

    Brenda B. Malabarba & A. Martínez Torres

  2. Universidade Federal de Sao Paulo, Sao Paulo, CP 01302-907, Brazil

    K. P. Khemchandani

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  1. Brenda B. Malabarba
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  2. K. P. Khemchandani
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  3. A. Martínez Torres
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Correspondence to A. Martínez Torres.

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Communicated by Eulogio Oset.

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Malabarba, B.B., Khemchandani, K.P. & Torres, A.M. \(N^*\) states with hidden charm and a three-body nature. Eur. Phys. J. A 58, 33 (2022). https://doi.org/10.1140/epja/s10050-022-00681-2

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