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Effective Field Theories in a Finite Volume

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Abstract

In this talk I present the formalism we have used to analyze Lattice data on two meson systems by means of effective field theories. In particular I present the results obtained from a reanalysis of the lattice data on the \(KD^{(*)}\) systems, where the states \(D^*_{s0}(2317)\) and \(D^*_{s1}(2460)\) are found as bound states of KD and \(KD^*\), respectively. We confirm the presence of such states in the lattice data and determine the contribution of the KD channel in the wave function of \(D^*_{s0}(2317)\) and that of \(KD^*\) in the wave function of \(D^*_{s1}(2460)\). Our findings indicate a large meson–meson component in the two cases.

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Acknowledgements

A.M.T gratefully acknowledges the financial support received from FAPESP (under the grant number 2012/50984-4) and the support from CNPq (under the grant number 310759/2016-1). This work is partly supported by the Spanish Ministerio de Economia y Competitividad and European FEDER funds under contract numbers FIS2011-28853-C02-01 and FIS2011-28853-C02-02, by the Generalitat Valenciana in the program Prometeo II, 2014/068, and by Grant 2014SGR-401from the Generalitat de Catalunya. We acknowledge the support of the European Community-Research Infrastructure Integrating Activity Study of Strongly Interacting Matter (acronym HadronPhysics3, Grant Agreement n. 283286) under the Seventh Framework Programme of EU.

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Authors and Affiliations

  1. Instituto de Física, Universidade de São Paulo, Rua do Matão 1371, Butantã, São Paulo, São Paulo, CEP 05508-090, Brazil

    A. Martínez Torres

  2. Institüt für Theoretische Physik, Universität Regensburg, 93040, Regensburg, Germany

    S. Prelovsek

  3. Faculty of Mathematics and Physics, University of Ljubljana, 1000, Ljubljana, Slovenia

    S. Prelovsek

  4. Jozef Stefan,Institute, 1000, Ljubljana, Slovenia

    S. Prelovsek

  5. Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain

    E. Oset

  6. Departament d’Estructura i Constituents de la Matèria and Institut de Ciències del Cosmos, Universitat de Barcelona, Martí i Franquès 1, 08028, Barcelona, Spain

    A. Ramos

Authors
  1. A. Martínez Torres
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  2. S. Prelovsek
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  3. E. Oset
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  4. A. Ramos
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Corresponding author

Correspondence to A. Martínez Torres.

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Martínez Torres, A., Prelovsek, S., Oset, E. et al. Effective Field Theories in a Finite Volume. Few-Body Syst 59, 139 (2018). https://doi.org/10.1007/s00601-018-1458-8

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  • DOI: https://doi.org/10.1007/s00601-018-1458-8

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