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Quantum phase transition in symmetric quantum three-body system

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Abstract

Bound state energy (E) and the position (\(E_r\)) and width (\(\Gamma \)) of the first S symmetry doubly excited Feshbach resonance state of various symmetrical three-body systems (XYY) bound via screened Coulomb (SC) interaction have been reported using soft-wall strategy of stabilization method. Explicitly correlated multi-exponent Hylleraas-type basis set has been considered under the Ritz variational framework. Critical nuclear charges of the systems in its ground state (\(Z_c\)) as well as in Feshbach resonance state (\({\mathcal {Z}}_c\)) for various screening parameters (\(\lambda \)) have been evaluated. First-order quantum phase transition (QPT) for all the systems has been reported in its ground state. Effect of different mass combination of the constituents particles on critical points of the systems has been explored extensively.

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Data Availability Statement

This manuscript has no associated data, or the data will not be deposited. [Authors’ comment: The data is already given in the manuscript.]

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Acknowledgements

JKS acknowledges the partial financial support from the Department of Science and Technology, Govt. of West Bengal, under grant number 249(Sanc.)/ST/P/S & T/16G-26/2017.

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Authors and Affiliations

  1. Department of Physics, Adamas University, Barasat, Kolkata, 700126, India

    Anjan Sadhukhan

  2. Department of Physics, Aliah University, Newtown, Kolkata, 700160, India

    Anjan Sadhukhan, Santanu Mondal & Jayanta K. Saha

  3. Department of Mathematics, Netaji Nagar Day College, Kolkata, 700 092, India

    Sujay Kr. Nayek

Authors
  1. Anjan Sadhukhan
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  2. Santanu Mondal
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  4. Jayanta K. Saha
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Correspondence to Jayanta K. Saha.

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Sadhukhan, A., Mondal, S., Nayek, S.K. et al. Quantum phase transition in symmetric quantum three-body system. Eur. Phys. J. D 75, 77 (2021). https://doi.org/10.1140/epjd/s10053-021-00084-w

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