Resonance States of Hadronic Three-Body Ions: Stabilization Method

Authors

  • S. Dutta Belgharia Texmaco Estate School, Belgharia, Kolkata 700056
  • J. K. Saha Department of Physics, Aliah University, IIA/27, Newtown, Kolkata
  • S. Bhattacharyya Department of Physics, Acharya Prafulla Chandra College, New Barrackpore, Kolkata 700131
  • T. K. Mukherjee Department of Physics, Narula Institute of Technology, Agarpara, Kolkata 700109

DOI:

https://doi.org/10.26713/jamcnp.v7i1.1389

Keywords:

Three-body systems, Stabilization method, Hylleraas coordinate, Resonance state, Correlation

Abstract

Bound and resonance states of symmetric three-body exotic \(pXX\) negative atomic ions \((X=\mu^{-}, \pi^{-}, K^{-})\) as well as exotic \(ppX\) positive molecular ions for total angular momentum \(J=0\), are studied in details under the framework of Stabilization method. The resonance states under consideration lie below \(N=2\) ionization threshold of the corresponding \(pX\) atom. The wave-function is expanded in correlated multi-exponent Hylleraas type basis set for explicit incorporation of \(p\)-\(p\), \(\mu\)-\(\mu\), \(\pi\)-\(\pi\) or \(K\)-\(K\) correlations. The methodology has been tested by estimating the parameters of the resonance states of \((p\mu\mu)^{-}\), \((pp\mu)^{+}\), \((p\pi\pi)^{-}\) and \((pp\pi)^{+}\) and comparing with the results existing in the literature. The interparticle interactions for all the systems under consideration are purely Coulombic. 

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Published

2020-04-30
CITATION

How to Cite

Dutta, S., Saha, J. K., Bhattacharyya, S., & Mukherjee, T. K. (2020). Resonance States of Hadronic Three-Body Ions: Stabilization Method. Journal of Atomic, Molecular, Condensed Matter and Nano Physics, 7(1), 51–60. https://doi.org/10.26713/jamcnp.v7i1.1389

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Research Article