Few-Body Systems

, 59:33 | Cite as

On Mass Polarization Effect in Three-Body Nuclear Systems

  • I. Filikhin
  • R. Ya. Kezerashvili
  • V. M. Suslov
  • B. Vlahovic


The mass polarization effect is considered for different three-body nuclear AAB systems having a strongly bound AB and unbound AA subsystems. We employ the Faddeev equations for calculations and the Schrödinger equation for analysis of the contribution of the mass polarization term of the kinetic-energy operator. For a three-boson system the mass polarization effect is determined by the difference of the doubled binding energy of the AB subsystem \(2E_{2}\) and the three-body binding energy \(E_{3}(V_{AA}=0)\) when the interaction between the identical particles is omitted. In this case: \(\left| E_{3}(V_{AA}=0)\right| >2\left| E_{2}\right| \). In the case of a system complicated by isospins(spins), such as the kaonic clusters \( K^{-}K^{-}p\) and \(ppK^{-}\), a similar evaluation is impossible. For these systems it is found that \(\left| E_{3}(V_{AA}=0)\right| <2\left| E_{2}\right| \). A model with an AB potential averaged over spin(isospin) variables transforms the latter case to the first one. The mass polarization effect calculated within this model is essential for the kaonic clusters. In addition we have obtained the relation \(|E_3|\le |2E_2|\) for the binding energy of the kaonic clusters.



This work is supported by the National Science Foundation Grant Supplement to the NSF grant HRD-1345219 and NASA (NNX09AV07A). R. Ya. K. partially supported by MES RK, the Grant 3106/GF4.


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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  • I. Filikhin
    • 1
  • R. Ya. Kezerashvili
    • 2
    • 3
  • V. M. Suslov
    • 1
  • B. Vlahovic
    • 1
  1. 1.North Carolina Central UniversityDurhamUSA
  2. 2.Physics Department, New York City College of TechnologyThe City University of New YorkBrooklynUSA
  3. 3.The Graduate School and University CenterThe City University of New YorkNew YorkUSA

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