Perturbation theory for a systematic account of the bound-state motion

Alexander N. Kvinikhidze; Hagop Sazdjian; Boris Blankleider

doi:10.1103/4xkh-nxfw

Perturbation theory for a systematic account of the bound-state motion

Alexander N. Kvinikhidze ^1,2,*, Hagop Sazdjian ^3,†, and Boris Blankleider ^2,‡

¹Andrea Razmadze Mathematical Institute of Tbilisi State University, 6, Tamarashvili Str., 0186 Tbilisi, Georgia
²College of Science and Engineering, Flinders University, Bedford Park, SA 5042, Australia
³Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France

^*Contact author: sasha_kvinikhidze@hotmail.com
^†Contact author: hagop.sazdjian@ijclab.in2p3.fr
^‡Contact author: boris.blankleider@flinders.edu.au

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Phys. Rev. C 112, 034001 – Published 10 September, 2025

DOI: https://doi.org/10.1103/4xkh-nxfw

Abstract

We derive a perturbation theory (PT) for the Lorentz boost operator in the space of two-nucleon wave functions. The latter is expressed in terms of the nucleon-nucleon ( $N N$ ) potentials, developed so far in great detail for their use in the $N N$ scattering studies. The PT is designed to take into account the boost relativistic corrections in a systematic way and, as such, it is the only missing part in the corresponding approaches developed up to now in the low-energy effective field theories.

Physical Review C

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Perturbation theory for a systematic account of the bound-state motion

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Perturbation theory for a systematic account of the bound-state motion

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