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

Alexander Kvinikhidze; Hagop Sazdjian; Boris Blankleider

doi:10.1103/4xkh-nxfw

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

Alexander Kvinikhidze, Hagop Sazdjian, Boris Blankleider

College of Science and Engineering

Research output: Contribution to journal › Article › peer-review

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 (NN) potentials, developed so far in great detail for their use in the NN 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.

Original language	English
Article number	034001
Pages (from-to)	1-10
Number of pages	10
Journal	Physical Review C
Volume	112
Issue number	3
DOIs	https://doi.org/10.1103/4xkh-nxfw
Publication status	Published - 10 Sept 2025

Keywords

Effective field theory
Quantum field theory
nucleon-nucleon interactions
Form factors

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N2 - 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 (NN) potentials, developed so far in great detail for their use in the NN scattering studies. The PT is designed to take into account the boost relativistic correctionsin 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.

AB - 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 (NN) potentials, developed so far in great detail for their use in the NN scattering studies. The PT is designed to take into account the boost relativistic correctionsin 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.

KW - Effective field theory

KW - Quantum field theory

KW - nucleon-nucleon interactions

KW - Form factors

U2 - 10.1103/4xkh-nxfw

DO - 10.1103/4xkh-nxfw

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JO - Physical Review C

JF - Physical Review C

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M1 - 034001

ER -

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

Abstract

Keywords

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