2016/10/31 by E. E. Saperstein, É. E. Saperstein, M. Baldo +3
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Atomic physics #Chemistry #Coupling (piping) #MAGIC (telescope) #Materials science #Nuclear physics research studies #Operator (biology) #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Phonon #Physics #Quantum electrodynamics #Quantum mechanics #nucl-th
paper · pdf · doi:10.1134/s0021364016230144
published as JETP Letters.104:743-748,2016 · 6 pages, 2 figures, 3 tables; ; v2 -- small corrections in the text; to be published in JETP Letters
arxiv created 2016/11/26 · openalex publication_date 2016/12/01 · arxiv updated 2017/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A method is developed to consider the particle–phonon coupling (PC) effects in the calculation of the odd–even double mass differences (DMD) in semi-magic nuclei starting from the free NN potential. The PC correction δΣPC to the mass operator Σ is found in g L 2-approximation, g L being the vertex of creating the L-phonon. The tadpole term of the operator δΣPC is taken into account. The method is based on a direct, without any use of the perturbation theory, solution of the Dyson equation with the mass operator Σ(ε) = Σ0 + δΣPC(ε) for finding the single-particle energies and Z-factors. In its turn, they are used as an input for finding different PC corrections to the DMD values. Results for a chain of even semi-magic nuclei 200−206Pb show that the inclusion of the PC corrections makes agreement with the experimental data significantly better.