Abnormal solutions of Bethe--Salpeter equation with massless and massive exchanges

Autor:	Carbonell1, Jaume, Karmanov, Vladimir, Kupriyanova, Ekaterina, Sazdjian, Hagop
Rok vydání:	2024
Předmět:	High Energy Physics - Phenomenology Condensed Matter - Strongly Correlated Electrons Nuclear Theory Quantum Physics
Zdroj:	Few-Body Syst. 65, 56 (2024)
Druh dokumentu:	Working Paper
Popis:	We summarize the main properties of the so called ''abnormal solutions'' of the Wick--Cutkosky model, i.e. two massive scalar particles interacting via massless scalar exchange ("photons"), within the Bethe--Salpeter equation. These solutions do not exist in the non-relativistic limit, in spite of having very small binding energies. They present a genuine many-body character dominated by photons, with a norm of the valence constituent wave function (two-body norm) that vanishes in the limit of zero binding energy. We present new results concerning the massive-exchange case, in particular determine under which conditions is it possible to obtain such peculiar solutions without spoiling the model by tachyonic states ($M^2<0$). Comment: 19 pages, 8 figures. Talk given at Workshop Critical Stability, ECT* oct 2023. To appear in Few-Body Systems
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.12182 Zobrazit plný text záznamu View this record from Arxiv