Five-body systems with Bethe-Salpeter equations

Eichmann, Gernot; Peña, M.T.; Torres, Raul D.

doi:10.1016/j.physletb.2025.139525

Five-body systems with Bethe-Salpeter equations

Journal Article · Tue May 06 04:00:00 EDT 2025 · Physics Letters B

DOI:https://doi.org/10.1016/j.physletb.2025.139525· OSTI ID:2998167

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Univ. of Graz (Austria)
Univ. of Lisbon (Portugal); Laboratory of Instrumentation and Experimental Particle Physics (LIP) (Portugal)

We extend the Bethe-Salpeter formalism to systems made of five valence particles. Restricting ourselves to two-body interactions, we derive the subtraction terms necessary to prevent overcounting. We solve the five-body Bethe-Salpeter equation numerically for a system of five scalar particles interacting by a scalar exchange boson. To make the calculations tractable, we implement properties of the permutation group S₅ and construct an approximation based on intermediate two- and three-body poles. We extract the five-body ground and excited states along with the spectra obtained from the two-, three-, and four-body equations. In the limit of a massless exchange particle, the two-, three, four- and five-body states coexist within a certain range of the coupling strength, whereas for heavier exchange particles the five-body system becomes Borromean. Our study serves as a building block for the calculation of pentaquark properties using functional methods.

View Accepted Manuscript (DOE)

Research Organization:: Indiana Univ., Bloomington, IN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0023598

OSTI ID:: 2998167

Journal Information:: Physics Letters B, Journal Name: Physics Letters B Vol. 866; ISSN 0370-2693

Publisher:: Elsevier BVCopyright Statement

Country of Publication:: United States

Language:: English

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