Variational approach to N -body interactions in finite volume

Guo, Peng; Döring, Michael; Szczepaniak, Adam P.

doi:10.1103/PhysRevD.98.094502

Title: Variational approach to $N$ -body interactions in finite volume

Journal Article · Thu Nov 08 00:00:00 EST 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.98.094502· OSTI ID:1481326

Guo, Peng; Döring, Michael; Szczepaniak, Adam P.

Here, we explore variational approach to the finite-volume $N$ -body problem. The general formalism for $N$ non-relativistic spinless particles interacting with periodic pair-wise potentials yields $N$ -body secular equations. The solutions depend on the infinite-volume $N$ -body wave functions. Given that the infinite-volume $N$ -body dynamics may be solved by the standard Faddeev approach, the variational $N$ -body formalism can provide a convenient numerical framework for finding discrete energy spectra in periodic lattice structures.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; FG02-87ER40365; PHY-1748958; PHY-1415459; PHY-1452055

OSTI ID:: 1481326

Alternate ID(s):: OSTI ID: 1481736

Report Number(s):: JLAB-THY-18-2837; DOE/OR/23177-4556; arXiv:1810.01261; PRVDAQ; 094502

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 98 Journal Issue: 9; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 40 works

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