Journal Article

FZJ-2021-01508

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png On the nature of near-threshold bound and virtual states

Matuschek, I. (Corresponding author)FZJ* ; Baru, V. ; Guo, F.-K.Extern* ; Hanhart, C.FZJ*

2021
Springer Heidelberg

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Please use a persistent id in citations: http://hdl.handle.net/2128/27654  doi:10.1140/epja/s10050-021-00413-y

Abstract: Physical states are characterised uniquely by their pole positions and the corresponding residues. Accordingly, in those parameters also the nature of the states should be encoded. For bound states (poles on the real s-axis below the lowest threshold on the physical sheet) there is an established criterion formulated originally by Weinberg in the 1960s, which allows one to estimate the amount of compact and molecular components in a given state. We demonstrate in this paper that this criterion can be straightforwardly extended to shallow virtual states (poles on the real s-axis below the lowest threshold on the unphysical sheet) which should be classified as molecular. We argue that predominantly non-molecular or compact states exist either as bound states or as resonances (poles on the unphysical sheet off the real energy axis) but not as virtual states. We also discuss the limitations of the mentioned classification scheme.

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Contributing Institute(s):

1. Theorie der Starken Wechselwirkung (IAS-4)
2. Theorie der starken Wechselwirkung (IKP-3)

Research Program(s):

1. 511 - Enabling Computational- Data-Intensive Science and Engineering (POF4-511) (POF4-511)
2. DFG project 196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076) (196253076)

Appears in the scientific report 2021

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DEAL Springer ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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