This title appears in the Scientific Report :
2021
Please use the identifier:
http://hdl.handle.net/2128/27654 in citations.
Please use the identifier: http://dx.doi.org/10.1140/epja/s10050-021-00413-y in citations.
On the nature of near-threshold bound and virtual states
On the nature of near-threshold bound and virtual states
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 cr...
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Personal Name(s): | Matuschek, Inka (Corresponding author) |
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Baru, Vadim / Guo, Feng-Kun / Hanhart, Christoph | |
Contributing Institute: |
Theorie der Starken Wechselwirkung; IAS-4 Theorie der starken Wechselwirkung; IKP-3 |
Published in: | The European physical journal / A, 57 (2021) 3, S. 101 |
Imprint: |
Heidelberg
Springer
2021
|
DOI: |
10.1140/epja/s10050-021-00413-y |
Document Type: |
Journal Article |
Research Program: |
TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik Enabling Computational- & Data-Intensive Science and Engineering |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1140/epja/s10050-021-00413-y in citations.
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. |