This title appears in the Scientific Report :
2013
Please use the identifier:
http://hdl.handle.net/2128/13281 in citations.
Please use the identifier: http://dx.doi.org/10.1016/j.physletb.2013.04.016 in citations.
Finite volume effects and quark mass dependence of the N(1535) and N(1650)
Finite volume effects and quark mass dependence of the N(1535) and N(1650)
For resonances decaying in a finite volume, the simple identification of state and eigenvalue is lost. The extraction of the scattering amplitude is a major challenge as we demonstrate by extrapolating the physical S_{11} amplitude of pion-nucleon scattering to the finite volume and unphysical quark...
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Personal Name(s): | Döring, Michael (Corresponding author) |
---|---|
Mai, Maxim / Meißner, Ulf-G. | |
Contributing Institute: |
Experimentelle Hadrondynamik; IKP-2 Experimentelle Hadronstruktur; IKP-1 Theorie der starken Wechselwirkung; IKP-3 Theorie der Starken Wechselwirkung; IAS-4 IKP- Technische und Administrative Infrastruktur; IKP-TA Kernphysikalische Großgeräte; IKP-4 |
Published in: | Physics letters / B, 722 (2013) 1-3, S. 185-192 |
Imprint: |
Amsterdam
North-Holland Publ.
2013
|
DOI: |
10.1016/j.physletb.2013.04.016 |
Document Type: |
Journal Article |
Research Program: |
COSY Hadron Structure and Dynamics (HSD) |
Subject (ZB): | |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1016/j.physletb.2013.04.016 in citations.
For resonances decaying in a finite volume, the simple identification of state and eigenvalue is lost. The extraction of the scattering amplitude is a major challenge as we demonstrate by extrapolating the physical S_{11} amplitude of pion-nucleon scattering to the finite volume and unphysical quark masses, using a unitarized chiral framework including all next-to-leading order contact terms. We show that the pole movement of the resonances N(1535)1/2^- and N(1650)1/2^- with varying quark masses is non-trivial. In addition, there are several strongly coupled S-wave thresholds that induce a similar avoided level crossing as narrow resonances. The level spectrum is predicted for two typical lattice setups, and ways to extract the amplitude from upcoming lattice data are discussed. |