scholarly journals Upper and lower limits for the number of S-wave bound states in an attractive potential

2003 ◽  
Vol 44 (4) ◽  
pp. 1554-1575 ◽  
Author(s):  
Fabian Brau ◽  
Francesco Calogero
Keyword(s):  
Bound States ◽  
Attractive Potential ◽  
S Wave ◽  
Lower Limits

scholarly journals AMADEUS Experiment: Studies on Antikaon Interactions with Nucleons and Nuclei

2018 ◽  
Vol 46 ◽  
pp. 1860071
Author(s):  
J. Marton ◽  
K. Piscicchia
Keyword(s):  
Bound States ◽  
Experimental Studies ◽  
Drift Chamber ◽  
Kaonic Hydrogen ◽  
Nucleon Interaction ◽  
S Wave ◽  
Data Set ◽  
Electron Positron ◽  
Low Energies ◽  
Kloe Collaboration

The understanding of the low-energy strong interaction involving strangeness is a challenging topic due to resonances and predicted kaonic nuclear bound states. The K- nucleon interaction is strongly attractive at low energies verified in kaonic hydrogen studied in the SIDDHARTA experiment at the DA[Formula: see text]NE electron-positron collider of LNF-INFN (Frascati/Italy). Hyperon resonances like the elusive [Formula: see text] in the s-wave impose questions about its nature. According to theoretical studies it can be described as a dynamically generated resonance with two poles or a quasi-bound [Formula: see text]N state, which could lead to kaonic nuclear bound states (e.g. K-pp). An insight in many open facets of the antikaon interactions can be provided by the AMADEUS experiment at DA[Formula: see text]NE based on the analysis of the data collected in 2004/2005 by the KLOE collaboration, and of the dedicated data set collected in 2012 by AMADEUS in collaboration with KLOE. As a first step data from antikaon-induced reactions in the drift chamber of KLOE were analyzed and yielded new results on antikaon absorption on nuclei. Recent results of the experimental studies and an outlook to the future possibilities within AMADEUS are presented.

scholarly journals Variational calculations for the hydrogen-antihydrogen system with a mass-scaled Born-Oppenheimer potential

Open Physics ◽  
2012 ◽  
Vol 10 (5) ◽  
Author(s):  
Henrik Stegeby ◽  
Konrad Piszczatowski ◽  
Hans Karlsson ◽  
Roland Lindh ◽  
Piotr Froelich
Keyword(s):  
Bound States ◽  
Vibrational Energy ◽  
Scattering Length ◽  
Energy Levels ◽  
Nuclear Interaction ◽  
S Wave ◽  
Proton Antiproton ◽  
Mass Scaling ◽  
Variational Calculations ◽  
Vibrational Energy Levels

AbstractThe problem of proton-antiproton motion in the H-$\bar H$ system is investigated by means of the variational method. We introduce a modified nuclear interaction through mass-scaling of the Born-Oppenheimer potential. This improved treatment of the interaction includes the nondivergent part of the otherwise divergent adiabatic correction and shows the correct threshold behaviour. Using this potential we calculate the vibrational energy levels with angular momentum 0 and 1 and the corresponding nuclear wave functions, as well as the S-wave scattering length. We obtain a full set of all bound states together with a large number of discretized continuum states that might be utilized in variational four-body calculations. The results of our calculations gives an indication of resonance states in the hydrogen-antihydrogen system.

scholarly journals In-gap bound states induced by a single nonmagnetic impurity in sign-preserving s -wave superconductors with incipient bands

2017 ◽  
Vol 96 (22) ◽  
Author(s):  
Yi Gao ◽  
Yan Yu ◽  
Tao Zhou ◽  
Huaixiang Huang ◽  
Qiang-Hua Wang
Keyword(s):  
Bound States ◽  
S Wave ◽  
Nonmagnetic Impurity

scholarly journals ELECTRONIC BOUND STATES IN PARITY-PRESERVING QED3 APPLIED TO HIGH-Tc CUPRATE SUPERCONDUCTORS

2003 ◽  
Vol 18 (05) ◽  
pp. 725-741 ◽  
Author(s):  
H. R. CHRISTIANSEN ◽  
O. M. DEL CIMA ◽  
M. M. FERREIRA ◽  
J. A. HELAYËL-NETO
Keyword(s):  
Bound States ◽  
Cuprate Superconductors ◽  
Energy Scale ◽  
Spontaneous Breaking ◽  
Electron Interaction ◽  
Oxide Superconductors ◽  
S Wave ◽  
High Tc ◽  
Pair Condensation ◽  
Copper Oxide Superconductors

We consider a parity-preserving QED 3 model with spontaneous breaking of the gauge symmetry as a framework for the evaluation of the electron–electron interaction potential underlying high-T c superconductivity. The fact that the resulting potential, -CsK0(Mr), is non-confining and "weak" (in the sense of Kato) strongly suggests the mechanism of pair-condensation. This potential, compatible with an s-wave order parameter, is then applied to the Schrödinger equation for the sake of numerical calculations, thereby enforcing the existence of bound states. The results worked out by means of our theoretical framework are checked by considering a number of phenomenological data extracted from different copper oxide superconductors. The agreement may motivate a deeper analysis of our model viewing an application to quasiplanar cuprate superconductors. The data analyzed here suggest an energy scale of 1–10 meV for the breaking of the U(1)-symmetry.

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