Coupled channel operators and rearrangement scattering. I. Comparative study of one‐state s‐wave e‐H scattering

We present a comparative study of the localization effects induced by harmonic trapping and random onsite disorder in a 2D s-wave superconductor. Performing a numeric computation of the Bogoliubov-de Gennes equations in the presence of parabolic trap and random disorder, we obtain the eigensolutions as a function of trap depth and disorder strength. While the wavefunctions demonstrate localization tendencies for moderate disorder strengths, with finally yielding an insulating behavior at large disorder, the harmonic confinement effects are seen to be vastly more drastic in inducing localization effects.

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S-WAVE BOTTOM TETRAQUARKS

International Journal of Modern Physics E ◽

10.1142/s0218301310016582 ◽

2010 ◽

Vol 19 (11) ◽

pp. 2181-2188 ◽

Cited By ~ 1

Author(s):

S. M. GERASYUTA ◽

V. I. KOCHKIN

Keyword(s):

Bottom Quarks ◽

S Wave ◽

The Masses ◽

Coupled Channel ◽

Meson States ◽

Channel Formalism

The relativistic four-quark equations are found in the framework of coupled-channel formalism. The dynamical mixing of the meson–meson states with the four-quark states is considered. The four-quark amplitudes of the tetraquarks, including u, d, s, and bottom quarks, are constructed. The poles of these amplitudes determine the masses and widths of S-wave bottom tetraquarks.

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Thermal study of a coupled-channel system: a brief review

The European Physical Journal A ◽

10.1140/epja/s10050-021-00378-y ◽

2021 ◽

Vol 57 (2) ◽

Author(s):

Pok Man Lo

Keyword(s):

Density Of States ◽

Particle Dynamics ◽

Thermal Study ◽

S Wave ◽

Channel System ◽

System A ◽

S Matrix ◽

Coupled Channel

AbstractWe demonstrate the construction of a density of states from the S-matrix describing a coupled-channel (S-wave $$\pi \pi , K {\bar{K}}$$ π π , K K ¯ ) system, and examine the influences from various structures of particle dynamics: poles, roots, and Riemann sheets.

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Nπ scattering in the Roper channel

EPJ Web of Conferences ◽

10.1051/epjconf/201817505004 ◽

2018 ◽

Vol 175 ◽

pp. 05004

Author(s):

M. Padmanath ◽

C. B. Lang ◽

Luka Leskovec ◽

Sasa Prelovsek

Keyword(s):

Lattice Qcd ◽

Positive Parity ◽

Roper Resonance ◽

S Wave ◽

Lattice Spectrum ◽

Lattice Calculations ◽

Channel Effects ◽

Technical Details ◽

Elastic Approximation ◽

Coupled Channel

We present results from our recent lattice QCD study of Nπ scattering in the positive-parity nucleon channel, where the puzzling Roper resonance N*(1440) resides in experiment. Using a variety of hadron operators, that include qqq-like, Nπ in p-wave and Nσ in s-wave, we systematically extract the excited lattice spectrum in the nucleon channel up to 1.65 GeV. Our lattice results indicate that Nπ scattering in the elastic approximation alone does not describe a low-lying Roper. Coupled channel effects between Nπ and Nππ seem to be crucial to render a low-lying Roper in experiment, reinforcing the notion that this state could be a dynamically generated resonance. After giving a brief motivation for studying the Roper channel and the relevant technical details to this study, we will discuss the results and the conclusions based on our lattice investigation and in comparison with other lattice calculations.

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