scholarly journals Particle representation for $NN{\bar K}$ system

2020 ◽  
Author(s):  
Branislav Vlahovic ◽  
Igor Filikhin ◽  
Roman Ya. Kezarashvili
Keyword(s):  
Quantum System ◽  
Configuration Space ◽  
Bound States ◽  
Bound State ◽  
Particle Model ◽  
Faddeev Equations ◽  
Quasi Bound State

In the framework of the Faddeev equations in configuration space we perform an analysis of quasi-bound state of the NN{\bar K}NNK‾ system within a particle model. In our approach, the system NN{\bar K}(s_{NN}=0)NNK‾(sNN=0) (NN{\bar K}(s_{NN}=1))NNK‾(sNN=1)) is described as a superposition of ppK^{-}ppK− and pn{\bar K}^0pnK‾0 (nn{\bar K}^{0}nnK‾0 and pn{ K}^-pnK−) states, which is possible due to a particle transition. The relation of the particle model to the theory of a two-state quantum system is addressed and discussed taking into account the possibilities of deep and shallow NN{\bar K}(s_{NN}=0)NNK‾(sNN=0) quasi-bound states.

scholarly journals Solution of Faddeev integral equations in configuration space using the hyperspherical harmonics expansion method

2014 ◽  
Vol 23 (11) ◽  
pp. 1450069
Author(s):  
Valery I. Kovalchuk
Keyword(s):  
Configuration Space ◽  
Magnetic Moments ◽  
Expansion Method ◽  
Bound State ◽  
Binding Energies ◽  
Hyperspherical Harmonics ◽  
Faddeev Equations ◽  
Charge Radii ◽  
Mixed Symmetry ◽  
Hyperspherical Harmonics Expansion

In this paper, a method has been developed to solve three-particle Faddeev equations in the configuration space making use of a series expansion in hyperspherical harmonics. The following parameters of the bound state of triton and helium-3 nuclei have been calculated: the binding energies, the weights of symmetric and mixed-symmetry components of the wave function, the magnetic moments, and the charge radii.

scholarly journals Calculations ofη-nuclear quasi-bound states in few-body systems

2019 ◽  
Vol 199 ◽  
pp. 02022
Author(s):  
M. Schäfer ◽  
N. Barnea ◽  
E. Friedman ◽  
A. Gal ◽  
J. Mareš
Keyword(s):  
Scattering Amplitudes ◽  
Variational Method ◽  
Imaginary Part ◽  
Bound States ◽  
Bound State ◽  
Stochastic Variational Method ◽  
Interaction Models ◽  
Recent Calculation ◽  
Coupled Channel ◽  
Quasi Bound State

We report on our Stochastic Variational Method (SVM) calculations ofη-nuclear quasi-bound states in s-shell nuclei as well as the very recent calculation of the p-shell nucleus6Li. TheηNpotentials used were constructed fromηNscattering amplitudes obtained within coupled-channel models that incorporateN*(1535) resonance. We found thatη6Li is bound in theηNinteraction models that yield ReaηN≥ 0.67 fm. Additional repulsion caused by the imaginary part ofηNpotentials shifts the onset ofη-nuclear binding toη4He, yielding very likely no quasi-bound state inη3He.

scholarly journals Effect of isospin averaging for $ppK^-$ kaonic cluster

2020 ◽  
Author(s):  
Branislav Vlahovic ◽  
Igor Filikhin
Keyword(s):  
State Energy ◽  
Potential Model ◽  
Singlet State ◽  
Bound State ◽  
Bound State Energy ◽  
Faddeev Equations ◽  
Potential Models ◽  
Significant Difference ◽  
Three Body ◽  
Quasi Bound State

The kaonic cluster ppK^-ppK− is described by isospin-dependent N{\bar K}NK‾ potentials with significant difference between singlet and triplet components. The quasi-bound state energy of the system is calculated based on the configuration space Faddeev equations within isospin and averaged potential models. The isospin averaging of N{\bar K}NK‾ potentials is used to simplify the isospin model to isospinless one. We show that three-body bound state energy E_{3}E3 has a lower bound within the isospin formalism due to relation \left\vert E_{3}(V_{NN}=0)\right\vert<2\left\vert E_{2}\right\vert|E3(VNN=0)|<2|E2|, where E_{2}E2 is the binding energy of isospin singlet state of the N{\bar K}NK‾ subsystem. The averaged potential model demonstrates opposite relation between |E_{2}||E2| and |E_{3}(V_{NN}=0)||E3(VNN=0)|.

Lower Bound for ppK– Quasi-Bound State Energy

2020 ◽  
Vol 51 (5) ◽  
pp. 979-987 ◽  
Author(s):  
I. Filikhin ◽  
B. Vlahovic
Keyword(s):  
Lower Bound ◽  
State Energy ◽  
Bound State ◽  
Bound State Energy ◽  
Quasi Bound State

Four-Body Faddeev-Type Calculation of $${\bar{K}}NNN$$ System: $$K^- n p$$ Quasi-bound State

2021 ◽  
Vol 62 (3) ◽  
Author(s):  
Nina V. Shevchenko
Keyword(s):  
Bound State ◽  
Type Calculation ◽  
Quasi Bound State

scholarly journals Bound states of a Klein–Gordon particle in the presence of a smooth potential well

2020 ◽  
Vol 35 (23) ◽  
pp. 2050140
Author(s):  
Eduardo López ◽  
Clara Rojas
Keyword(s):  
Bound States ◽  
Gordon Equation ◽  
Bound State ◽  
Potential Well ◽  
One Dimensional ◽  
Smooth Potential ◽  
Klein Gordon ◽  
The One ◽  
Potential Parameters ◽  
Klein Gordon Equation

We solve the one-dimensional time-independent Klein–Gordon equation in the presence of a smooth potential well. The bound state solutions are given in terms of the Whittaker [Formula: see text] function, and the antiparticle bound state is discussed in terms of potential parameters.

RETARDATION EFFECTS IN COVARIANT THREE-DIMENSIONAL BOUND STATE WAVE FUNCTIONS

2005 ◽  
Vol 14 (06) ◽  
pp. 931-947 ◽  
Author(s):  
F. PILOTTO ◽  
M. DILLIG
Keyword(s):  
Bound States ◽  
Three Dimensional ◽  
Bound State ◽  
Relative Energy ◽  
Wave Functions ◽  
Three Dimensions ◽  
State Wave ◽  
Scalar Diquark ◽  
Bound State Wave Function ◽  
Retardation Effects

We investigate the influence of retardation effects on covariant 3-dimensional wave functions for bound hadrons. Within a quark-(scalar) diquark representation of a baryon, the four-dimensional Bethe–Salpeter equation is solved for a 1-rank separable kernel which simulates Coulombic attraction and confinement. We project the manifestly covariant bound state wave function into three dimensions upon integrating out the non-static energy dependence and compare it with solutions of three-dimensional quasi-potential equations obtained from different kinematical projections on the relative energy variable. We find that for long-range interactions, as characteristic in QCD, retardation effects in bound states are of crucial importance.

Excitation of the quasi-bound state in 4He by electron scattering at medium momentum transfer

1983 ◽  
Vol 405 (3) ◽  
pp. 648-652 ◽  
Author(s):  
G. Köbschall ◽  
C. Ottermann ◽  
K. Maurer ◽  
K. Röhrich ◽  
Ch. Schmitt ◽  
...  
Keyword(s):  
Momentum Transfer ◽  
Electron Scattering ◽  
Bound State ◽  
Quasi Bound State

THE NEXT STEP IN LEPTONIC DECAYS OF ETA AND KL BOUND STATES

1992 ◽  
Vol 07 (09) ◽  
pp. 1935-1951 ◽  
Author(s):  
G.A. KOZLOV
Keyword(s):  
Field Theory ◽  
Transition Form Factor ◽  
Bound States ◽  
Three Dimensional ◽  
Bound State ◽  
Quantum Field ◽  
Relative Momentum ◽  
Transition Form ◽  
Structure Transition ◽  
Leptonic Decays

A systematic discussion of the probability of eta and KL bound-state decays—[Formula: see text] and [Formula: see text](l=e, μ)—within a three-dimensional reduction to the two-body quantum field theory is presented. The bound-state vertex function depends on the relative momentum of constituent-like particles. A structure-transition form factor is defined by a confinement-type quark-antiquark wave function. The phenomenology of this kind of decays is analyzed.

High Q-factor fano resonances driven by quasi bound state in the continuum based on all-dielectric metasurface

2021 ◽  
Author(s):  
Ziang Gao ◽  
Shilin Yu ◽  
Yusen Wang ◽  
Tonggang Zhao
Keyword(s):  
Bound State ◽  
Q Factor ◽  
Fano Resonances ◽  
High Q ◽  
Dielectric Metasurface ◽  
The Continuum ◽  
Quasi Bound State
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