Scattering and bound states of spin-0 particles in a nonminimal vector double-step potential

L.P. de Oliveira; A.S. de Castro

doi:10.1139/p2012-043

Scattering and bound states of spin-0 particles in a nonminimal vector double-step potential

Canadian Journal of Physics ◽

10.1139/p2012-043 ◽

2012 ◽

Vol 90 (5) ◽

pp. 481-486 ◽

Cited By ~ 5

Author(s):

L.P. de Oliveira ◽

A.S. de Castro

Keyword(s):

Incident Wave ◽

Bound States ◽

Bound State ◽

Bound State Solution ◽

Double Step ◽

Step Potential ◽

Transmission Amplitude ◽

Interesting Special Case ◽

Limiting Case ◽

Special Case

The problem of spin-0 particles subject to a nonminimal vector double-step potential is explored in the context of Duffin–Kemmer–Petiau theory. Surprisingly, one can never have an incident wave totally reflected, and the transmission amplitude has complex poles corresponding to bound states. The interesting special case of bosons embedded in a sign potential with its unique bound-state solution is analyzed as a limiting case.

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The existence and uniqueness of bound-state solutions of a semi-linear equation

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2005.1482 ◽

2005 ◽

Vol 461 (2061) ◽

pp. 2941-2963 ◽

Cited By ~ 5

Author(s):

W.C Troy

Keyword(s):

Linear Equation ◽

Existence And Uniqueness ◽

Bound States ◽

Piecewise Linear ◽

Bound State ◽

State Solution ◽

Bound State Solution ◽

Real Zeros ◽

Radially Symmetric Solutions ◽

Solution Changes

We investigate the existence and uniqueness of bounded, radially symmetric solutions in R 3 of Δ u + f ( u )=0, where f ( u ) is continuous, piecewise linear, and has three distinct real zeros. We give a detailed construction of the first two bound states which satisfy as r →∞. The first is the well known positive bound-state solution. The second solution changes sign and has exactly one zero in (0,∞). We prove that both of these solutions are unique.

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Transmission coefficient and two-fold degenerate discrete spectrum of spin-1 bosons in a double-step potential

International Journal of Modern Physics E ◽

10.1142/s0218301315500317 ◽

2015 ◽

Vol 24 (04) ◽

pp. 1550031 ◽

Cited By ~ 2

Author(s):

Luiz P. de Oliveira ◽

Antonio S. de Castro

Keyword(s):

Discrete Spectrum ◽

Transmission Coefficient ◽

Incident Beam ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Double Step ◽

Step Potential ◽

Transmission Amplitude ◽

Square Well

The scattering of spin-1 bosons in a nonminimal vector double-step potential is described in terms of eigenstates of the helicity operator and it is shown that the transmission coefficient is insensitive to the choice of the polarization of the incident beam. Poles of the transmission amplitude reveal the existence of a two-fold degenerate spectrum. The results are interpreted in terms of solutions of two coupled effective Schrödinger equations for a finite square well with additional δ-functions situated at the borders.

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

International Journal of Modern Physics A ◽

10.1142/s0217751x20501407 ◽

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.

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RETARDATION EFFECTS IN COVARIANT THREE-DIMENSIONAL BOUND STATE WAVE FUNCTIONS

International Journal of Modern Physics E ◽

10.1142/s0218301305003661 ◽

2005 ◽

Vol 14 (06) ◽

pp. 931-947 ◽

Cited By ~ 2

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.

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

International Journal of Modern Physics A ◽

10.1142/s0217751x92000843 ◽

1992 ◽

Vol 07 (09) ◽

pp. 1935-1951 ◽

Cited By ~ 5

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.

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Structural insights into the mechanism of the DEAH-box RNA helicase Prp43

eLife ◽

10.7554/elife.21510 ◽

2017 ◽

Vol 6 ◽

Cited By ~ 43

Author(s):

Marcel J Tauchert ◽

Jean-Baptiste Fourmann ◽

Reinhard Lührmann ◽

Ralf Ficner

Keyword(s):

Conformational Changes ◽

Bound States ◽

Rna Binding ◽

Atp Hydrolysis ◽

Bound State ◽

Rna Helicases ◽

Large Rearrangements ◽

Rna Complex ◽

Structural Insights ◽

Terminal Domains

The DEAH-box helicase Prp43 is a key player in pre-mRNA splicing as well as the maturation of rRNAs. The exact modus operandi of Prp43 and of all other spliceosomal DEAH-box RNA helicases is still elusive. Here, we report crystal structures of Prp43 complexes in different functional states and the analysis of structure-based mutants providing insights into the unwinding and loading mechanism of RNAs. The Prp43•ATP-analog•RNA complex shows the localization of the RNA inside a tunnel formed by the two RecA-like and C-terminal domains. In the ATP-bound state this tunnel can be transformed into a groove prone for RNA binding by large rearrangements of the C-terminal domains. Several conformational changes between the ATP- and ADP-bound states explain the coupling of ATP hydrolysis to RNA translocation, mainly mediated by a β-turn of the RecA1 domain containing the newly identified RF motif. This mechanism is clearly different to those of other RNA helicases.

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THE BETHE–SALPETER EQUATION APPROACH TO BOUND STATE: SCALAR–FERMION CASE AND SCALAR–SCALAR CASE

Modern Physics Letters A ◽

10.1142/s0217732307023353 ◽

2007 ◽

Vol 22 (39) ◽

pp. 2979-2992 ◽

Cited By ~ 2

Author(s):

JIAO-KAI CHEN ◽

ZHENG-XIN TANG ◽

QING-DONG CHEN

Keyword(s):

Bound States ◽

Bound State ◽

Wave Functions ◽

Scalar Case ◽

Equation Approach

The general form of the Bethe–Salpeter wave functions for bound states comprising one scalar constituent and one fermion, or two scalars is presented. Using the reduced Salpeter equation obtained, we can work out the effective nonrelativistic potentials. And one new version of reduced Bethe–Salpeter equation is proposed by extending Gross approximation.

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Instability of charged massive scalar fields in bound states around Kerr–Sen black holes

International Journal of Modern Physics D ◽

10.1142/s0218271815501023 ◽

2015 ◽

Vol 24 (14) ◽

pp. 1550102 ◽

Cited By ~ 14

Author(s):

Haryanto M. Siahaan

Keyword(s):

Black Holes ◽

Bound States ◽

Gordon Equation ◽

Scalar Fields ◽

Bound State ◽

Imaginary Component ◽

Scalar Perturbation ◽

Massive Scalar ◽

Massive Scalar Field ◽

Klein Gordon

In this paper, we show the instability of a charged massive scalar field in bound states around Kerr–Sen black holes. By matching the near and far region solutions of the radial part in the corresponding Klein–Gordon equation, one can show that the frequency of bound state scalar fields contains an imaginary component which gives rise to an amplification factor for the fields. Hence, the unstable modes for a charged and massive scalar perturbation in Kerr–Sen background can be shown.

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Bound States of Spinless Particles in a Short-Range Potential

Zeitschrift für Naturforschung A ◽

10.1515/zna-2015-0025 ◽

2015 ◽

Vol 70 (4) ◽

pp. 245-249 ◽

Cited By ~ 1

Author(s):

Hassan Hassanabadi ◽

Antonio Soares de Castro

Keyword(s):

Short Range ◽

Bound States ◽

Bound State ◽

Scalar Coupling ◽

Spinless Particle ◽

Vector Coupling ◽

Short Range Potential ◽

Range Potential ◽

Constraint Relation ◽

Potential Parameters

AbstractWith a general mixing of vector and scalar couplings in a two-dimensional world, a short-range potential is used to explore certain features of the bound states of a spinless particle. Bound-state solutions are found in terms of the Gauss hypergeometric series when the potential parameters obey a certain constraint relation limiting the dosage of a vector coupling. The appearance of the Schiff–Snyder–Weinberg effect for a strong vector coupling and a short-range potential as well as its suppression by the addition of a scalar coupling is discussed.

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