scholarly journals Consistent Theory of Alpha-Decay

2021 ◽  
Vol 66 (5) ◽  
pp. 379
Author(s):  
A.Ya. Dzyublik
Keyword(s):  
Angular Momentum ◽  
Wave Front ◽  
Alpha Decay ◽  
Bound State ◽  
Wave Functions ◽  
Quasiclassical Approximation ◽  
Consistent Theory ◽  
Scattering States ◽  
Scattering Wave ◽  
The Continuum

In the framework of the Goldberger–Watson decay theory, we consider the a-decay of nuclei as a transition between the initial bound state of the nucleus and scattering states of the continuum spectrum with a-particle. The scattering wave functions for the a-decay with arbitrary orbital angular momentum are derived in the quasiclassical approximation. The a-particle is described by the square-integrable wave packet formed by these functions, whose amplitude exponentially grows outside the nucleus up to the wave front. The Moshinsky’s distortions of the a-wave front are analyzed. The derived general expression for the decay rate is approximated by the quasiclassical formula.

scholarly journals Scattering wave functions at bound state poles

1997 ◽  
Vol 56 (6) ◽  
pp. 566-570 ◽  
Author(s):  
Göran Fäldt ◽  
Colin Wilkin
Keyword(s):  
Bound State ◽  
Wave Functions ◽  
Scattering Wave

Mikroskopische Theorie der Kernreaktionen für einen Mehrteilchen-Aufbruch / Microscopic Theory of Nuclear Reactions for a Multi-particle-break-up

1974 ◽  
Vol 29 (6) ◽  
pp. 859-866 ◽  
Author(s):  
A. Grauel
Keyword(s):  
Nuclear Reactions ◽  
Microscopic Theory ◽  
Bound State ◽  
Wave Functions ◽  
Matrix Elements ◽  
S Matrix ◽  
The Matrix ◽  
Nucleon Emission ◽  
The Continuum ◽  
Continuum Wave

Introducing correlated continuum wave functions for the two- and re-particle-continuum a microscopic theory of nuclear reactions based on a method of Fano is developed. The S-matrix-elements are given by the matrix-elements between correlated continuum wave functions and bound state wave functions. The antisymmetrization of the continuum wave functions with more than one particle in the continuum is included. The theory can be straightforwardly applied on the n-nucleon-emission process following photo- and particle excitations.

RHO PRODUCTION IN PROTON-NUCLEUS COLLISION

1999 ◽  
Vol 08 (03) ◽  
pp. 243-256 ◽  
Author(s):  
SWAPAN DAS ◽  
B. K. JAIN ◽  
A. B. SANTRA
Keyword(s):  
Reaction Mechanism ◽  
Cross Sections ◽  
Target Nucleus ◽  
Beam Energy ◽  
Plane Waves ◽  
Bound State ◽  
Wave Functions ◽  
Decay Probability ◽  
Hadron Masses ◽  
The Continuum

With the final aim to explore the effect of the medium on hadron masses we study the reaction mechanism for the (p,p′ρ0) reaction on nuclei. We focus on the amplitudes which are dominated by the N*(1720)P13 resonance in intermediate state. This resonance has about 80% decay probability to Nρ channel. A nonrelativistic formalism is written for different amplitudes. The theoretical cross sections are presented for the 12 C target nucleus around 3 GeV beam energy. These results are found to be sensitive to the N* as well as ρ mass modifications in the medium. These two effects in the p′ spectrum can be separated experimentally as they are found to occur at different values of the p′ momentum. Because of the exploratory nature of this investigation, simple forms are used for the bound-state wave functions, and the continuum particles are approximated by plane waves.

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.

scholarly journals SCATTERING, GREEN’S FUNCTIONS AND SYMMETRIES IN A TOTAL SPACE OF A DIRAC MONOPOLE FIBRE BUNDLE

1991 ◽  
Vol 06 (04) ◽  
pp. 577-598 ◽  
Author(s):  
A.G. SAVINKOV ◽  
A.B. RYZHOV
Keyword(s):  
Green's Functions ◽  
Principal Bundle ◽  
Fibre Bundle ◽  
Green’S Functions ◽  
Wave Functions ◽  
Total Space ◽  
Dirac Monopole ◽  
Hidden Symmetries ◽  
Scattering Wave ◽  
A Charge

The scattering wave functions and Green’s functions were found in a total space of a Dirac monopole principal bundle. Also, hidden symmetries of a charge-Dirac monopole system and those joining the states relating to different topological charges n=2eg were found.

Wave-front restoration of orbital-angular-momentum beam based on phase diversity with GRNN

2021 ◽  
Author(s):  
Yuanzhi Su ◽  
Xiaoli Yin ◽  
Huan Chang ◽  
Zhaoyuan Zhang ◽  
Yuhang Liu
Keyword(s):  
Angular Momentum ◽  
Wave Front ◽  
Orbital Angular Momentum ◽  
Phase Diversity

scholarly journals Bound state in the continuum in 1D chain of dielectric disks: theory and experiment

2018 ◽  
Vol 1092 ◽  
pp. 012012 ◽  
Author(s):  
M. Balyzin ◽  
Z. Sadrieva ◽  
M. Belyakov ◽  
P. Kapitanova ◽  
A. Sadreev ◽  
...  
Keyword(s):  
Bound State ◽  
1D Chain ◽  
Theory And Experiment ◽  
The Continuum

Bound and scattering state solutions of a hyperbolic-type potential

2013 ◽  
Vol 91 (2) ◽  
pp. 120-125 ◽  
Author(s):  
Ali Ghoumaid ◽  
Farid Benamira ◽  
Larbi Guechi
Keyword(s):  
Hyperbolic Type ◽  
Wave Functions ◽  
Integral Approach ◽  
Centrifugal Term ◽  
Scattering Function ◽  
S Waves ◽  
Barrier Potential ◽  
Scattering States ◽  
Scattering State ◽  
Type Potential

A hyperbolic-type potential with a centrifugal term is solved approximately using the path integral approach. The radial Green's function is expressed in closed form, from which the energy spectrum and the suitably normalized wave functions of bound and scattering states are extracted for (1/2) − [Formula: see text] < σ < (1/2) + [Formula: see text]. Besides, the phase shift and the scattering function Sl for each angular momentum l are deduced. The particular cases corresponding to the s-waves (l = 0) and the barrier potential (σ = 1) are also analyzed.

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