scholarly journals Theory of Dissociative Ionization Processes

1983 ◽  
Vol 3 (1-6) ◽  
pp. 73-83 ◽  
Author(s):  
S. Kanfer ◽  
M. Shapiro
Keyword(s):  
Body Wave ◽  
Inelastic Collisions ◽  
Quantum Mechanical ◽  
Penning Ionization ◽  
Continuum States ◽  
Coupled Channels ◽  
Quantum Mechanical Theory ◽  
Artificial Channel ◽  
Three Body ◽  
The Continuum

A quantum mechanical theory for the ℏω+AB→A+B++e- three body breakup is presented. The theory is based on the Continuum Coupled Channels expansion (CCC) in which the three body wave-function is expanded in terms of square integrable and (flux carrying) continuum states. The theory consistently treats the accompanying processes of three body inelastic collisions, dissociative attachment and Penning ionization. Applications to the dissociative photoionization of H2 and HD are presented. The relevant equations are solved exactly using the Artificial Channel method. Excellent agreement is obtained with experiment, concerning the proton kinetic energy distribution.

COUPLED-CHANNELS ANALYSES OF 6He BREAKUP REACTIONS

2009 ◽  
Vol 24 (11) ◽  
pp. 2191-2197 ◽  
Author(s):  
T. MATSUMOTO ◽  
T. EGAMI ◽  
K. OGATA ◽  
Y. ISERI ◽  
M. KAMIMURA ◽  
...  
Keyword(s):  
Cross Sections ◽  
Reaction System ◽  
Basis Functions ◽  
Coulomb Breakup ◽  
Body Model ◽  
Coupled Channels ◽  
Gaussian Basis Functions ◽  
Three Body ◽  
Good Agreement ◽  
The Continuum

We present analyses of breakup effects of 6 He on the elastic scattering by the continuum-discretized coupled-channels method, in which the reaction system is described as a four-body model, n+n+4 He +target. In this analysis, three-body breakup continuum of 6 He is discretized by daiagonalizing the internal Hamiltonian of 6 He in a space spanned by the Gaussian basis functions. The calculated elastic cross sections are in good agreement with the experimental data, which shows that nuclear and Coulomb breakup effects are significant.

RESONANCES AND CONTINUUMS IN THE THREE-BODY BREAKUP OF HALO NUCLEI WITH THE COMPLEX SCALING METHOD

2003 ◽  
Vol 18 (02n06) ◽  
pp. 166-169
Author(s):  
TAKAYUKI MYO ◽  
KIYOSHI KATŌ ◽  
SHIGEYOSHI AOYAMA ◽  
KIYOMI IKEDA
Keyword(s):  
Halo Nuclei ◽  
Complex Scaling ◽  
Scaling Method ◽  
Coulomb Breakup ◽  
Complex Scaling Method ◽  
Continuum States ◽  
Body Model ◽  
Decay Widths ◽  
Three Body ◽  
The Continuum

We investigate the three-body Coulomb breakup reaction of two-neutron halo nuclei 11 Li , where we adopt the extended three-body model of 11 Li with paying attention to the pairing correlation of the nuclei, and also employ the complex scaling method (CSM) to solve the three-body unbound states of 11 Li . From the results, we cannot find any dipole resonances, at least, having small decay widths. This means that the breakup strength is exhausted by the continuum states. We compare the obtained strength showing the low energy enhancement to the several experimental data.

THE CONTINUUM SHELL MODEL WITH FULL CORRECTION FOR TARGET RECOIL

2005 ◽  
Vol 14 (02) ◽  
pp. 171-187 ◽  
Author(s):  
DEAN HALDERSON
Keyword(s):  
Shell Model ◽  
General Model ◽  
Recent Progress ◽  
Composite System ◽  
Exchange Reactions ◽  
Continuum States ◽  
History Of ◽  
Full Correction ◽  
Three Body ◽  
The Continuum

A brief history of the continuum shell model with full correction for target recoil is provided. Past applications to nucleon induced reactions, nucleon capture, knockout reactions by pions and electrons, and strangeness exchange reactions are provided. Recent progress of the model is reviewed. Examples of continuum states for p-shell nuclei, derived from both two and three-body interactions, are given. Finally, the general model is presented in which any core states and any states of the composite system may be incorporated in a calculation.

scholarly journals The importance of basis states: an example using the hydrogen basis

2015 ◽  
Vol 93 (10) ◽  
pp. 1009-1014
Author(s):  
Lindsay Forestell ◽  
Frank Marsiglio
Keyword(s):  
Simple System ◽  
Basis Set ◽  
Quantum Mechanical ◽  
Hamiltonian Matrix ◽  
Electron Configuration ◽  
Continuum States ◽  
Complete Basis ◽  
Quantum Mechanical Description ◽  
Complete Basis Set ◽  
The Continuum

We use a simple system, the electron configuration in a hydrogen-like atom, to demonstrate the importance of using a complete basis set to provide a proper quantum mechanical description. We first start with what may be considered a successful strategy — to diagonalize a truncated Hamiltonian matrix, written in a basis consisting of hydrogen (Z = 1) basis states. This fails to provide the correct answer, and we then demonstrate that the continuum basis states provided the rest of the true wave function, for the bound ground states. This work then shows, in a relatively simple system, the need to utilize a complete basis set, consisting of both bound and continuum states.

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