Configuration interaction in the continuum states of molecules

1968 ◽  
Vol 1 (3) ◽  
pp. 349-364 ◽  
Author(s):  
J N Bardsley
Keyword(s):  
Configuration Interaction ◽  
Continuum States ◽  
The Continuum

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.

QUANTUM TRANSPORT IN MESOSCOPIC RINGS WITH STUBS

1996 ◽  
Vol 10 (26) ◽  
pp. 3569-3581 ◽  
Author(s):  
SAM YOUNG CHO ◽  
TAESEUNG CHOI ◽  
CHANG-MO RYU
Keyword(s):  
Quantum Transport ◽  
Transmission Probability ◽  
Localized States ◽  
Persistent Currents ◽  
Quantum Waveguide ◽  
One Dimensional ◽  
Continuum States ◽  
Discrete States ◽  
The One ◽  
The Continuum

Quantum transport in the open-system mesoscopic rings with stubs in the absence of magnetic field is investigated by using the one-dimensional quantum waveguide theory. It is shown that discretely localized states due to the presence of stubs play an important role in the electron transport. The behavior of transmission probability shows the asymmetric Fano resonance, which arises from the interaction between the continuum states and the discrete states. Amplification of the persistent currents by the localized states due to the stub is clearly shown. Negative currents are also noticed.

A GTO basis set calculation of properties of the continuum. Photoionization and resonances of He

1992 ◽  
Vol 70 (2) ◽  
pp. 513-519 ◽  
Author(s):  
Roberto Moccia ◽  
Pietro Spizzo
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Photoionization Cross Section ◽  
Basis Set ◽  
Basis Sets ◽  
Gaussian Basis Sets ◽  
Continuum States ◽  
K Matrix ◽  
The Continuum ◽  
Autoionizing States

By using the K-matrix technique for the continuum states that was previously employed with particularly diffuse L2 basis sets, it is shown that GTO bases are also capable of yielding accurate values for the properties belonging to the electronic continuum. The method has been tested for helium and proved of satisfactory accuracy also for the analysis of the autoionizing states. The results include the phase shifts of the continuum states of the 1Seand 1P° manifolds, the properties of the lowest resonances of these symmetries, the ground state photoionization cross section, and the S contribution to the 1s2p1P° photoionization cross section. The results obtained suggest that the proposed technique should be useful for computing molecular differential photoionization cross sections by exploiting the widely used codes that employ GTO bases. Keywords: photoionization, Gaussian basis sets, helium, autoionizing states.

scholarly journals Relativistic Friedrichs–Lee model and quark-pair creation model

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
Zhi-Yong Zhou ◽  
Zhiguang Xiao
Keyword(s):  
Potential Model ◽  
Scattering Amplitude ◽  
Bound State ◽  
Pair Creation ◽  
The Other ◽  
Hadron Spectrum ◽  
Lee Model ◽  
Continuum States ◽  
Quark Potential ◽  
The Continuum

AbstractIn this paper, we present how the Friedrichs–Lee model could be extended to the relativistic scenario and be combined with the relativistic quark pair creation model in a consistent way. This scheme could be applied to study the “unquenched” effect of the meson spectra. As an example, if the lowest $$J^{PC}=0^{++}$$ J PC = 0 + + $$(u\bar{u}+d\bar{d})/\sqrt{2}$$ ( u u ¯ + d d ¯ ) / 2 bound state in the potential model is coupled to the $$\pi \pi $$ π π continuum, two resonance poles could be found from the scattering amplitude for the continuum states. One of them could correspond to the $$f_0(500)/\sigma $$ f 0 ( 500 ) / σ and the other probably $$f_0(1370)$$ f 0 ( 1370 ) . This scheme might shed more light on why extra states could appear in the hadron spectrum other than the prediction of the quark potential model.

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