The 4He Trimer: Structure and Energetics of a Very Unusual Molecule

2003 ◽  
Vol 68 (1) ◽  
pp. 1-22 ◽  
Author(s):  
Cono Di Paola ◽  
Franco A. Gianturco ◽  
Gerardo Delgado-Barrio ◽  
Salvador Miret-Artés ◽  
Pablo Villarreal
Keyword(s):  
Monte Carlo ◽  
Stochastic Analysis ◽  
Binding Energies ◽  
Geometric Constraints ◽  
Spatial Density ◽  
Spatial Distributions ◽  
Diffusion Monte Carlo ◽  
Density Distributions ◽  
Total Binding ◽  
Full Interaction

The 4He3 weakly interacting system is analysed by constructing the full interaction as a sum of two-body (2B) potentials chosen among the most recent proposals from the literature. The spatial density distributions of the three bound atoms are obtained using a diffusion Monte Carlo (DMC) algorithm and a stochastic analysis under specific geometric constraints is carried out with the resulting densities in order to recover a more conventional structural picture for such floppy system. The total binding energies were obtained with the chosen potentials analysed in the present work, using the DMC algorithm, and are compared with previous published results. The ensuing spatial distributions are analysed in some detail to select the dominant structures from a conventional triangular description of this very floppy molecule.

NEW CALCULATION FOR SOME GROUND STATE FEATURES OF 40Ca, 48Ca32S AND 39K NUCLEI

2010 ◽  
Vol 19 (02) ◽  
pp. 291-298 ◽  
Author(s):  
H. AYTEKIN ◽  
R. BALDIK ◽  
E. TEL ◽  
A. AYDIN
Keyword(s):  
Ground State ◽  
Nuclear Charge ◽  
Mean Field ◽  
Binding Energies ◽  
Charge Radii ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Density Distributions ◽  
Total Binding ◽  
Experimental Values

Some ground states features of 32 S , 39 K , 40 Ca and 48 Ca nuclei are investigated using the Hartree–Fock method with the Skyrme SKM * and SLy4 forces calculated in two different code implementations. The calculated total binding energies per particle and root mean square (rms) nuclear charge radii using the Skyrme–Hartree–Fock (SHF) + BCS method are compared with relativistic mean-field (RMF) theory and experimental values. The obtained charge density distributions from these code implementations are compared with the experimental data. Pairing effects are also included in calculations for the same nuclei. Variations of the total binding energies per particle and rms nuclear charge radii were investigated as the last shell nucleons were carried to the upper shell.

A QUANTUM MONTE CARLO STUDY ON EXCITONIC COMPLEXES IN GaAs/AlGaAs QUANTUM WIRES

2001 ◽  
Vol 15 (28n30) ◽  
pp. 3985-3988 ◽  
Author(s):  
TAKUMA TSUCHIYA
Keyword(s):  
Monte Carlo ◽  
Binding Energy ◽  
Quantum Monte Carlo ◽  
Quantum Wires ◽  
Monte Carlo Study ◽  
Binding Energies ◽  
Wave Functions ◽  
Diffusion Monte Carlo ◽  
Biexciton Binding Energy ◽  
Diffusion Monte Carlo Method

Binding energies of biexcitons and charged excitons in GaAs/Al 0.3 Ga 0.7 As quantum wires were calculated by the diffusion Monte Carlo method. The binding energy for the negatively charged excitons is enhanced strongly, because of the mismatch of the electron and the hole wave functions. The resulting biexciton binding energy reproduces experimental results quite well.

scholarly journals Nonlocal pseudopotentials and time-step errors in diffusion Monte Carlo

2021 ◽  
Vol 154 (21) ◽  
pp. 214110
Author(s):  
Tyler A. Anderson ◽  
C. J. Umrigar
Keyword(s):  
Monte Carlo ◽  
Diffusion Monte Carlo ◽  
Time Step
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