Quantum effects in the diffusion process to form a heavy nucleus in heavy-ion fusion reactions

Washiyama, Kouhei
Yilmaz, Buelent
Ayik, Sakir
Takigawa, Noboru
We discuss quantum effects in the diffusion process which is used to describe the shape evolution from the touching configuration of fusing two nuclei to a compound nucleus. Applying the theory with quantum effects to the case where the potential field, the mass and friction parameters are adapted to realistic values of heavy-ion collisions, we show that the quantum effects play significant roles at low temperatures which are relevant to the synthesis of superheavy elements.


Interacting electrons in a 2D quantum dot
Akman, N; Tomak, Mehmet (1999-04-01)
The exact numerical diagonalization of the Hamiltonian of a 2D circular quantum dot is performed for 2, 3, and 4 electrons. The results an compared with those of the perturbation theory. Our numerical results agree reasonably well for small values of the dimensionless coupling constant lambda = a/a(B) where a is the dot radius and a(B) is the effective Bohr radius. Exact diagonalization results are compared with the classical predictions, and they are found to be almost coincident for large lambda values.
Quantum mechanical calculation of nitrous oxide decomposition on transition metals
Karaöz, Muzaffer Kaan; Önal, Işık; Department of Chemical Engineering (2007)
Nitrous oxide decomposition on Ag51, Au51, Pt22, Rh51 and Ir51 clusters representing (111) surface were studied quantum mechanically by using the method of ONIOM with high layer DFT region and low layer of molecular mechanics region utilizing universal force field (UFF). The basis set employed in the DFT calculations is the Los Alamos LANL2DZ effective core pseudo-potentials (ECP) for silver, gold, platinum, rhodium and iridium and 3-21G** for nitrogen, oxygen and hydrogen. Nitrous oxide was decomposed on t...
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Erkoç, Şakir; Erkoc, F (Elsevier BV, 2005-04-14)
The structural and electronic properties of the thalidomide molecule have been investigated theoretically by performing semi-empirical molecular orbital (AM1) and density functional theory calculations. The geometry of the molecule has been optimized by AM1 method and the electronic properties of the molecule have been calculated by density functional theory in its ground state.
Dielectric and Thermal Effects on the Optical Properties of Natural Dyes: A Case Study on Solvated Cyanin
Malcıoğlu, Osman Barış; Gebauer, Ralph; Varsano, Daniele; Baroni, Stefano (2011-10-05)
The optical properties of the flavylium state of the cyanin dye are simulated numerically by combining Car-Parrinello molecular dynamics and linear-response time-dependent density functional theory calculations. The spectrum of the dye calculated in the gas phase is characterized by two peaks in the yellow and in the blue (green and violet), using a GGA-PBE (hybrid-B3LYP) DFT functional, which would bring about a greenish (bright orange) color incompatible with the dark purple hue observed in nature. Descri...
Effective theory of interacting fermions in shaken square optical lattices
Keleş, Ahmet; Liu, W. Vincent (2017-06-01)
We develop a theory of weakly interacting fermionic atoms in shaken optical lattices based on the orbital mixing in the presence of time-periodic modulations. Specifically, we focus on fermionic atoms in a circularly shaken square lattice with near-resonance frequencies, i.e., tuned close to the energy separation between the s band and the p bands. First, we derive a time-independent four-band effective Hamiltonian in the noninteracting limit. Diagonalization of the effective Hamiltonian yields a quasienerg...
Citation Formats
K. Washiyama, B. Yilmaz, S. Ayik, and N. Takigawa, “Quantum effects in the diffusion process to form a heavy nucleus in heavy-ion fusion reactions,” 2006, vol. 853, p. 187, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67329.