<p align="justify"> <span style="font-family:Verdana;"><span style="font-family:Verdana;font-size:12px;">In this work, we extend our work on the Heisenberg model of the ...<p align="justify"> <span style="font-family:Verdana;"><span style="font-family:Verdana;font-size:12px;">In this work, we extend our work on the Heisenberg model of the neutron formulated as a dwarf hydrogen-like atom under the influence of the More General Exponential Screened Coulomb Potential (MGESCP) to show that an atomic nucleus may possess a molecular structure made up of atoms bonding together by a potential used to describe the strong force associated with a generalised Yukawa MGESCP potential. We show that the neutrons and protons are arranged into narrow lattices therefore they may fold to form three-dimensional shells by bonding similar to hydrogen bonding. In particular, the nucleons may form stable structures such as that of fullerenes in which the vertices are occupied by the nucleons which are simply just protons. For example, a nucleus with a total number of 60 nucleons may arrange itself into the topological structure of a buckminsterfullerene. We also apply </span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;font-size:12px;">Schr</span></span><span style="font-family:;"><span style="font-family:;font-size:12px;"></span><span style="text-align:left;widows:2;text-transform:none;background-color:#ffffff;font-style:normal;text-indent:0px;display:inline !important;font-family:Verdana;white-space:normal;orphans:2;float:none;letter-spacing:normal;font-size:12px;font-weight:400;word-spacing:0px;font-variant-ligatures:normal;font-variant-caps:normal;-webkit-text-stroke-width:0px;text-decoration-style:initial;text-decoration-color:initial;">ö</span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;font-size:12px;">dinger</span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;font-size:12px;"> wave equation with central field approximation to describe the quantum dynamics of nuclei of atomic atoms that now possess the physical structure of a dwarf molecular ion.</span></span> </p>展开更多
A rapid and more efficient method was developed to prepare nucleus/shell titania/hydroxyapatite （TiO2/HAP） complex nanophotocatalyst. Hydroxyapatite （5 μm） which had been dissolved with 0.1 mol/L HCI was formed o...A rapid and more efficient method was developed to prepare nucleus/shell titania/hydroxyapatite （TiO2/HAP） complex nanophotocatalyst. Hydroxyapatite （5 μm） which had been dissolved with 0.1 mol/L HCI was formed on the surface of the nanosized anatase titania powders by increasing the pH value of the solution at 90℃ in the water bath for only several hours .The microstructure and morphology of the resulting sample were investigated by X-ray diffraction （XRD）, Fourier-transform infrared spectroscopy （FT-IR）, scanning electron microscopy （SEM）, energy dispersive spectrum （EDS） and atomic force microscope （AFM）. The results indicated that nucleus/shell structural TiO2/HAP was formed in our experiments, and the thickness of the coating layer was about 5 nm. Photocatalytic decomposition of methyl orange was utilized to test the photocatalysis of the resulting samples and the result was compared with that of pure anatase titania powders （about 20 nm）. It was shown that the photocatalytic activity of the sample was not decreased due to the coating of HAP.展开更多
We investigate the soft behavior of the tree-level Rutherford scattering process.We consider two types of Rutherford scattering processes:One in which a low-energy massless point-like projectile(say,a spin-1/2 or spin...We investigate the soft behavior of the tree-level Rutherford scattering process.We consider two types of Rutherford scattering processes:One in which a low-energy massless point-like projectile(say,a spin-1/2 or spin-0 electron)hits a static massive composite target particle carrying various spins(up to spin-2),and one where a slowly-moving light projectile hits a heavy static composite target.For the first type,the unpolarized cross sections in the laboratory frame are found to exhibit universal forms in the first two orders of 1/M expansion yet differ at the next-to-next-to-leading order(though some terms at this order still remain universal or depend on the target spin in a definite manner).For the second type,at the lowest order in electron velocity expansion,through all orders in 1/M,the unpolarized cross section is universal(also not sensitive to the projectile spin).The universality partially breaks down at relative order-v^(2)/M^(2),though some terms at this order are still universal or depend on the target spin in a specific manner.We also employ the effective field theory approach to reproduce the soft behavior of the differential cross sections for when the target particle is a composite spin-1/2 fermion.展开更多
文摘<p align="justify"> <span style="font-family:Verdana;"><span style="font-family:Verdana;font-size:12px;">In this work, we extend our work on the Heisenberg model of the neutron formulated as a dwarf hydrogen-like atom under the influence of the More General Exponential Screened Coulomb Potential (MGESCP) to show that an atomic nucleus may possess a molecular structure made up of atoms bonding together by a potential used to describe the strong force associated with a generalised Yukawa MGESCP potential. We show that the neutrons and protons are arranged into narrow lattices therefore they may fold to form three-dimensional shells by bonding similar to hydrogen bonding. In particular, the nucleons may form stable structures such as that of fullerenes in which the vertices are occupied by the nucleons which are simply just protons. For example, a nucleus with a total number of 60 nucleons may arrange itself into the topological structure of a buckminsterfullerene. We also apply </span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;font-size:12px;">Schr</span></span><span style="font-family:;"><span style="font-family:;font-size:12px;"></span><span style="text-align:left;widows:2;text-transform:none;background-color:#ffffff;font-style:normal;text-indent:0px;display:inline !important;font-family:Verdana;white-space:normal;orphans:2;float:none;letter-spacing:normal;font-size:12px;font-weight:400;word-spacing:0px;font-variant-ligatures:normal;font-variant-caps:normal;-webkit-text-stroke-width:0px;text-decoration-style:initial;text-decoration-color:initial;">ö</span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;font-size:12px;">dinger</span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;font-size:12px;"> wave equation with central field approximation to describe the quantum dynamics of nuclei of atomic atoms that now possess the physical structure of a dwarf molecular ion.</span></span> </p>
文摘A rapid and more efficient method was developed to prepare nucleus/shell titania/hydroxyapatite （TiO2/HAP） complex nanophotocatalyst. Hydroxyapatite （5 μm） which had been dissolved with 0.1 mol/L HCI was formed on the surface of the nanosized anatase titania powders by increasing the pH value of the solution at 90℃ in the water bath for only several hours .The microstructure and morphology of the resulting sample were investigated by X-ray diffraction （XRD）, Fourier-transform infrared spectroscopy （FT-IR）, scanning electron microscopy （SEM）, energy dispersive spectrum （EDS） and atomic force microscope （AFM）. The results indicated that nucleus/shell structural TiO2/HAP was formed in our experiments, and the thickness of the coating layer was about 5 nm. Photocatalytic decomposition of methyl orange was utilized to test the photocatalysis of the resulting samples and the result was compared with that of pure anatase titania powders （about 20 nm）. It was shown that the photocatalytic activity of the sample was not decreased due to the coating of HAP.
基金Supported in part by the National Natural Science Foundation of China(11925506,12475090).
文摘We investigate the soft behavior of the tree-level Rutherford scattering process.We consider two types of Rutherford scattering processes:One in which a low-energy massless point-like projectile(say,a spin-1/2 or spin-0 electron)hits a static massive composite target particle carrying various spins(up to spin-2),and one where a slowly-moving light projectile hits a heavy static composite target.For the first type,the unpolarized cross sections in the laboratory frame are found to exhibit universal forms in the first two orders of 1/M expansion yet differ at the next-to-next-to-leading order(though some terms at this order still remain universal or depend on the target spin in a definite manner).For the second type,at the lowest order in electron velocity expansion,through all orders in 1/M,the unpolarized cross section is universal(also not sensitive to the projectile spin).The universality partially breaks down at relative order-v^(2)/M^(2),though some terms at this order are still universal or depend on the target spin in a specific manner.We also employ the effective field theory approach to reproduce the soft behavior of the differential cross sections for when the target particle is a composite spin-1/2 fermion.
