scholarly journals COMPARISON BETWEEN THE RELATIVISTIC AND NON-RELATIVISTIC TREATMENT OF THE Λ-HYPERNUCLEI

2020 ◽  
Vol 2 ◽  
pp. 382
Author(s):  
C. G. Koutroulos

Using as an example potentials of the form U±(r)=-D±(cosh^2(r/R))^-1 the binding energies as well as the root mean square radii of the orbits of the Λ particle in hypernuclei in the ground and excited states were calculated in the relativistic and non-relativistic cases and the results are compared.

2021 ◽  
Author(s):  
Dušan Dimić ◽  
◽  
Dejan Milenković ◽  
Edina Avdović ◽  
Goran Kaluđerović ◽  
...  

Novel biologically active compounds can be obtained by the structural modification of coumarins. In this contribution, five new derivatives of 4-hydroxycoumarin with tyramine, octopamine, norepinephrine, 3-methoxytyramine, and dopamine were obtained. Their structures were optimized based on the previously obtained crystal structure of the 4-hydroxycoumarin-dopamine derivative. The special emphasis was put on the effect of various substituents on the structure of obtained compounds and intramolecular interactions governing the stability. To investigate their possible antitumor activity, molecular docking and molecular dynamics simulations were performed with Carbonic anhydrase, a prognostic factor in several cancers, and compared to the native ligand, 5-acetamido-1,3,4-thiadiazole- 2-sulfonamide. The results have shown that all of the coumarin-neurotransmitter derivatives bind to the active pocket of protein with the binding energies higher than for the native ligand. The main contributions to the binding energies were discussed. The Root Mean Square Deviation (RMSD), Root Mean Square Fluctuation (RMSF), and Radius of gyration (Rg), as results of MD simulations, were used to predict the activity of compounds towards chosen protein. The highest MD binding energies were obtained for the derivatives with dopamine and 3-methoxytyramine, with the van der Waals interaction and hydrogen bonds being the most important contributors.


2020 ◽  
Vol 35 (14) ◽  
pp. 2050109
Author(s):  
P. Sadeghi Alavijeh ◽  
N. Tazimi ◽  
M. Monemzadeh

In this paper, we study four-quark states as di-hadronic molecular states. For this purpose, we apply the Nikiforov–Uvarov method to solve the Schrödinger equation in the presence of the Woods–Saxon plus Coulomb-type potential and we obtain the binding energies and masses of heavy di-mesons. We calculate the root mean square (r.m.s) radius and the wave function for some observed tetraquarks.


2014 ◽  
Vol 29 (39) ◽  
pp. 1450208 ◽  
Author(s):  
Ozan Artun ◽  
Çağlar Aytekin ◽  
Hüseyin Aytekin

In this study, we have calculated the basic nuclear properties such as binding energies, root mean square (rms) charge radii, and neutron and proton densities of the even–even natural 92–100 Mo isotopes. Investigations were performed using the Hartree–Fock–Bogoliubov (HFB) method with different Skyrme-like forces. Separation energies, which have an important role in nuclear structure, of neutron, proton, deuteron, triton, helium-3 and alpha were also investigated with TALYS 1.4 code. The calculated results were discussed and compared with experimental results.


2021 ◽  
Vol 74 (2) ◽  
pp. 13-18
Author(s):  
О. Bayakhmetov ◽  
◽  
S. Sakhiyev ◽  
V. Pomerantsev ◽  
◽  
...  

This scientific work is the study of the structure of light nuclei 6He and 6Be in the framework of the three-cluster α+2n-model. The calculation methods have been based on the variational solution of the stationary Schrödinger equation for the relative motion of three clusters in 6He and 6Be nuclei, respectively. The realistic Reid potential has been chosen as the nucleon-nucleon interaction potential, and the potential with even-odd wave splitting has been used for the interaction of the alpha-particle and nucleons. Realistic wave functions of the relative motion of the alpha particle and nucleons in these nuclei and low-lying energy levels have been calculated. The static observables of the 0+ ground state of 6He and 6Be nuclei, in particular, the root-mean-square charge and material radii and binding energies, have been determined. The obtained values of the root-mean-square charge and material radii of the 6He nucleus confirm the hypothesis of the presence of a neutron halo structure of this nucleus.


2019 ◽  
Vol 3 ◽  
pp. 20
Author(s):  
C. G. Koutroulos ◽  
G. J. Papadopoulos

The root mean square radii of the Λ-particle orbits in hypernuclei are calculated in the ground and first excited states using the Dirac equation with scalar and vector potentials of orthogonal shape. An exact analytic and also approximate expressions are derived for the root mean square ra-' dius of the Λ orbit in its ground state. It is shown that <r >  2 1/2 1/3 ' varies linearly with A ' for the higer mass hypers 1/2 ^ nuclei, Our results in the ground state are compared with the results of Rayet and also with those of Daskaloyannis et. al.


2004 ◽  
Vol 13 (01) ◽  
pp. 75-78 ◽  
Author(s):  
BOŻENA NERLO-POMORSKA ◽  
JOANNA SYKUT

Subtracting the Strutinsky shell corrections from the selfconsistent energies obtained within the Relativistic Mean Field Theory (RMFT) we have got estimates for the macroscopic part of the binding energies of 142 spherical even-even nuclei. By minimizing their root-mean-square deviations from the values obtained with the Lublin-Srasbourg Drop (LSD) model with respect to the nine RMFT parameters we have found the optimal set (NL4). The new parameters reproduce also the radii of these nuclei with an accuracy comparable to that obtained with the NL1 and NL3 sets.


2016 ◽  
Vol 26 (1) ◽  
pp. 58
Author(s):  
Qiurong XIE ◽  
Zheng JIANG ◽  
Qinglu LUO ◽  
Jie LIANG ◽  
Xiaoling WANG ◽  
...  

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