scholarly journals Improvement in a phenomenological formula for ground state binding energies

2016 ◽  
Vol 25 (08) ◽  
pp. 1650046
Author(s):  
G. Gangopadhyay
Keyword(s):  
Binding Energy ◽  
Ground State ◽  
Magic Number ◽  
Substantial Improvement ◽  
Binding Energies ◽  
Mean Square ◽  
Mean Square Deviation ◽  
Neutron Magic Number ◽  
Experimental Values ◽  
New Formula

The phenomenological formula for ground state binding energy derived earlier [G. Gangopadhyay, Int. J. Mod. Phys. E 20 (2011) 179] has been modified. The parameters have been obtained by fitting the latest available tabulation of experimental values. The major modifications include a new term for pairing and introduction of a new neutron magic number at N = 160. The new formula reduced the root mean square deviation to 363[Formula: see text]keV, a substantial improvement over the previous version of the formula.

scholarly journals A NEW PHENOMENOLOGICAL FORMULA FOR GROUND-STATE BINDING ENERGIES

2011 ◽  
Vol 20 (01) ◽  
pp. 179-190 ◽  
Author(s):  
G. GANGOPADHYAY
Keyword(s):  
Binding Energy ◽  
Single Particle ◽  
Ground State ◽  
Liquid Drop ◽  
Alpha Decay ◽  
Binding Energies ◽  
Present Calculation ◽  
Mean Square ◽  
Liquid Drop Model ◽  
The One

A phenomenological formula based on liquid drop model has been proposed for ground-state binding energies of nuclei. The effect due to bunching of single particle levels has been incorporated through a term resembling the one-body Hamiltonian. The effect of n–p interaction has been included through a function of valence nucleons. A total of 50 parameters has been used in the present calculation. The root mean square (r.m.s.) deviation for the binding energy values for 2140 nuclei comes out to be 0.376 MeV, and that for 1091 alpha decay energies is 0.284 MeV. The correspondence with the conventional liquid drop model is discussed.

scholarly journals A Phenomenological Model for Hypernuclear Binding Energies

1961 ◽  
Vol 14 (2) ◽  
pp. 313 ◽  
Author(s):  
JW Olley
Keyword(s):  
Simple Model ◽  
Binding Energy ◽  
Phenomenological Model ◽  
Ground State ◽  
Mass Number ◽  
State Energy ◽  
Binding Energies ◽  
Potential Well ◽  
Nucleon Interaction ◽  
Experimental Values

The form of the dependence of the binding energy of the A-particle in hypernuclei on the mass number .A is of interest in obtaining empirical information about the hyperon-nucleon interaction. As an introductory calculation we considered the simple model in which the total A-nucleon interaction is replaced by a potential well V(r) in which the A moves and in which the only �effect of varying .A is to vary the radius but not the depth of the well. The binding energy of the A, B A' is then given by the ground state energy of a particle in this well. The aim of our calculations was to determine whether the present experimental values of B A defined a unique well sbape.

The binding energies of atomic nuclei III. Nuclear forces and the ground state of oxygen 16

1959 ◽  
Vol 253 (1273) ◽  
pp. 186-198 ◽  
Keyword(s):  
Binding Energy ◽  
Electron Scattering ◽  
Ground State ◽  
Binding Energies ◽  
Wave Functions ◽  
Unperturbed System ◽  
Core Radius ◽  
Nuclear Forces ◽  
Potential Core ◽  
Atomic Nuclei

The r. m. s. radius and the binding energy of oxygen 16 are calculated for several different internueleon potentials. These potentials all fit the low-energy data for two nucleons, they have hard cores of differing radii, and they include the Gammel-Thaler potential (core radius 0·4 fermi). The calculated r. m. s. radii range from 1·5 f for a potential with core radius 0·2 f to 2·0 f for a core radius 0·6 f. The value obtained from electron scattering experiments is 2·65 f. The calculated binding energies range from 256 MeV for a core radius 0·2 f to 118 MeV for core 0·5 f. The experimental value of binding energy is 127·3 MeV. The 25% discrepancy in the calculated r. m. s. radius may be due to the limitations of harmonic oscillator wave functions used in the unperturbed system.

The binding energies of the hydrogen isotopes

1938 ◽  
Vol 34 (3) ◽  
pp. 365-374 ◽  
Author(s):  
A. H. Wilson
Keyword(s):  
Wave Equation ◽  
Binding Energy ◽  
Potential Energy ◽  
Ground State ◽  
Hydrogen Isotope ◽  
Hydrogen Isotopes ◽  
Binding Energies ◽  
Variation Method

The wave equation for the deuteron in its ground state is solved on the assumption that the mutual potential energy of a neutron and a proton is of the form r−1e−λr. The binding energy of the hydrogen isotope H3 is calculated approximately by the variation method.

Non-relativistic s-wave binding energies of Λ-particle in hypernuclei

2016 ◽  
Vol 31 (14) ◽  
pp. 1650084 ◽  
Author(s):  
A. Armat ◽  
H. Hassanabadi
Keyword(s):  
Experimental Data ◽  
Binding Energy ◽  
Analytical Solution ◽  
Schrödinger Equation ◽  
Ground State ◽  
Schrodinger Equation ◽  
Binding Energies ◽  
S Wave ◽  
Ground State Binding Energy ◽  
Type Interaction

In this work, the ground state binding energy of [Formula: see text]-particle in hypernuclei is investigated by using analytical solution of non-relativistic Schrödinger equation in the presence of a generalized Woods–Saxon-type interaction. The comparison with the experimental data is motivating.

SHELL MODEL CALCULATIONS OF 3T, 5He AND 6Li NUCLEI

2002 ◽  
Vol 11 (01) ◽  
pp. 67-70
Author(s):  
NAZIH EL-NOHY
Keyword(s):  
Binding Energy ◽  
Shell Model ◽  
Root Mean Square ◽  
Long Range ◽  
Ground State ◽  
Radial Dependence ◽  
Spin Orbit ◽  
Mean Square ◽  
Model Calculations ◽  
Short Range Repulsion

The bases of the translation invariant shell model are used to construct the ground-state wave functions of 3 T , 5 He and 6 Li . For 3 T the bases used correspond to the number of quanta of excitation N up to ten. For 5 He and 6 Li the bases used correspond to the number of quanta of excitation N up to six. The model is applied to calculate the binding energy and the root mean square radius for 3 T , 5 He and 6 Li nuclei. The residual interactions used consist of central, tensor, spin-orbit and quadratic spin-orbit terms with Gaussian radial dependence. The parameters of these interactions are chosen in such away that they represent the long range attraction and the short range repulsion of nucleon interactions. It was found that this potential is more suitable for calculating the characteristics of these nuclei, and better than other potentials, such as our previous potentials which were represented by the parameters of long range attraction forces only. For 3T we obtained good agreement between calculated and experimental values of both the ground state binding energy and the root mean square radius. For 5 He and 6 Li nuclei we obtained an acceptable improvement with these calculations over other potentials.

PRESSURE EFFECT ON THE INTERFACE EXCITONS IN A TYPE-II ZnTe/CdSe HETEROJUNCTION

2003 ◽  
Vol 17 (27n28) ◽  
pp. 1425-1435 ◽  
Author(s):  
Z. Z. GUO ◽  
X. X. LIANG ◽  
S. L. BAN
Keyword(s):  
Binding Energy ◽  
Ground State ◽  
Pressure Effect ◽  
Light Hole ◽  
Binding Energies ◽  
Wave Functions ◽  
Type Ii ◽  
Band Bending ◽  
Effective Masses ◽  
Transfer Method

A variational method is used to study the ground-state binding energies of interface light-hole excitons in ZnTe/CdSe type-II heterojunctions under the influence of hydrostatic pressure. The finite triangle potential well approximation is introduced considering the band bending near the interface. The asymptotic transfer method is adopted to obtain the sub-band energies and wave functions of the electrons and light holes. The pressure influence on the band offsets, the effective masses and the dielectric constant are considered in the calculation. The obvious pressure-induced increase of the exciton binding energy is demonstrated and the influences of the pressure-depended parameters on the binding energy are compared.

Study of Urban Storm Intensity

2014 ◽  
Vol 539 ◽  
pp. 752-756
Author(s):  
Chao Zhang ◽  
Bo Fu Li ◽  
Zong De Wang ◽  
Jian Yong Zou ◽  
Ying He Jiang
Keyword(s):  
Comparative Analysis ◽  
Optimization Method ◽  
Least Square ◽  
Mean Square ◽  
Mean Square Deviation ◽  
Annual Maximum ◽  
Storm Intensity ◽  
Maximum Value ◽  
New Formula ◽  
Urban Storm

All the rainfall data from 1983 to 2012 in HScity were collected andthe annual maximum value method was adopted to select the samples. Parameters of storm intensity formula of single return period were calculated through the optimization method and the least square methodfor itP tables.Then, the storm intensityformula was established. Through the comparative analysis of the precision of both the new formula and old one,the result indicated that the absolute mean square deviation and relative mean square deviation of new formula were less than 0.05mm/min and 5%,while old formula cannot meet the requirement ofoutdoor wastewater engineering design.

Binding energy of the Wannier exciton – ionized donor complex in the CdS crystal

1979 ◽  
Vol 57 (12) ◽  
pp. 2126-2131 ◽  
Author(s):  
Piotr Petelenz ◽  
Vedene H. Smith Jr.
Keyword(s):  
Dielectric Constant ◽  
Binding Energy ◽  
Low Temperature ◽  
Binding Energies ◽  
Electron Hole ◽  
Material Constants ◽  
The Absolute ◽  
Experimental Values ◽  
Hole Interaction ◽  
Better Than

The binding energy of the Wannier exciton – ionized donor complex in the CdS crystal is calculated for several sets of material constants proposed in the literature, with special emphasis on the correct low-temperature value of the dielectric constant. The electron–hole interaction is approximated alternatively by the potentials derived by Pollmann and Büttner, and by Aldrich and Bajaj. The best agreement with experimental values is found for the Aldrich–Bajaj potential, in accordance with previous results. The agreement is satisfactory even in the absolute values of the binding energies, and notably better than obtained previously.

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