Study of extensive air showers at Mount Norikura. IV. Lateral distribution of muons for types of EAS

1968 ◽  
Vol 46 (10) ◽  
pp. S107-S109 ◽  
Author(s):  
S. Miyake ◽  
K. Hinotani ◽  
N. Ito ◽  
S. Kino ◽  
H. Sasaki ◽  
...  
Keyword(s):  
Distribution Function ◽  
Density Distribution ◽  
Size Dependence ◽  
Size Range ◽  
Average Density ◽  
Clear Correlation ◽  
Density Distribution Function ◽  
Air Showers ◽  
Fixed Distance ◽  
Lateral Density Distribution

Muons accompanied by EAS have been observed by a neon hodoscope array 6 m2 in area placed 36 m from the center of the EAS array. The lateral density distribution function of muons and an average density at fixed distance are studied with respect to the size and age parameter of EAS. The EAS are in a size range of 106 to 107, and the muon density at distances of 15–55 m from the axis of EAS has been observed for muons which penetrate 20 cm of lead.Preliminary results obtained in this experiment are as follows: (1) The lateral density distribution of muons shows clear correlation with that of electrons: assuming the distribution function to be a power function of the distance from the axis, the exponent varies from steeper than −1.5 to flatter than −1.0 for younger and older EAS respectively. (2) The size dependence of muon density can be expressed as [Formula: see text], and is independent of the age parameter of EAS.

scholarly journals Isogeometric topology optimization for continuum structures using density distribution function

2019 ◽  
Vol 119 (10) ◽  
pp. 991-1017 ◽  
Author(s):  
Jie Gao ◽  
Liang Gao ◽  
Zhen Luo ◽  
Peigen Li
Keyword(s):  
Distribution Function ◽  
Topology Optimization ◽  
Density Distribution ◽  
Density Distribution Function ◽  
Continuum Structures

scholarly journals Calculation of Radial Density Distribution Function for main orbital of Carbon atom and Carbon like ions

2014 ◽  
Vol 11 (4) ◽  
pp. 1455-1458
Author(s):  
Baghdad Science Journal
Keyword(s):  
Distribution Function ◽  
Carbon Atom ◽  
Density Distribution ◽  
Computer Software ◽  
Negative Ion ◽  
Radial Density ◽  
Density Distribution Function ◽  
Hartree Fock ◽  
Radial Density Distribution ◽  
Nitrogen Ion

Radial density distribution function of one particle D(r1) was calculated for main orbital of carbon atom and carbon like ions (N+ and B- ) by using the Partitioning technique .The results presented for K and L shells for the Carbon atom and negative ion of Boron and positive ion for nitrogen ion . We observed that as atomic number increases the probability of existence of electrons near the nucleus increases and the maximum of the location r1 decreases. In this research the Hartree-fock wavefunctions have been computed using Mathcad computer software .

Online Credibilistic Fuzzy Clustering Method Based on Cauchy Density Distribution Function

2021 ◽  
Author(s):  
Alina Shafronenko ◽  
Yevgeniy Bodyanskiy ◽  
Irina Pliss ◽  
Klymova Irina
Keyword(s):  
Distribution Function ◽  
Density Distribution ◽  
Fuzzy Clustering ◽  
Clustering Method ◽  
Density Distribution Function ◽  
Fuzzy Clustering Method

Estimation of the Barrier to Rotation of Benzene in the (η6-C6H6)2Cr Crystal via Topological Analysis of the Electron Density Distribution Function

2006 ◽  
Vol 110 (20) ◽  
pp. 6545-6551 ◽  
Author(s):  
Konstantin A. Lyssenko ◽  
Alexander A. Korlyukov ◽  
Denis G. Golovanov ◽  
Sergey Yu. Ketkov ◽  
Mikhail Yu. Antipin
Keyword(s):  
Distribution Function ◽  
Density Distribution ◽  
Electron Density ◽  
Electron Density Distribution ◽  
Topological Analysis ◽  
Density Distribution Function ◽  
Electron Density Distribution Function

GENERAL ANALYTIC DENSITY DISTRIBUTION FUNCTION FOR ATOMS

2000 ◽  
Vol 11 (06) ◽  
pp. 1167-1177
Author(s):  
ŞAKIR ERKOÇ
Keyword(s):  
Distribution Function ◽  
Analytic Function ◽  
Density Distribution ◽  
Charge Density ◽  
Spin Density ◽  
Radial Distribution ◽  
Density Functional ◽  
Density Functional Method ◽  
Functional Method ◽  
Density Distribution Function

A general analytic function is proposed to represent the radial distribution of charge density for atoms. The proposed function fits perfectly to the radial charge density generated numerically by local spin density functional method for atoms from He to Kr.

Study of extensive air showers at Mount Norikura. I. Measurement of lateral structure

1968 ◽  
Vol 46 (10) ◽  
pp. S17-S20 ◽  
Author(s):  
S. Miyake ◽  
K. Hinotani ◽  
N. Ito ◽  
S. Kino ◽  
H. Sasaki ◽  
...  
Keyword(s):  
Density Distribution ◽  
Charged Particles ◽  
High Energy ◽  
Extensive Air Showers ◽  
Two Dimensional ◽  
Air Showers ◽  
Complicated Structure ◽  
Unit Distance ◽  
Lateral Density Distribution ◽  
Lateral Structure

The lateral density distribution of charged particles in EAS is one of the essential parameters for the analysis of individual EAS. To measure the lateral density distribution in detail, 100 ¼-m2 scintillators were arranged in a lattice configuration with a unit distance of 5 m or 2.5 m. The conventional EAS array of 20 scintillators was also used to obtain densities up to about 100 m from the center. These observations are much more accurate than those obtained previously, and it has been found that there are various types of structure functions which can be approximated by the functions for single cascades of age parameter from 0.6 to 1.6. It was difficult in some instances to fit the lateral distribution by a unique function, especially for small EAS.The two-dimensional map obtained by means of the above 100 detectors shows that individual EAS have rarely a complicated structure within a range of about 20 m from the axis. The results are discussed in relation to the character of high-energy interactions as well as to fluctuations in the development of EAS.

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