scholarly journals The mean square radius of the neutron distribution and the skin thickness derived from electron scattering

2020 ◽  
Author(s):  
Haruki Kurasawa ◽  
Toshimi Suda ◽  
Toshio Suzuki
Keyword(s):  
Electron Scattering ◽  
Least Squares Method ◽  
Mean Field ◽  
Order Moment ◽  
Skin Thickness ◽  
Strongly Correlated ◽  
Mean Square ◽  
The Mean ◽  
Experimental Values ◽  
Straight Lines

Abstract The second-order moment of the nuclear charge density(R2c)is dominated by the mean square radius(msr) of the point proton distribution(Rp2), while the fourth-order moment(Q4c) depends on the msr of the point neutron one(R2n) also. Moreover, R2n is strongly correlated to R2c in nuclear models. According to these facts, the linear relationship between various moments in the nuclear mean field models are investigated with use of the least squares method for 40Ca, 48Ca and 208Pb. From the intersection points of the obtained straight lines with those of the experimental values for R2c and Q4c determined through electron scattering, the values of Rp and Rn are estimated. Since relativistic and non-relativistic models provide different lines, the obtained values of Rn and the skin thickness(Rn-Rp) differ from each other in the two frameworks.

scholarly journals The nth-order moment of the nuclear charge density and contribution from the neutrons

2019 ◽  
Vol 2019 (11) ◽  
Author(s):  
Haruki Kurasawa ◽  
Toshio Suzuki
Keyword(s):  
Charge Density ◽  
Electron Scattering ◽  
Nuclear Charge ◽  
Order Moment ◽  
Proton Density ◽  
Neutron Density ◽  
Mean Square ◽  
Relativistic Expression ◽  
The Mean ◽  
The Difference

Abstract The relativistic expression for the $n$th-order moment of the nuclear charge density is presented. For the mean square radius (msr) of the nuclear charge density, the non-relativistic expression, which is equivalent to the relativistic one, is also derived consistently up to $1/M^2$ with use of the Foldy–Wouthuysen transformation. The difference between the relativistic and non-relativistic expressions for the msr of the point proton density is also discussed. The $n(\ge 4)$th-order moment of the nuclear charge density depends on the point neutron density. The fourth-order moment yields useful information on the msr of the point neutron density, and is expected to play an important role in electron scattering off neutron-rich nuclei.

scholarly journals The Model of Localization Precision for Detection of Hidden Transmitters

2020 ◽  
Vol 9 (4) ◽  
pp. 2114-2119
Keyword(s):  
Mean Square Error ◽  
Main Parameter ◽  
Least Squares Method ◽  
A Priori ◽  
Office Building ◽  
Mean Square ◽  
Manual Search ◽  
Receiving Antenna ◽  
Localization Precision ◽  
The Mean

The article deals with the problem of remote search for hidden transmitters in a large office. Such a search should be performed inconspicuously for office visitors so that an attacker could not turn off the transmitter during the search. The complexity of the inconspicuous manual search for bugs is shown and the necessity of using a remote automated search for illegal transmitters is substantiated. The decision on the use of remote search can be made on the basis of a priori knowledge of the localization precision of a hidden transmitter. To calculate the precision of localization, a mathematical model is proposed on the basis of measuring the distances from the receiving antennas to the alleged hidden transmitter. The range and the precision of the distance from the transmitter to the receiving antenna can be calculated by knowing the attenuation of the signal during its propagation under certain conditions. The more heterogeneous the wave propagation environment, the greater the error in determining the range. The localization precision of the hidden transmitter is calculated using the Least Squares Method. The main parameter of localization precision is the Mean Square Error of its location. It is shown that the values of the Mean Square Error of localization depend both on the precision of the range measurement and on the position of the receiving antennas relative to the transmitter. The capabilities of the developed model for determining the required number of receiving antennas at a given localization precision are also shown. The simulation of a multi-storey office building was carried out and the parameters of localization precision were estimated for a different number of receiving antennas. The possibility of increasing the precision of localization with an increase in the number of antennas has been confirmed. The article concludes that it is advisable to use such a model when building scanners to search for illegal bugs and transmitters.

scholarly journals ITINERANT AND LOCALIZED STATES IN STRONGLY CORRELATED SYSTEMS BY A MODIFIED MEAN-FIELD SLAVE-BOSON APPROACH

2001 ◽  
Vol 15 (05) ◽  
pp. 479-490 ◽  
Author(s):  
EMMANUELE CAPPELLUTI
Keyword(s):  
Hubbard Model ◽  
Mean Field ◽  
Field Approximation ◽  
Localized States ◽  
Mean Field Approximation ◽  
Strongly Correlated ◽  
Correlated Systems ◽  
The Mean ◽  
Hubbard Operators ◽  
Natural Way

The standard mean field slave-boson solution for the infinite-U Hubbard model is revised. A slightly modified version is proposed which includes properly the incoherent contribution of the localized states. In contrast to the standard mean field result, this new proposed solution defines a unique spectral function to be used in the calculation of local and not local quantities, and satisfies the correct thermodynamic relations. The same approach is applied also to the mean field approximation in terms of Hubbard operators. As a byproduct of this analysis, Luttinger's theorem is shown to be fulfilled in a natural way.

The Research of Glucose Solution Based on Photoacoustic Measurement

2012 ◽  
Vol 239-240 ◽  
pp. 27-31 ◽  
Author(s):  
Deng Ji Zhao ◽  
Guo Dong Liu ◽  
Zhong Ren ◽  
Lv Ming Zeng
Keyword(s):  
Blood Glucose ◽  
Glucose Concentration ◽  
Measurement Method ◽  
Least Squares Method ◽  
Glucose Solution ◽  
Invasive Monitoring ◽  
Mean Square ◽  
Non Invasive ◽  
The Mean ◽  
Photoacoustic Measurement

Based on the principle of photoacoustic,blood glucose can be non-invasive monitoring of in the NIR region.The system irradiates to the glucose solution by opo laser,then the signals are received by photoacoustic probe and processed by the oscilloscope, finally imported into the computer.By the least squares method,the data repeatedly fits to make the mean square error of the glucose concentration less than 5mg/dl.The experimental results show that:photoacoustic measurement method can achieve a certain precision, with the value of further research.

scholarly journals Influence of surface effects on neutron skin in atomic nuclei

2020 ◽  
Vol 21 (3) ◽  
pp. 223-230
Author(s):  
S.V. Lukyanov ◽  
◽  
A.I. Sanzhur
Keyword(s):  
Surface Layer ◽  
Variational Method ◽  
Neutron Skin ◽  
Mean Square ◽  
Finite Nucleus ◽  
Atomic Nuclei ◽  
Diffuse Surface ◽  
The Mean ◽  
Direct Variational Method ◽  
Experimental Values

The influence of the diffuse surface layer of a finite nucleus on the mean square radii and their isotopic shift is investigated. We present the calculations within the Gibbs - Tolman approach using the experimental values of the nucleon separation energies. Results are compared with that obtained by means of a direct variational method based on Fermi-like trial functions.

scholarly journals QUANTUM FLUCTUATIONS ON THE GUTZWILLER APPROXIMATION OF THE HUBBARD MODEL

1988 ◽  
Vol 02 (05) ◽  
pp. 607-612 ◽  
Author(s):  
M. LAVAGNA
Keyword(s):  
Hubbard Model ◽  
Resonant State ◽  
Mean Field ◽  
Quantum Fluctuations ◽  
Strongly Correlated ◽  
New Approach ◽  
Kondo Problem ◽  
Gutzwiller Approximation ◽  
The Mean ◽  
Complete Analogy

Many experimental results seem to relate the superconducting oxides to the phenomenon of Mott localization in strongly correlated systems. We will give a brief review of the different theories developed until then to treat the Mott localization in the Hubbard model: variational Ansatz of Gutzwiller or RVB Ansatz, leading to fundamentally different ground states. In this context, we propose a new approach which consists to take account of the quantum fluctuations around the mean-field solution provided by the Gutzwiller approximation. We show how to understand the ground state in terms of a resonance (split by the Mott gap in the almost-localized regime) in complete analogy with the Abrikosov-Suhl resonance of the Kondo problem — heavy fermions. Superconductivity appears as induced by the constrained intersite correlations developed by quantum fluctuations around this resonant state.

The Bordeaux Automatic Meridian Circle

1978 ◽  
Vol 48 ◽  
pp. 227-228
Author(s):  
Y. Requième
Keyword(s):  
Mean Square Error ◽  
Mean Square ◽  
Meridian Circle ◽  
The Mean ◽  
Full Automation

In spite of important delays in the initial planning, the full automation of the Bordeaux meridian circle is progressing well and will be ready for regular observations by the middle of the next year. It is expected that the mean square error for one observation will be about ±0.”10 in the two coordinates for declinations up to 87°.

The Concurrent Validity of the Minnesota Child Development Inventory as a Measure of Young Children's Language Development

1989 ◽  
Vol 54 (1) ◽  
pp. 101-105 ◽  
Author(s):  
J. Bruce Tomblin ◽  
Cynthia M. Shonrock ◽  
James C. Hardy
Keyword(s):  
Child Development ◽  
Language Development ◽  
Expressive Language ◽  
Strong Predictor ◽  
Receptive Language ◽  
Strongly Correlated ◽  
Language Measure ◽  
The Mean ◽  
Child Development Inventory ◽  
Mean Length Of Utterance

The extent to which the Minnesota Child Development Inventory (MCDI), could be used to estimate levels of language development in 2-year-old children was examined. Fifty-seven children between 23 and 28 months were given the Sequenced Inventory of Communication Development (SICD), and at the same time a parent completed the MCDI. In addition the mean length of utterance (MLU) was obtained for each child from a spontaneous speech sample. The MCDI Expressive Language scale was found to be a strong predictor of both the SICD Expressive scale and MLU. The MCDI Comprehension-Conceptual scale, presumably a receptive language measure, was moderately correlated with the SICD Receptive scale; however, it was also strongly correlated with the expressive measures. These results demonstrated that the Expressive Language scale of the MCDI was a valid predictor of expressive language for 2-year-old children. The MCDI Comprehension-Conceptual scale appeared to assess both receptive and expressive language, thus complicating its interpretation.

The mean-square generalized delayed decision feedback sequence detector

2003 ◽  
Vol 14 (3) ◽  
pp. 265-268 ◽  
Author(s):  
Maurizio Magarini ◽  
Arnaldo Spalvieri ◽  
Guido Tartara
Keyword(s):  
Decision Feedback ◽  
Mean Square ◽  
The Mean
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