Multidimensional Bin-Width Optimization for Histogram and Its Application to Four-Dimensional Neutron Inelastic Scattering Data

2019 ◽  
Vol 88 (4) ◽  
pp. 044002 ◽  
Author(s):  
Kensuke Muto ◽  
Hirotaka Sakamoto ◽  
Keisuke Matsuura ◽  
Taka-hisa Arima ◽  
Masato Okada
2019 ◽  
Vol 7 ◽  
pp. 209
Author(s):  
P. Demetriou ◽  
A. Marcinkowski ◽  
P. E. Hodgson

We show that pre-equlibrium inelastic scattering reactions to the continuum contain substantial collective components in addition to the multistep direct and multistep compound reactions. These collective reactions are investigated for the vibrational nuclei 56Fe, 58Ni, 90Zr, 93Nb, 208Pb and 209Bi , and the strongly-deformed, rotational W nucleus. The collective cross-sections are calculated using the experimental data for low-lying collective excitations supplemented where necessary by the giant multipole resonances evaluated using the energy-weight ed sum rule. The MSC and MSD cross-sections are evaluated by the Feshbach-Kerman-Koonin theory using a consistent set of parameters determined by analyses of (p, xn) reactions, that have practically no collective components. The results are compared with high-resolution neutron inelastic scattering data and prove able to account for the absolute magnitude of the cross-sections and also their detailed structure.


1985 ◽  
Vol 18 (6) ◽  
pp. 493-498 ◽  
Author(s):  
P. W. Mitchell ◽  
M. T. Dove

One problem in the analysis of triple-axis neutron inelastic scattering data is the large numerical computations involved in applying full resolution corrections, which in one extreme involves an often-repeated four-dimensional numerical integral. A program called SHAMGAR has been written for an ICL Distributed Array Processor that will both calculate the full convolution of a model scattering function with the resolution function and allow refinement of the model simultaneously to many sets of experimental data by a non-linear least-squares fit. Sample results and performance figures are given.


1978 ◽  
Vol 17 (3) ◽  
pp. 1156-1160 ◽  
Author(s):  
Ravinder Bansal ◽  
P. K. Banerjee ◽  
Narinder K. Ailawadi

1982 ◽  
Vol 117 (5) ◽  
pp. 349-352 ◽  
Author(s):  
N.G. Fadeev ◽  
I.A. Savin ◽  
V.V. Sanadze ◽  
N.B. Skachkov

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Daniele Paolo Anderle ◽  
Tie-Jiun Hou ◽  
Hongxi Xing ◽  
Mengshi Yan ◽  
C.-P. Yuan ◽  
...  

Abstract Understanding how sea quarks behave inside a nucleon is one of the most important physics goals of the proposed Electron-Ion Collider in China (EicC), which is designed to have a 3.5 GeV polarized electron beam (80% polarization) colliding with a 20 GeV polarized proton beam (70% polarization) at instantaneous luminosity of 2 × 1033cm−2s−1. A specific topic at EicC is to understand the polarization of individual quarks inside a longitudinally polarized nucleon. The potential of various future EicC data, including the inclusive and semi-inclusive deep inelastic scattering data from both doubly polarized electron-proton and electron-3He collisions, to reduce the uncertainties of parton helicity distributions is explored at the next-to-leading order in QCD, using the Error PDF Updating Method Package (ePump) which is based on the Hessian profiling method. We show that the semi-inclusive data are well able to provide good separation between flavour distributions, and to constrain their uncertainties in the x > 0.005 region, especially when electron-3He collisions, acting as effective electron-neutron collisions, are taken into account. To enable this study, we have generated a Hessian representation of the DSSV14 set of PDF replicas, named DSSV14H PDFs.


1997 ◽  
Vol 66 (7) ◽  
pp. 1884-1887 ◽  
Author(s):  
Noriaki Sato ◽  
Naofumi Aso ◽  
Gerry H. Lander ◽  
Bertrand Roessli ◽  
Takemi Komatsubara ◽  
...  

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