Understanding how protons and neutrons self-organize to form atomic nuclei requires solving the nuclear many-body Schr\"odinger equation. This work addresses this nontrivial task through a neural network quantum states ansatz that involves additional ``hidden'' degrees of freedom improve accuracy solution systemically. Light medium-mass nuclei's energy spatial density distributions are in excel...

The problem of expanding a density operator p in forms that simplify the evaluation of important classes of quantum-mechanical expectation values is studied. The weight function P(n) of the P representation, the Wigner distribution W(o), and the function (n ~ p ~o), where ~n) is a coherent state, are discussed from a unified point of view. Each of these quasiprobability distributions is examine...

The analysis of observed structure factors estimated after Rietveld analysis by the maximum-entropy method (MEM) gives electron or nuclear densities in the unit cell. The resultant densities are, more or less, biased toward a structural model in the Rietveld analysis. To overcome such a problem, we devised a sophisticated technique named MEM-based pattern fitting (MPF). For this purpose, a patt...

We present a semiclassical approach, the partial fi resummation method, to calculate nuclear ground state properties in a selfconsistent way starting from an effective nucleon-nucleon interaction. This method is shown to be easily generalized tu describe excited nuclear systems. Selfconsistent semiclassical densities can be further used as an optimal starting point for the calculation of nuclea...

J. C. Pei,1 F. R. Xu,1,2,3,∗ and P. D. Stevenson4 1School of Physics, Peking University, Beijing 100871, China 2Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China 3Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000, China 4Department of Physics, University of Surrey, Guildford GU2 7XH, United Kingdom (Received 8 N...

The success of genomic selection mainly depends on the extent of linkage disequilibrium (LD) between markers and quantitative trait loci (QTL), number of QTL and heritability (h2) of the traits. The extent of LD depends on the genetic structure of the population and marker density. This study was conducted to determine the effects of marker density, level of heritability, number of QTL, and to ...