Consistent Empirical Physical Formula Construction for Gamma Ray Angular Distribution Coefficients by Layered Feedforward Neural Network
Journal Title: Cumhuriyet Science journal - Year 2018, Vol 39, Issue 4
Abstract
Multipolarities of gamma rays and spins-parities of nuclear states are usually investigated by the angular distribution of gamma rays emitted from aligned states formed by nuclear reactions. For different multipolarities of the transitions, the distribution shows different characteristics. The distribution is obtained by using angular distribution formula which has literature tabulated coefficients for different spins and multipolarities. However, these coefficients involve -fold tensor products and they are highly nonlinear in nature. Furthermore, as the calculation of these coefficients implicitly involves highly complicated integral quantities, they are very difficult to handle explicitly for larger values. In this respect, as we theoretically proved in a previous paper, universal nonlinear function approximator layered feedforward neural network (LFNN) can be applied to construct consistent empirical physical formulas (EPFs) for nonlinear physical phenomena. In this paper, by concentrating on the integer spins of nuclear states and dipole and quadrupole type multipolarities of the transitions, we consistently estimated the coefficients by constructing suitable LFNNs. The LFNN-EPFs fitted the literature coefficient data very well. Moreover, magnificent LFNN test set forecastings over previously unseen data confirmed the consistent LFNN-EPFs for the determination of coefficients. In this sense, we can conclude that the LFNN consistently infers nonlinear physical laws governing the angular distribution of gamma rays, which are otherwise difficult to obtain by conventional coefficient calculation methods.
Authors and Affiliations
Nihat YILDIZ, Serkan AKKOYUN, Hüseyin KAYA
Altitude Triggers Some Biochemical Adaptations of Polygonum cognatum Meissn. Plants
Madimak is a local name of Polygonum cognatum which is known as a nutrient- and phenolic-rich edible plant in Turkish traditional cuisine. Knotweed (madimak) is usually found in both agricultural and non-agricultural are...
AES Encryption and A Cryptosystem Obtained with Soft Set II
In this paper, a new cryptographic algorithm was created with the soft sets, symmetric groups, soft matrices representing soft sets, and AES. In 1999, by Molodtsov proposed soft set theory as a new mathematical tool to d...
Contamination Measurements of Patient’s Lead-Insulated Rooms After I-131 and LU-177 PSMA Treatment via Sweeping Test
I-131 and Lu-177 PSMA radionuclides have been widely used in the field of nuclear medicine to treat thyroid cancer for many years. In this treatment, the patients whose dose rate measurements are less than 3 mR/h are gen...
Comparison of Spectral Classification Methods in Water Quality
Today, water quality and water pollution can be detected using remote sensing and its terrestrial components. Remote sensing does not only provide a quick solution to detect water quality and pollution, but it could also...
New Composite, Poly(Hydroxyethylmethacrylate-Expanded Perlite), for Single step Separation of Egg White Lysozyme
In this study, we investigated adsorption behaviour of lysozyme on poly(hydroxyethylmethacrylate-expanded perlite) [P(Hema-Ep)]. For this purpose, we synthesized P(Hema-Ep) composite by bulk polymerization and it was cha...