A new calculation formula of the nuclear cross-section of therapeutic protons

We have previously developed for nuclear cross-sections of therapeutic protons a calculation model, which is founded on the collective model as well as a quantum mechanical many particle problem to derive the S matrix and transition probabilities. In this communication, we show that the resonances can be derived by shifted Gaussian functions, whereas the unspecific nuclear interaction compounds can be represented by an error function, which also provides the asymptotic behavior. The energy shifts can be interpreted in terms of necessary domains of energy to excite typical nuclear processes. Thus the necessary formulas referring to previous calculations of nuclear cross-sections will be represented in section 2. The mass number AN determines the strong interaction range. The threshold energy ETh of the energy barrier is determined by the condition Estrong = ECoulomb. A linear combination of Gaussians, which contain additional energy shifts, and an error function incorporate a possible representation of Fermi-Dirac statistics, which is applied here to nuclear excitations and reaction with release of secondary particles. The new calculation formula provides a better understanding of different types of resonances occurring in nuclear interactions with protons. The present study is mainly a continuation of previous papers.Comment: Preprin

Automated flaw detection method for X-ray images in nondestructive evaluation

Private, government and commercial sectors of the manufacturing world are plagued with imperfect materials, defective components, and aging assemblies that continuously infiltrate the products and services provided to the public. Increasing awareness of public safety and economic stability has caused the manufacturing world to search deeper for a solution to identify these mechanical weaknesses and thereby reduce their impact. The areas of digital image and signal processing have benefited greatly from the technological advances in computer hardware and software capabilities and the development of new processing methods resulting from extensive research in information theory, artificial intelligence, pattern recognition and related fields. These new processing methodologies and capabilities are laying a foundation of knowledge that empowers the industrial and academic community to boldly address this problem and begin designing and building better products and systems for tomorrow