Triton Electric Form Factor at Low-Energies

Making use of the Effective Field Theory(EFT) expansion recently developed by the authors, we compute the charge form factor of triton up to next-to-next-to-leading order (N$^2$LO). The three-nucleon forces(3NF) is required for renormalization of the three-nucleon system and it effects are predicted for process and is qualitatively supported by available experimental data. We also show that, by including higher order corrections, the calculated charge form factor and charge radius of $^3$H are in satisfactory agreement with the experimental data and the realistic Argonne $v_{18}$ two-nucleon and Urbana IX potential models calculations. This method makes possible a high precision few-body calculations in nuclear physics. Our result converges order by order in low energy expansion and also cut-off independent.Comment: 9 pages, 5 figures and 1 tabl

Langevin diffusion in holographic backgrounds with hyperscaling violation

In this note we consider a relativistic heavy quark which moves in the quark-gluon plasmas. By using the holographic methods, we analyze the Langevin diffusion process of this relativistic heavy quark. This heavy quark is described by a trailing string attached to a flavor brane and moving at constant velocity. The fluctuations of this string are related to the thermal correlators and the correlation functions are precisely the kinds of objects that we compute in the gravity dual picture. We obtain the action of the trailing string in hyperscaling violation backgrounds and we then find the equations of motion. These equations lead us to construct the Langevin correlator which helps us to obtain the Langevin constants. Using the Langevin correlators we derive the densities spectral and simple analytic expressions in the small and large frequency limits. We examine our works for planar and $R$-charged black holes with hyperscaling violation and find new constraints on $\theta$ in the presence of velocity $v$

Modular transformations of admissible N = 2 and Affine sl(2|1;C) characters

This thesis is a study of the affine super-algebra sl(2|l; C) and N = 2 superconformal algebra at fractional levels. In the first chapter we review background material on Conformal Field Theory, and how it appears in the context of string theory and the Wess - Zumino – Novikov - Witten model. We also discuss integrable and admissible representations of infinite dimensional algebras and their modular transformations. In Chapter 2 we elaborate some more on modular transformations and we derive them in the case of non - unitary minimal N = 2 characters. Some very explicit formulas are presented. In Chapter 3 we discuss character formulas for the affine sl(2|l;C) algebra and some of their general properties are given, in particular their behaviour under spectral flow. In Chapter 4 we turn to the study of sumrules for sl(2|l;C) at level k. These involve the product of sl(2) characters at level k, k', and 1 with {k + l){k' + !) = 1. We consider k + 1 = for = 1, p e Z*, u eN and show that the sumruleswe have obtained agree with the literature when the parameter p is restricted to p = 1. We use the integral form of the sumrules to study the modular properties of sl(2|l) characters at fractional level in the last section of Chapter 4.The advisor for this work has been Dr. Anne Taormina

Insar Technique to Allocate Land Subsidence in Karaj and Tehran (Shehriar, Waraminand Djadjroud) Areas

Aquifer and hydro system compaction is a worldwide phenomenon, where there is a sudden sinking or gradual downward settling of the earth\u27s surface with little or no horizontal motion. This phenomenon is noticed to take place in many countries, among which is Iran. Water well casing and installations in areas such as Hamedan , Kerman, Meshhed, Tehran and others seem to rise into the air, or some times to produce fissures in the sediments and/or showing sinkhole in carbonated rocks. Soil compaction and / or land subsidence could cause damages to surface and subsurface urban installations. UNISCO was interesting in this worldwide phenomenon and tried to study it in different countries by work group using GPS, SAR and InSAR techniques that uses radar satellite image. Iran in cooperation with other countries was interesting to see the extension and reasons for Tehran\u27s subaburbs land subsidence by using the new InSAR techniques. The later studies indicated the existence of subsidence areas in north west, south - south west and south east of Tehran with an average soil sink of about 15 cm This subsidence is mostly in a flat area with no special activities except for agriculture and a heavily water well production. Therefore, it is concluded that this sediment compaction is due to depletion of aquifer (i.e. water level drop), which causes aquifer compaction