An approximation method for solution of the coupled channelsinverse scattering problem at xed energy

نویسندگان

  • K. Amos
  • W. Scheid
چکیده

We present a method for the quantum mechanical inverse scattering problem at xed energy for coupled channels in reactions with particles having internal degrees of freedom. The scattered particles can be excited by a local interaction between the relative motion and the internal dynamics which can be expanded in multipoles. The inverse scattering problem is solved by an extension of the modiied Newton-Sabatier method, assuming a special ansatz for the integral kernel in the radial wave function. Application has been made for a hypothetical scattering of two nuclei interacting by a dipole-type interaction. Good agreement between the obtained potentials and the input data is found.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

COUPLED FIXED POINT THEOREMS FOR RATIONAL TYPE CONTRACTIONS VIA C-CLASS FUNCTIONS

In this paper, by using C-class functions, we will present a coupled …xed problem in b-metric space for the single-valued operators satisfying a generalized contraction condition. First part of the paper is related to some …xed point theorems, the second part presents the uniqueness and existence for the solution of the coupled …xed point problem and in the third part we...

متن کامل

Solution of a Coupled Channel Inverse Scattering Problem at Fixed Energy by a Modified Newton-Sabatier Method.

The modiied Newton-Sabatier method is extended to the inverse scattering problem of coupled channels at xed energy. The problem is solved for a system of coupled radial Schrr odinger equations with a potential matrix independent of the angular momentum of the relative motion. The new method is applied to the example of two channels coupled by complex-valued square well potentials. 1 Introductio...

متن کامل

AN ADAPTIVE WAVELET SOLUTION TO GENERALIZED STOKES PROBLEM

In this paper we will present an adaptive wavelet scheme to solvethe generalized Stokes problem. Using divergence free wavelets, theproblem is transformed into an equivalent matrix vector system, thatleads to a positive definite system of reduced size for thevelocity. This system is solved iteratively, where the applicationof the infinite stiffness matrix, that is sufficiently compressible,is r...

متن کامل

N‎umerical ‎q‎uasilinearization scheme ‎for the integral equation form of the Blasius equation

‎The ‎method ‎of ‎quasilinearization ‎is ‎an ‎effective ‎tool ‎to ‎solve nonlinear ‎equations ‎when ‎some ‎conditions‎ on ‎the ‎nonlinear term ‎of ‎the ‎problem ‎are ‎satisfi‎‎ed. ‎W‎hen ‎the ‎conditions ‎hold, ‎applying ‎this ‎techniqu‎e ‎gives ‎two ‎sequences of ‎coupled ‎linear ‎equations‎ and ‎the ‎solutions ‎of ‎th‎ese ‎linear ‎equations ‎are quadratically ‎convergent ‎to ‎the ‎solution ‎o...

متن کامل

Theory of block-pulse functions in numerical solution of Fredholm integral equations of the second ‎kind‎

Recently, the block-pulse functions (BPFs) are used in solving electromagnetic scattering problem, which are modeled as linear Fredholm integral equations (FIEs) of the second kind. But the theoretical aspect of this method has not fully investigated yet. In this article, in addition to presenting a new approach for solving FIE of the second kind, the theory of both methods is investigated as a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007