Third - order Coulomb corrections to the S - wave Green function , energy levels and wave functions at the origin

نویسندگان

  • M. Beneke
  • Y. Kiyo
  • K. Schuller
چکیده

We obtain analytic expressions for the third-order corrections due to the strong interaction Coulomb potential to the S-wave Green function, energy levels and wave functions at the origin for arbitrary principal quantum number n. Together with the known non-Coulomb correction this results in the complete spectrum of S-states up to order α 5 s. The numerical impact of these corrections on the Upsilon spectrum and the top quark pair production cross section near threshold is estimated.

برای دانلود رایگان 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

Coulomb corrections in quasi-elastic scattering based on the eikonal expansion for electron wave functions

An eikonal expansion is developed in order to provide systematic corrections to the eikonal approximation through order 1/k, where k is the wave number. The expansion is applied to wave functions for the Klein-Gordon equation and for the Dirac equation with a Coulomb potential. Convergence is rapid at energies above about 250 MeV. Analytical results for the eikonal wave functions are obtained f...

متن کامل

Third-order non-Coulomb correction to the S-wave quarkonium wave functions at the origin

We compute the third-order correction to the S-wave quarkonium wave functions |ψn(0)| 2 at the origin from non-Coulomb potentials in the effective non-relativistic Lagrangian. Together with previous results on the Coulomb correction and the ultrasoft correction computed in a companion paper, this completes the thirdorder calculation up to a few unknown matching coefficients. Numerical estimates...

متن کامل

اتصال جوزفسون بین ابررساناهای دمای بالا با ضریب عبور اختیاری

In this paper, a dc Josephson junction between two singlet superconductors (d-wave and s-wave) with arbitrary reflection coefficient has been investigated theoretically. For the case of high Tc superconductors, the c-axes are parallel to an interface with finite transparency and their ab-planes have a mis-orientation. The physics of potential barrier will be demonstrated by a transparency coeff...

متن کامل

Calculation of the total cross section for the ionization of H, He, Ne and Ar atoms by bare ions at the high energy range

In the present work, the total cross-section for the ionization of  H, He, Ne and Ar atoms by +He2+ ، H+ ، Li3 ions has been calculated. In these calculations, a binary encounter approximation in the form of a two-body process between projectile ions and atomic electrons at the high energy range has been implemented. In order to enter the nuclear role of the target atom, the atomic electron vel...

متن کامل

بررسی فرایند انتقال بار در برخورد یون با اتم‌های چند الکترونی با استفاده از تقریب آیکونال در فرمول‌بندی برینکمن- کرامرز

In the present work, the scattering differential cross section has been investigated for ion-multi electron atoms collision in the charge transfer channel. For this purpose, an active electron model was implemented and the collision process was considered as a three-body impact in the high energy range. A semi-classical formalism was used with the eikonal distorted wave function to describe the...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005