ar X iv : h ep - p h / 03 02 08 5 v 2 1 7 Fe b 20 03 The universal ln 2 s increase in total cross sections

نویسنده

  • Bruce H. J. McKellar
چکیده

While it has long been known that many models of high energy scattering give cross sections which rise as ln s, the determination of the coefficient of this term is rarely given. We show that in gaussian and exponential eikonal models an exact expression for the cross section can be obtained, which demonstrates the ln s asyptoptic behaviour and determines its coefficient. The coefficient is universal, as found empirically, and the value of the constant obtained from the gaussian model is in good agreement with the empirical value.

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

ar X iv : h ep - p h / 03 02 08 5 v 1 1 2 Fe b 20 03 The universal ln 2 s increase in total cross sections

While it has long been known that many models of high energy scattering give cross sections which rise as ln s, the determination of the coefficient of this term is rarely given. We show that in gaussian and exponential eikonal models an exact expression for the cross section can be obtained, which demonstrates the ln s asyptoptic behaviour and determines its coefficient. The coefficient is uni...

متن کامل

ar X iv : h ep - p h / 02 06 21 4 v 1 2 1 Ju n 20 02 Heisenberg ’ s universal ln 2 s increase of total cross sections

The ln 2 s behaviour of total cross sections, first obtained by Heisenberg 50 years ago, receives now increased interest both on phenomenological and theoretical levels. In this paper we present a modification of the Heisenberg's model in connection with the presence of glueballs and we show that it leads to a realistic description of all existing hadron total cross-sections data.

متن کامل

ar X iv : h ep - p h / 02 06 21 4 v 2 1 6 Se p 20 02 Heisenberg ’ s universal ln 2 s increase of total cross sections

The ln 2 s behaviour of total cross sections, first obtained by Heisenberg 50 years ago, receives now increased interest both on phenomenological and theoretical levels. In this paper we present a modification of the Heisenberg's model in connection with the presence of glueballs and we show that it leads to a realistic description of all existing hadron total cross-sections data.

متن کامل

ar X iv : h ep - p h / 03 02 18 5 v 1 2 0 Fe b 20 03 Nonlinear corrections to the DGLAP equations ; looking for the saturation limits ∗

The effects of the first nonlinear corrections to the DGLAP equations are studied in light of the HERA data. Saturation limits are determined in the DGLAP+GLRMQ approach for the free proton and for the Pb nucleus.

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 2003