Low energy sum rules for pi - pi scattering and threshold parameters.

نویسندگان

  • Ananthanarayan
  • Toublan
  • Wanders
چکیده

We derive a set of sum rules for threshold parameters of pion-pion scattering whose dispersion integrals are rapidly convergent and are dominated by Sand P-waves absorptive parts. Stringent constraints on some threshold parameters are obtained. PACS Nos.: 13.75.Lb, 11.55.Hx, 11.10.Cd, 25.80.Dj. Work Supported by the Swiss National Science Foundation Address from October 1, 1995: Institut für Theoretische Physik, Universität Bern, CH 3012, Bern, Switzerland

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

The Pion-Nucleon Coupling Constant in QCD Sum Rules

The pion-nucleon coupling constant gπN is studied on the basis of the QCD sum rules. Both the Borel sum rules and the finite energy sum rules for gπN are used to examine the effects of higher dimensional operators (up to dim. 7) and αs corrections in the operator product expansion. Agreement with the experimental number is reached only when Sπ/SN is greater than one, where Sπ (SN ) is the conti...

متن کامل

Pion–pion scattering at low energy

We present technical details of the evaluation of the elastic ππ scattering amplitude to two loops in chiral perturbation theory. In particular, we elaborate on the renormalization procedure at the two–loop order and on the evaluation of the relevant Feynman diagrams that can all be expressed in terms of elementary functions. For the sake of clarity, we discuss these matters both in the N–compo...

متن کامل

Threshold Pion Production at Large Momentum Transfers

We consider threshold pion electroproduction on a proton target for photon virtualities in the region 1 − 10 GeV. The S-wave multipoles at threshold, E0+ and L0+, are calculated using light-cone sum rules.

متن کامل

Optimal intelligent control for glucose regulation

This paper introduces a novel control methodology based on fuzzy controller for a glucose-insulin regulatory system of type I diabetes patient. First, in order to incorporate knowledge about patient treatment, a fuzzy logic controller is employed for regulating the gains of the basis Proportional-Integral (PI) as a self-tuning controller. Then, to overcome the key drawback of fuzzy logic contro...

متن کامل

Comparison of Topological Indices Based on Iterated ‘Sum’ versus ‘Product’ Operations

The Padmakar-Ivan (PI) index is a first-generation topological index (TI) based on sums over all edges between numbers of edges closer to one endpoint and numbers of edges closer to the other endpoint. Edges at equal distances from the two endpoints are ignored. An analogous definition is valid for the Wiener index W, with the difference that sums are replaced by products. A few other TIs are d...

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:
  • Physical review. D, Particles and fields

دوره 53 5  شماره 

صفحات  -

تاریخ انتشار 1996