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One‐Pion Exchange Model in the Vector Theory for the Reaction πN → πN. The Present Status. Connection with the Absorption
Author(s) -
Achasov N. N.,
Shestakov G. N.
Publication year - 1974
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19740220103
Subject(s) - pion , physics , diagram , absorption (acoustics) , hadron , connection (principal bundle) , particle physics , normalization (sociology) , form factor (electronics) , vector meson , momentum (technical analysis) , mathematical physics , quantum mechanics , mathematics , statistics , geometry , sociology , anthropology , acoustics , finance , economics
Abstract In the present paper it is shown that the Born diagram model with an overall phenomenological form factor suggested in papers [ 2, 3 ] on the basis of the ideas of universal interaction of Q ‐meson with hadrons describes well the experimental data on the reaction π − p → Q °n in a wide range of energies 2.7 GeV/ c ≦ QL ≦ 17 GeV/ c at small momentum transfers | t | ≦ 0.2 (GeV/ c ) 2 . The connection of the Born diagram model with the other high energy models is considered. On one hand, we show that the absorption account in many respects, though not literally, comes to forming an overall form factor. On the other hand, the normalization of amplitudes of the traditional absorptive one‐pion exchange models to the Born diagrams at t = 0 lays on the absorptive parameters the condition σ tot C /8 π A = 1 corresponding to the total absorption of the low partial waves. In this case the one‐pion exchange models with absorption coincide at all t with the Born diagram model with absorption and the reaction aplitudes are independent of a choice of the initial vector theory Lagrangian.