摘要:

AbstractThe asymptotic behaviour of partial wave amplitudes is calculated supposing various Regge models for the total scattering amplitudeA(s,t,u). The high energy partial wave behaviour obtained is combined with the validity of partial wave dispersion relations. It is shown that consistency of these assumptions can only be achieved by demanding.1) a definite asymptotic behaviour of the discontinuity of the left hand cut of partial wave amplitudes.2) the validity of partial wave sum rules of similar kind as the well‐known finite energy sum rules for the total amplitude.All steps of the derivation shall first be demonstrated for elastic scattering of identical scalar particles. Then within the helicity formalism the results are generalized for particles with arbitrary spin and different masses. Finally the question is studied whether the sum rules can be employed to determine unknown CDD‐pole parameters in anN/Dapproach for theI = J= 1/2 state in πNscattering. It is shown that the sum rules of highest order are able to do

ISSN:0015-8208    

DOI:10.1002/prop.19760240902

出版商:WILEY‐VCH Verlag    

年代:1976

数据来源: WILEY

摘要:

AbstractAn exploratory study of weak neutrino‐lepton annihilation into hadrons, v̄l+ l → hadrons is presented. Simple cross‐section estimates indicate processes of this type may be observable in a large bubble chamber. We discuss the information one could hope to obtain from such experiments. General formulas for amplitudes and cross sections are given for v̄l+ l → hadrons assuming a point‐likeV–Ainteraction. To establish tests of theV–Ainteraction, we recalculate the annihilation amplitudes assuming a point‐like scalar‐pseudoscalar or tensor‐pseudotensor interaction. The extension to theories with intermediate vector bosons is sketched. We discuss the connection between v̄l+ l → hadrons and e+e−→ hadrons implied by the conserved vector current hypothesis. We note that in v̄l+ l → rH, K⋆(890),A1,Bcreation (these reactions enjoy comparatively large cross sections) the leptonic as well as hadronic couplings of theseJ=1,I= 1/2 or 1 mesons could be determined. A related possibility is the direct creation of new heavy chargedJ= 1 mesons. The normalJ= 1 resonance region could be explored with neutrino energies of the order 500–2000 GeV. For this, and for higher‐energy work, a TeV pr

ISSN:0015-8208    

DOI:10.1002/prop.19760240903

出版商:WILEY‐VCH Verlag    

年代:1976

数据来源: WILEY

ISSN:0015-8208    

DOI:10.1002/prop.19760240901

出版商:WILEY‐VCH Verlag    

年代:1976

数据来源: WILEY