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Upper bounds on the elastic differential cross section

✍ Scribed by Virendra Singh; S.M. Roy

Publisher: Elsevier Science
Year: 1970
Tongue: English
Weight: 761 KB
Volume: 57
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(70)90361-1

No coin nor oath required. For personal study only.

✦ Synopsis

We derive improved axiomatic upper bounds on the elastic unpolarized differential cross section, do/do, at high energies for the scattering of particles with arbitrary spin. We prove that da x ,5m s {CL + 1)VdCOS e)]" + sin28[Pr'(cos @]z}, with I. = fr 1/x In @/ueL), where s and t are, respectively, the squares of the c.m. energy and the c.m. momentum transfer; B is the cm. scattering angle. Further Y'& is the mass of the lowest mass state that couples to the crossed t-channel (being equal to twice the pion mass for in and nN scattering). This result has the following important consequences:

(i) for forward scattering, (ii) for fixed 0 # 0, n, and (iii) for fixed negative I, We also give an upper bound on differential cross section involving the dieaction peak width but not having an explicit In s dependence.

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