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probability of surviving through at least time t. mean lifetime = 1/. For any free particle ( separation of space-time components ). Such an expression CANNOT describe an unstable particle. since. Instead mathematically introduce the exponential factor:. then.
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probability of surviving through at least time t mean lifetime = 1/ For any free particle(separation of space-time components) Such an expression CANNOT describe an unstable particle since Instead mathematically introduce the exponential factor:
then a decaying probability of surviving Note: G=ħ Also notice:effectively introduces an imaginary part to E
Applying a Fourier transform: What’s this represent? E distribution of the unstable state still complex!
Expect some constant Breit-Wigner Resonance Curve
1.0 MAX 0.5 = FWHM E Eo When SPIN of the resonant state is included:
Transmission 130-eV neutron resonances scattering from 59Co -ray yield for neutron radiative capture
+p elastic scattering cross-section in the region of the Δ++ resonance. The central mass is 1232 MeV with a width =120 MeV
Cross-section for the reaction e+e- anything near the Z0resonance plotted against cms energy
Cross section for the reaction B10 + N14* versus energy. The resonances indicate levels in the compound nucleus N14*. [Talbott and Heydenburg, Physical Review, 90, 186 (1953).]
Spectrum of protons scattered from Na14indicating its energy levels. [Bockelman et al., Physical Review, 92, 665 (1953).]
Resonances observed in the radiative proton capture by 23Na. [P.W.m. Glaudemans and P.M. Endt, Nucl. Phys. 30, 30 (1962).]