Parity mixing of elastic scattering resonances: General theory and application to N 14

1984; American Institute of Physics; Volume: 30; Issue: 2 Linguagem: Inglês

10.1103/physrevc.30.456

ISSN

1538-4497

Autores

E. G. Adelberger, Pervez Hoodbhoy, B. A. Brown,

Tópico(s)

Advanced NMR Techniques and Applications

Resumo

We consider the elastic scattering of nucleons from spin \textonehalf{} targets via parity-mixed resonances and derive expressions for the longitudinal parity nonconserving analyzing power. We neglect any direct parity nonconserving processes---the parity nonconservation being assumed to be due solely to the resonances. We then consider a particularly interesting example---the scattering of protons by $^{13}\mathrm{C}$ over ${0}^{+}$ and ${0}^{\ensuremath{-}}$ $I=1$ resonances. We show that in this case longitudinal analyzing power measurements yield, with little theoretical uncertainty, the parity nonconserving matrix element between the ${0}^{+}$ and ${0}^{\ensuremath{-}}$ levels. The large width of the ${0}^{\ensuremath{-}}(2{s}_{\frac{1}{2}})$ resonance compared to that of the ${0}^{+}(1{p}_{\frac{1}{2}})$ resonance produces a significant enhancement of the predicted effect. Because of the large size of elastic scattering cross sections a longitudinal analyzing power experiment can achieve small statistical errors. The $^{14}\mathrm{N}$ resonances are especially interesting because the mixing is essentially pure $\ensuremath{\Delta}I=0$.

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