Effects of the exact Pauli exclusion operator on (p,p') reactions

Astronomy and Astrophysics – Astrophysics

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Scientific paper

The matrix elements from a nuclear matter G-matrix calculation that removes the angle-average approximation from the treatment of the Pauli exclusion operator are now available.(F. Sammarruca et al.), Phys. Rev. C 62, 014614 (2000). The new elements where Jneq J' or \vertl -l '\vert >2 are small. The largest new effects depend on M, the projection quantum number of J, for those matrix elements that are allowed in free NN scattering. We introduce a formalism in which the new features of the exact treatment appear as angle-dependent amplitudes in an expansion of the effective interaction in a complete set of spin operators. To the extent that these operators are already part of available DWIA programs, we can present calculations of (p,p') reactions where we compare the effects of the exact and angle-averaged treatments of the Pauli operator. The largest changes to (p,p') observables are seen when we allow the vector P, the sum of the incident and struck nucleon momenta, to deviate from the beam direction and examine transitions such as 0^+→ 0^- that are known to be particularly sensitive to finite-range exchange.

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