Pion-nucleus total cross-sections
In this work we present a method for analytically calculating the total cross section of π— nucleus scattering. The momentum space approach is used. An optical potential is obtained using the Kerman-McManus-Thaler(KMT) multiple scattering formalism. Lippmann-Schwinger equation in momentum space i...
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| Language: | English |
| Published: |
2009
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| Online Access: | http://hdl.handle.net/2429/8065 |
| Summary: | In this work we present a method for analytically calculating the total cross section
of π— nucleus scattering. The momentum space approach is used. An optical
potential is obtained using the Kerman-McManus-Thaler(KMT) multiple scattering formalism.
Lippmann-Schwinger equation in momentum space is solved by a numerical
method. This formalism includes the spin flip term and fermi motion averaging with
3-body kinematics. The calculation results of our code are in excellent agreement with
the experimental data of π⁻¹²C scattering in the energy region 80 MeV ~ 280 MeV.
Compared to other similar methods, our results better reproduce the π⁻¹²C resonance
peak. It predicts the correct energy of the resonance peak, and gives scattering amplitudes
which agree with the experimental data within 1%. |
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