Algebraic basics for high spin elastic scattering
Keywords:
elastic scattering, spin channel, probability amplitude, cross section, partial waveAbstract
The analytics was implemented for the scattering processes with channel spin structure 1/2, 3/2 and 5/2. For the first time the parameterization of differential cross sections by orbital momentums l = 0, 1, 2, … for the quartet and quintet spin channels has been performed. The presentation is given in a universe form and may be applied for the phase shift analyses for the scattering of nuclei or elementary particles. Same amplitudes are used in the construction of the polarization characteristics as vector and tensor polarization. The following isotopes are in field of interests: 7B(3/2-), 9B(3/2-), 11B(3/2-), 12B(1+), 13B(3/2-), 5Li(3/2-), 6Li(1-), 7Li(3/2-), 9Li(3/2-), 10Li (1-), 9C(3/2-), 11C(3/2-) and protons, neutrons, deuterons as impact particles.References
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3 Lane A.M., Thomas R.G. R–Matrix Theory of Nuclear Reactions // Reviews of Modern Physics. – 1958. – Vol. 30. – P. 257–353.
4 Ohlsen G.G. Polarization transfer and spin correlation experiments in nuclear physics // Rep. Prog. Phys. – 1972. – Vol 35. – P. 717–801.
5 Brown L., Stainer E., Arnold L.G. and Seyler R.G. Polarization and phase shifts in 7Li(p,p)7Li from 0.4 to 0.25 MeV and the structure of 8Be // Nucl. Phys. – 1973. – Vol. A206. – P. 353– 373.
6 Seyler R.G. Polarization from scattering polarized spin–1/2 on unpolarized spin–1 particles // Nucl. Phys. – 1969. – Vol. A124. – P. 253–272.
7 Nemec O.F., Jasnogorodskij A.M. Poljarizacionnye issledovanija v jadernoj fizike. – Kiev: Naukova Dumka. – 1980. – P. 347.
8 Kolybasov V.M. Obshhie svojstva matricy rassejanija i poljarizacionnye jeffekty v prjamyh reakcijah. – M.: MIFI. – 1971. – P. 129.
9 Davydov A.S. Teorija atomnogo jadra. – M.: Fizmatgiz. – 1958. – P. 612.
10 Sitenko A.G. Teorija jadernyh reakcij. – M: Jenergoatomizdat. – 1983. – P. 352.
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13 Varshalovich D.A., Moskalev A.N., Hersonskij V.K. Kvantovaja teorija uglovogo momenta. – L.: Nauka. – 1975. – P. 439.
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Published
2016-10-10
How to Cite
Burkova, N., & Tkachenko, A. (2016). Algebraic basics for high spin elastic scattering. International Journal of Mathematics and Physics, 7(1). Retrieved from https://ijmph.kaznu.kz/index.php/kaznu/article/view/174
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Nuclear Physics and Nanotechnology
