Microscopic K +-nucleus optical potential and calculations of differential elastic-scattering cross sections and total reaction cross sections

Lukyanov, V. K.; Zemlyanaya, E. V.; Lukyanov, K. V.; Hanna, K. M.

doi:10.1134/s1063778810080181

Cited by 12 publications

(7 citation statements)

References 24 publications

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“…When fitting these parameters, we started from those obtained in Ref. [14] for the pion scattering on the 16 O nucleus at a bombarding energy of 162 MeV and also on the 208 Pb target at 162, 180 and 291 MeV. In our case, when fitting parameters to the data for a larger set of nuclei 28 Si, 40 Ca, 58 Ni, 208 Pb in a wide range of energies 130 -291 MeV, we found out that for different target-nuclei but at the same energy of incident π mesons one can use the same set of 12 parameters.…”

Section: Results Of Calculationsmentioning

confidence: 99%

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Comparative analysis of the pion-nucleus scattering within the microscopic Folding and the local Kisslinger type potentials

et al. 2017

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Abstract. Elastic scattering cross sections are calculated and compared to the data of π ± + 28 Si and 40 Ca at energies 130, 180, and 230 MeV by using the both microscopic optical potentials (OP), the high-energy folding and the local Kisslinger type potentials. In the folding OP, we use the known nuclear density distributions while parameters of the elementary πN-scattering amplitude are fitted to the data with the aim to estimate the inmedium effect on pions scattered on bound nucleons. As to the local modified Kisslinger OP its parameters are known from the earlier studies. The cross sections for both OPs are calculated by solving the Klein-Gordon wave equation, and thus the relativistic and distortion effects on the process are accounted for exactly. A fairly well agreement with experimental data was obtained and the decisive role of a surface region of potentials was established where both OPs occur in close coincidence.

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Section: Results Of Calculationsmentioning

confidence: 99%

“…The differential cross sections are calculated as in [16] by solving the Klein-Gordon equation in its form at the conditions E ≫ U , where E = k 2 + m 2 π is the total pion energy. Then…”

Section: Basic Equationsmentioning

confidence: 99%

Comparative analysis of the pion-nucleus scattering within the microscopic Folding and the local Kisslinger type potentials

et al. 2017

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“…, where E is the total energy and M is the nucleon mass. The differential cross sections are calculated as in [16] by solving the Klein-Gordon equation in its form at the conditions E ≫ U , where…”

Section: Basic Equationsmentioning

confidence: 99%

Analysis of the pion-nucleus scattering within the folding and the Kisslinger type potentials

et al. 2021

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Elastic cross sections are calculated and compared with the data on π ± scattering on 28 Si, 40 Ca, 58 Ni, 208 Pb nuclei in the energy range from 130 to 290 MeV. To this end, both the folding optical potential (OP) and the local modified Kisslinger-type OP were calculated, and then the πA cross sections were obtained by solving the Klein-Gordon equation to account for the relativization and distortion wave effects. In the folding OPs, the parameters of the elementary πN amplitude were fitted when describing the πA scattering data, and thus the essential in-medium effect on the parameters of the πN amplitude was established since the pion is scattered not on a free but on a bound nuclear nucleon. Fairly good agreement with experimental data was obtained for both models of optical potentials and their forms turn out to be in coincidence in the region of their surfaces.

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“…Using this OP the differential cross sections are calculated by solving the relativistic wave equation in analogy to that made in [3] for the kaon-nucleus scattering with the help of the standard DWUCK4 computer code [4]:…”

Section: Pos(baldin Ishepp Xxi)021mentioning

confidence: 99%

Analysis of experimental data on the pion scattering on nuclei within the microscopic optical potential and in-medium effect on the pion-nucleon amplitude of scattering

Lukyanov¹

2013

Proceedings of XXI International Baldin Seminar on High Energy Physics Problems — PoS(Baldin ISHEPP XXI)

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Analysis is performed of calculations of the elastic scattering differential cross sections of pions on the 28 Si, 40 Ca, 58 Ni and 208 Pb nuclei at energies from 130 to 290 MeV basing on the microscopic optical potential (OP) constructed as an optical limit of a Glauber theory. Such an OP is defined by the corresponding target nucleus density distribution and by the pion-nucleon πN amplitude of scattering. The pion-nucleus cross sections are calculated by numerical solving the corresponding relativistic wave equation. The three (say, "in-medium") parameters of the πN amplitude, the total cross section, the ratio of real to imaginary part of the forward πN amplitude, and the slope parameter, were obtained by fitting the calculated cross sections to the respective experimental data. A difference is discussed between the best-fit "in-medium" parameters and the "free" parameters of the πN scattering amplitudes known from the experimental data on scattering of pions on free nucleons.

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Microscopic K +-nucleus optical potential and calculations of differential elastic-scattering cross sections and total reaction cross sections

Cited by 12 publications

References 24 publications

Comparative analysis of the pion-nucleus scattering within the microscopic Folding and the local Kisslinger type potentials

Comparative analysis of the pion-nucleus scattering within the microscopic Folding and the local Kisslinger type potentials

Analysis of the pion-nucleus scattering within the folding and the Kisslinger type potentials

Analysis of experimental data on the pion scattering on nuclei within the microscopic optical potential and in-medium effect on the pion-nucleon amplitude of scattering

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