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Title: Allowance for the shell structure of the {sub 42}{sup 100}Mo and {sub 46}{sup 110}Pd nuclei in the synthesis of {sub 84}{sup 200}Po, {sub 88}{sup 210}Ra, and {sub 92}{sup 220}U

Abstract

The effect of the shell structure of colliding nuclei in calculating the entrance channel on the ensuing evolution of the product system is investigated. The entrance channel is calculated under the assumption of the nose-to-nose orientation of colliding nuclei. The following three reactions involving nuclei that are deformed in the ground state are considered: {sub 42}{sup 100}Mo + {sub 42}{sup 100}Mo {yields} {sub 84}{sup 100}Po, {sub 42}{sup 100}Mo + {sub 46}{sup 100}Pd {yields} {sub 88}{sup 210}Ra, and {sub 46}{sup 110}Pd + {sub 46}{sup 110}Pd {yields} {sub 92}{sup 220}U. The state of the system at the point of touching is determined by the results obtained by calculating the entrance reaction channel. The shape of the system is specified by three collective coordinates (deformation parameters). The evolution of collective coordinates of the system is described in terms of Langevin equations. The potential energy of the system of colliding nuclei is calculated with allowance for their shell structure. It is shown that allowance for individual features of interacting nuclei in the entrance channel of the fusion-fission reactions makes it possible to obtain, for the reactions being considered, cross sections for evaporation-residue formation that are closer to available experimental data than their liquid-drop counterparts.

Authors:
 [1];  [2];  [3];  [1]
  1. Joint Institute for Nuclear Research, Laboratory of Theoretical Physics (Russian Federation)
  2. Omsk State University (Russian Federation)
  3. National Academy of Sciences of Ukraine, Institute of Nuclear Research (Ukraine)
Publication Date:
OSTI Identifier:
22043805
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 75; Journal Issue: 1; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CROSS SECTIONS; EVAPORATION MODEL; FISSION; GROUND STATES; LANGEVIN EQUATION; LIQUID DROP MODEL; MOLYBDENUM 100 REACTIONS; MOLYBDENUM 100 TARGET; NUCLEAR STRUCTURE; PALLADIUM 100; PALLADIUM 110 REACTIONS; PALLADIUM 110 TARGET; POLONIUM 200; POTENTIAL ENERGY; SHELL MODELS; URANIUM 220

Citation Formats

Litnevsky, V. L., E-mail: vlad.lit@bk.ru, Kosenko, G. I., E-mail: kosenko@phys.omsu.omskreg.ru, Ivanyuk, F. A., E-mail: ivanyuk@voliacable.com, and Pashkevich, V. V., E-mail: pashkevi@theor.jinr.ru. Allowance for the shell structure of the {sub 42}{sup 100}Mo and {sub 46}{sup 110}Pd nuclei in the synthesis of {sub 84}{sup 200}Po, {sub 88}{sup 210}Ra, and {sub 92}{sup 220}U. United States: N. p., 2012. Web. doi:10.1134/S1063778812010115.
Litnevsky, V. L., E-mail: vlad.lit@bk.ru, Kosenko, G. I., E-mail: kosenko@phys.omsu.omskreg.ru, Ivanyuk, F. A., E-mail: ivanyuk@voliacable.com, & Pashkevich, V. V., E-mail: pashkevi@theor.jinr.ru. Allowance for the shell structure of the {sub 42}{sup 100}Mo and {sub 46}{sup 110}Pd nuclei in the synthesis of {sub 84}{sup 200}Po, {sub 88}{sup 210}Ra, and {sub 92}{sup 220}U. United States. https://doi.org/10.1134/S1063778812010115
Litnevsky, V. L., E-mail: vlad.lit@bk.ru, Kosenko, G. I., E-mail: kosenko@phys.omsu.omskreg.ru, Ivanyuk, F. A., E-mail: ivanyuk@voliacable.com, and Pashkevich, V. V., E-mail: pashkevi@theor.jinr.ru. 2012. "Allowance for the shell structure of the {sub 42}{sup 100}Mo and {sub 46}{sup 110}Pd nuclei in the synthesis of {sub 84}{sup 200}Po, {sub 88}{sup 210}Ra, and {sub 92}{sup 220}U". United States. https://doi.org/10.1134/S1063778812010115.
@article{osti_22043805,
title = {Allowance for the shell structure of the {sub 42}{sup 100}Mo and {sub 46}{sup 110}Pd nuclei in the synthesis of {sub 84}{sup 200}Po, {sub 88}{sup 210}Ra, and {sub 92}{sup 220}U},
author = {Litnevsky, V. L., E-mail: vlad.lit@bk.ru and Kosenko, G. I., E-mail: kosenko@phys.omsu.omskreg.ru and Ivanyuk, F. A., E-mail: ivanyuk@voliacable.com and Pashkevich, V. V., E-mail: pashkevi@theor.jinr.ru},
abstractNote = {The effect of the shell structure of colliding nuclei in calculating the entrance channel on the ensuing evolution of the product system is investigated. The entrance channel is calculated under the assumption of the nose-to-nose orientation of colliding nuclei. The following three reactions involving nuclei that are deformed in the ground state are considered: {sub 42}{sup 100}Mo + {sub 42}{sup 100}Mo {yields} {sub 84}{sup 100}Po, {sub 42}{sup 100}Mo + {sub 46}{sup 100}Pd {yields} {sub 88}{sup 210}Ra, and {sub 46}{sup 110}Pd + {sub 46}{sup 110}Pd {yields} {sub 92}{sup 220}U. The state of the system at the point of touching is determined by the results obtained by calculating the entrance reaction channel. The shape of the system is specified by three collective coordinates (deformation parameters). The evolution of collective coordinates of the system is described in terms of Langevin equations. The potential energy of the system of colliding nuclei is calculated with allowance for their shell structure. It is shown that allowance for individual features of interacting nuclei in the entrance channel of the fusion-fission reactions makes it possible to obtain, for the reactions being considered, cross sections for evaporation-residue formation that are closer to available experimental data than their liquid-drop counterparts.},
doi = {10.1134/S1063778812010115},
url = {https://www.osti.gov/biblio/22043805}, journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 1,
volume = 75,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2012},
month = {Sun Jan 15 00:00:00 EST 2012}
}