The Experts below are selected from a list of 174 Experts worldwide ranked by ideXlab platform
Abdulla Abdulsalam - One of the best experts on this subject based on the ideXlab platform.
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the rates of charmonium dissociation and recombination in heavy ion collisions at snn 5 02 tev using Bateman Equation
Nuclear Physics, 2021Co-Authors: Abdulla AbdulsalamAbstract:Abstract The charmonium states with their different binding energies and radii dissolve at different temperatures of the medium produced in relativistic heavy-ion collisions. Relative yields of charmonium and thus their survival have potential to map the properties of Quark Gluon Plasma. In this study, we estimate the combined effect of color screening, gluon-induced dissociation and recombination on charmonium production in heavy-ion collisions (Pb+Pb ions) at center of mass energy ( s NN ) = 5.02 TeV. The rate Equations of dissociation and recombination are solved separately with a 2-dimensional accelerated expansion of fireball volume. To solve the recombination rate Equation, we have used an approach of Bateman solution which ensures the dissociation of the recombined charmonium in the QGP medium. The modifications of charmonium states are estimated in an expanding QGP with the conditions relevant for Pb+Pb collisions at LHC.
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The rates of charmonium dissociation and recombination in heavy-ion collisions at sNN=5.02 TeV using Bateman Equation
Nuclear Physics A, 2021Co-Authors: Abdulla AbdulsalamAbstract:Abstract The charmonium states with their different binding energies and radii dissolve at different temperatures of the medium produced in relativistic heavy-ion collisions. Relative yields of charmonium and thus their survival have potential to map the properties of Quark Gluon Plasma. In this study, we estimate the combined effect of color screening, gluon-induced dissociation and recombination on charmonium production in heavy-ion collisions (Pb+Pb ions) at center of mass energy ( s NN ) = 5.02 TeV. The rate Equations of dissociation and recombination are solved separately with a 2-dimensional accelerated expansion of fireball volume. To solve the recombination rate Equation, we have used an approach of Bateman solution which ensures the dissociation of the recombined charmonium in the QGP medium. The modifications of charmonium states are estimated in an expanding QGP with the conditions relevant for Pb+Pb collisions at LHC.
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calculating the rates of charmonium dissociation and recombination reactions in heavy ion collisions using Bateman Equation
arXiv: High Energy Physics - Phenomenology, 2020Co-Authors: Abdulla AbdulsalamAbstract:The charmonium states with their different binding energies and radii dissolve at different temperatures of the medium produced in relativistic heavy-ion collisions. Relative yields of charmonium and thus their survival have potential to map the properties of Quark Gluon Plasma. In this study, we estimate the combined effect of color screening, gluon-induced dissociation and recombination on charmonium production in heavy-ion collisions (Pb+Pb ions) at centre of mass energy ($\sqrt{s_{\rm NN}}$) = 5.02 TeV. The rate Equations of dissociation and recombination are solved separately with a 2-dimensional accelerated expansion of fireball volume. To solve the recombination rate Equation, we have used an approach of Bateman solution which ensures the dissociation of the recombined charmonium in the QGP medium. The modifications of charmonium states are estimated in an expanding QGP with the conditions relevant for Pb+Pb collisions at LHC.
D. B. Fairlie - One of the best experts on this subject based on the ideXlab platform.
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Institute for High Energy Physics, 142284 Protvino,
2008Co-Authors: D. B. Fairlie, A. N. LeznovAbstract:The general solution to the Complex Bateman Equation is constructed. It is given in implicit form in terms of a functional relationship for the unknown function. The known solution of the usual Bateman Equation is recovered as a special case
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The Multi-field Complex Bateman Equation
Letters in Mathematical Physics, 2002Co-Authors: D. B. FairlieAbstract:The multi-field generalisation of the Bateman Equation arises from considerations of the continuation of String and Brane Equations to the case where the base space is of higher dimension than the target space. The complex extension of this Equation possesses a remarkably large invariance group, and admits a very simple implicit form for its general solution, in addition to the special case of holomorphic and anti-holomorphic explicit solutions. A class of inequivalent Lagrangians for this Equation is discovered.
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Another Complex Bateman Equation
arXiv: Mathematical Physics, 2001Co-Authors: D. B. FairlieAbstract:A further class of complex covariant field Equations is investigated. These Equations possess several common features: they may be solved, or partially solved in terms of implicit functional relations, they possess an infinite number of inequivalent Lagrangians which vanish on the space of solutions of the Equations of motion, they are invariant under linear transformations of the independent variables, and thus are signature-blind and are consequences of first order Equations of hydrodynamic type.
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The complex Bateman Equation in a space of arbitrary dimension
Journal of Mathematical Physics, 2001Co-Authors: D. B. Fairlie, A. N. LeznovAbstract:The general solution to the complex Bateman Equation in a space of arbitrary dimensions is constructed.
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The Complex Bateman Equation in a space of arbitrary dimension
arXiv: Exactly Solvable and Integrable Systems, 1999Co-Authors: D. B. Fairlie, A. N. LeznovAbstract:A general solution to the Complex Bateman Equation in a space of arbitrary dimensions is constructed.
A. N. Leznov - One of the best experts on this subject based on the ideXlab platform.
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Institute for High Energy Physics, 142284 Protvino,
2008Co-Authors: D. B. Fairlie, A. N. LeznovAbstract:The general solution to the Complex Bateman Equation is constructed. It is given in implicit form in terms of a functional relationship for the unknown function. The known solution of the usual Bateman Equation is recovered as a special case
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The complex Bateman Equation in a space of arbitrary dimension
Journal of Mathematical Physics, 2001Co-Authors: D. B. Fairlie, A. N. LeznovAbstract:The general solution to the complex Bateman Equation in a space of arbitrary dimensions is constructed.
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The Complex Bateman Equation in a space of arbitrary dimension
arXiv: Exactly Solvable and Integrable Systems, 1999Co-Authors: D. B. Fairlie, A. N. LeznovAbstract:A general solution to the Complex Bateman Equation in a space of arbitrary dimensions is constructed.
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The Complex Bateman Equation
Letters in Mathematical Physics, 1999Co-Authors: D. B. Fairlie, A. N. LeznovAbstract:The general solution to the complex Bateman Equation is constructed. It is given in implicit form in terms of a functional relationship for the unknown function. The known solution of the usual Bateman Equation is recovered as a special case.
Stanisław Pilecki - One of the best experts on this subject based on the ideXlab platform.
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Approximation of time-uptake curve to a modified Bateman Equation based on three uptake tests - potential value for dosimetry of corpuscular radiation.
Nuclear medicine review. Central & Eastern Europe, 2015Co-Authors: Cyprian Świętaszczyk, Stanisław PileckiAbstract:BACKGROUND: Many models of assessing radiopharmaceutical kinetics for dosimetry have been developed, starting from the formula of Marinelli. They are either inaccurate or require taking multiple patient uptake measurements. MATERIAL AND METHODS: Radiotracer behavior is approached to a modified Bateman Equation (“biphasic model”). The calculated effective half time, maximum uptake and the cumulated uptake according to the biphasic model is compared to the values obtained with the most popular Marinelli’s method (“simplified model”). The calculations can be performed by free online-accessible software on the site: www.nuk.bieganski.org (“Calculator”). RESULTS: Using of the software allows a direct comparison of the obtained effective half times according to both, the simplified and the biphasic, models. Further errors can come from imprecise measure of the maximum uptake value (especially, when the time of the measurement differs from the true point of the maximum uptake) and from neglecting of the ascending branch of the time-uptake curve. It is possible to compare the cumulated uptake values according to both models (“correction factor”). The results can be combined with the widely known formula of Marinelli. The operations require only one additional uptake measurement, which could be performed shortly after the i.v. administration of the radiotracer, i.e., during the same visit of the patient. CONCLUSION: The proposed theoretic model could be verified practically for some i.v.-administered radiopharmaceuticals.
Pilecki, Stanisław E. - One of the best experts on this subject based on the ideXlab platform.
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Approximation of time-uptake curve to a modified Bateman Equation based on three uptake tests — potential value for dosimetry of corpuscular radiation
'VM Media SP. zo.o VM Group SK', 2015Co-Authors: Świętaszczyk Cyprian, Pilecki, Stanisław E.Abstract:BACKGROUND: Many models of assessing radiopharmaceutical kinetics for dosimetry have been developed, starting from the formula of Marinelli. They are either inaccurate or require taking multiple patient uptake measurements. MATERIAL AND METHODS: Radiotracer behavior is approached to a modified Bateman Equation (“biphasic model”). The calculated effective half time, maximum uptake and the cumulated uptake according to the biphasic model is compared to the values obtained with the most popular Marinelli’s method (“simplified model”). The calculations can be performed by free online-accessible software on the site: www.nuk.bieganski.org (“Calculator”). RESULTS: Using of the software allows a direct comparison of the obtained effective half times according to both, the simplified and the biphasic, models. Further errors can come from imprecise measure of the maximum uptake value (especially, when the time of the measurement differs from the true point of the maximum uptake) and from neglecting of the ascending branch of the time-uptake curve. It is possible to compare the cumulated uptake values according to both models (“correction factor”). The results can be combined with the widely known formula of Marinelli. The operations require only one additional uptake measurement, which could be performed shortly after the i.v. administration of the radiotracer, i.e., during the same visit of the patient. CONCLUSION: The proposed theoretic model could be verified practically for some i.v.-administered radiopharmaceuticals