Dynamical calculations of the above-barrier heavy-ion fusion cross sections using Hartree-Fock nuclear densities with the SKX coefficient set

M. V. Chushnyakova, R. Bhattacharya, I. I. Gontchar

    Research output: Contribution to journalArticle

    13 Citations (Scopus)

    Abstract

    Background: In our previous paper [Gontchar, Phys. Rev. C 89, 034601 (2014)PRVCAN0556-281310.1103/PhysRevC.89.034601] we have calculated the capture (fusion) excitation functions for several reactions with O16,Si28, and S32 nuclei as the projectiles and Zr92,Sm144, and Pb208 nuclei as the targets. These calculations were performed by using our fluctuation-dissipation trajectory model based on the double-folding approach with the density-dependent M3Y NN forces that include the finite range exchange part. For the nuclear matter density the Hartree-Fock approach with the SKP coefficient set that includes the tensor interaction was applied. It was found that for most of the reactions induced by O16 the calculated cross sections cannot be brought into agreement with the data. This suggested that the deviation in the calculated nuclear density for O16 from the experimental one was crucial. Method: The SKX parameter set is used to obtain the nuclear densities. Reactions with C12 and S36 as the projectiles and Pb204 as the target are included in the analysis in addition to those of the previous paper. Only data that correspond to the collision energy Ec.m.>1.1UB0 (UB0 is the s-wave fusion barrier height) are included in the analysis. The radial friction strength KR is used as the individual adjustable parameter for each reaction. Results: For all 13 reactions (91 points) it is possible to reach an agreement with the experimental fusion cross sections within 10%. Only at ten points does the deviation exceed 5%. The value of KR, which provides the best agreement with the data in general, decreases as the system gets heavier in accord with the previous paper [Gontchar, Phys. Rev. C 89, 034601 (2014)PRVCAN0556-281310.1103/PhysRevC.89.034601]. A universal analytical approximation for the dependence of KR upon the Coulomb barrier height is found. Conclusions: The developed model is able to reproduce the above-barrier portion of the fusion excitation function within 5% with a probability of 90%. Only one fitting parameter per excitation function KR is used. The model can be used to predict the results of relevant measurements. The universal analytical approximation of the KR dependence upon the Coulomb barrier height helps to find the starting value of KR for a more accurate description.

    Original languageEnglish
    Article number017603
    JournalPhysical Review C - Nuclear Physics
    Volume90
    Issue number1
    DOIs
    Publication statusPublished - 21 Jul 2014

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    heavy ions
    fusion
    cross sections
    coefficients
    projectiles
    excitation
    deviation
    nuclei
    approximation
    folding
    friction
    dissipation
    trajectories
    tensors
    collisions
    interactions
    energy

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Dynamical calculations of the above-barrier heavy-ion fusion cross sections using Hartree-Fock nuclear densities with the SKX coefficient set. / Chushnyakova, M. V.; Bhattacharya, R.; Gontchar, I. I.

    In: Physical Review C - Nuclear Physics, Vol. 90, No. 1, 017603, 21.07.2014.

    Research output: Contribution to journalArticle

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    abstract = "Background: In our previous paper [Gontchar, Phys. Rev. C 89, 034601 (2014)PRVCAN0556-281310.1103/PhysRevC.89.034601] we have calculated the capture (fusion) excitation functions for several reactions with O16,Si28, and S32 nuclei as the projectiles and Zr92,Sm144, and Pb208 nuclei as the targets. These calculations were performed by using our fluctuation-dissipation trajectory model based on the double-folding approach with the density-dependent M3Y NN forces that include the finite range exchange part. For the nuclear matter density the Hartree-Fock approach with the SKP coefficient set that includes the tensor interaction was applied. It was found that for most of the reactions induced by O16 the calculated cross sections cannot be brought into agreement with the data. This suggested that the deviation in the calculated nuclear density for O16 from the experimental one was crucial. Method: The SKX parameter set is used to obtain the nuclear densities. Reactions with C12 and S36 as the projectiles and Pb204 as the target are included in the analysis in addition to those of the previous paper. Only data that correspond to the collision energy Ec.m.>1.1UB0 (UB0 is the s-wave fusion barrier height) are included in the analysis. The radial friction strength KR is used as the individual adjustable parameter for each reaction. Results: For all 13 reactions (91 points) it is possible to reach an agreement with the experimental fusion cross sections within 10{\%}. Only at ten points does the deviation exceed 5{\%}. The value of KR, which provides the best agreement with the data in general, decreases as the system gets heavier in accord with the previous paper [Gontchar, Phys. Rev. C 89, 034601 (2014)PRVCAN0556-281310.1103/PhysRevC.89.034601]. A universal analytical approximation for the dependence of KR upon the Coulomb barrier height is found. Conclusions: The developed model is able to reproduce the above-barrier portion of the fusion excitation function within 5{\%} with a probability of 90{\%}. Only one fitting parameter per excitation function KR is used. The model can be used to predict the results of relevant measurements. The universal analytical approximation of the KR dependence upon the Coulomb barrier height helps to find the starting value of KR for a more accurate description.",
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    AU - Chushnyakova, M. V.

    AU - Bhattacharya, R.

    AU - Gontchar, I. I.

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    N2 - Background: In our previous paper [Gontchar, Phys. Rev. C 89, 034601 (2014)PRVCAN0556-281310.1103/PhysRevC.89.034601] we have calculated the capture (fusion) excitation functions for several reactions with O16,Si28, and S32 nuclei as the projectiles and Zr92,Sm144, and Pb208 nuclei as the targets. These calculations were performed by using our fluctuation-dissipation trajectory model based on the double-folding approach with the density-dependent M3Y NN forces that include the finite range exchange part. For the nuclear matter density the Hartree-Fock approach with the SKP coefficient set that includes the tensor interaction was applied. It was found that for most of the reactions induced by O16 the calculated cross sections cannot be brought into agreement with the data. This suggested that the deviation in the calculated nuclear density for O16 from the experimental one was crucial. Method: The SKX parameter set is used to obtain the nuclear densities. Reactions with C12 and S36 as the projectiles and Pb204 as the target are included in the analysis in addition to those of the previous paper. Only data that correspond to the collision energy Ec.m.>1.1UB0 (UB0 is the s-wave fusion barrier height) are included in the analysis. The radial friction strength KR is used as the individual adjustable parameter for each reaction. Results: For all 13 reactions (91 points) it is possible to reach an agreement with the experimental fusion cross sections within 10%. Only at ten points does the deviation exceed 5%. The value of KR, which provides the best agreement with the data in general, decreases as the system gets heavier in accord with the previous paper [Gontchar, Phys. Rev. C 89, 034601 (2014)PRVCAN0556-281310.1103/PhysRevC.89.034601]. A universal analytical approximation for the dependence of KR upon the Coulomb barrier height is found. Conclusions: The developed model is able to reproduce the above-barrier portion of the fusion excitation function within 5% with a probability of 90%. Only one fitting parameter per excitation function KR is used. The model can be used to predict the results of relevant measurements. The universal analytical approximation of the KR dependence upon the Coulomb barrier height helps to find the starting value of KR for a more accurate description.

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