On the Role of the Curvature Corrections
in the Surface Tension Coefficient upon
the Orientation Effects in the Fusion
Reactions
K. Cherevko, L. Bulavin, L. Jenkovszky, and V. Sysoev
Nowadays the orientation effects in fusion reactions are intensively studied. Among
the possible mechanisms responsible for the changes of the barrier height and
reaction cross section are the Coulomb interaction [1] and changes in the nuclear
interaction potential due to curvature of the interfaces [2]. It can be seen from the
literature that Coulomb effects are well understood and can explain the qualitative
picture observed in the experiment. At the same time, the role of the nuclear
potential is not that well determined.
The present study addresses the possible influence of the difference in between
the surface tension coefficient of the semi-infinite nuclear matter σ ∞ and that for
the curved interface σ curv = σ ∞
1 −
2δ
R
[3] on the fusion of the deformed nuclei.
The equation of state of nuclear matter is calculated with a Skyrme interaction.
To solve the task the earlier developed theoretical model allowing to link the
surface and bulk properties of the nuclear matter [4] is used. Within that approach
the Tolman δ-correction [3] for the nuclear matter on the coexistence curve can be
found from the equation of state:
K. Cherevko () · L. Bulavin · V. Sysoev
Physics Faculty, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
e-mail: k.cherevko@knu.ua; sysoev@univ.kiev.ua
L. Jenkovszky
Bogolyubov Institute for Theoretical Physics (BITP), Kyiv, Ukraine
e-mail: jenk@bitp.kiev.ua
© This is a U.S. government work and not under copyright protection
in the U.S.; foreign copyright protection may apply 2021
J. Escher et al. (eds.), Compound-Nuclear Reactions, Springer Proceedings in
Physics 254, https://doi.org/10.1007/978-3-030-58082-7_31
247
in the Surface Tension Coefficient upon
the Orientation Effects in the Fusion
Reactions
K. Cherevko, L. Bulavin, L. Jenkovszky, and V. Sysoev
Nowadays the orientation effects in fusion reactions are intensively studied. Among
the possible mechanisms responsible for the changes of the barrier height and
reaction cross section are the Coulomb interaction [1] and changes in the nuclear
interaction potential due to curvature of the interfaces [2]. It can be seen from the
literature that Coulomb effects are well understood and can explain the qualitative
picture observed in the experiment. At the same time, the role of the nuclear
potential is not that well determined.
The present study addresses the possible influence of the difference in between
the surface tension coefficient of the semi-infinite nuclear matter σ ∞ and that for
the curved interface σ curv = σ ∞
1 −
2δ
R
[3] on the fusion of the deformed nuclei.
The equation of state of nuclear matter is calculated with a Skyrme interaction.
To solve the task the earlier developed theoretical model allowing to link the
surface and bulk properties of the nuclear matter [4] is used. Within that approach
the Tolman δ-correction [3] for the nuclear matter on the coexistence curve can be
found from the equation of state:
K. Cherevko () · L. Bulavin · V. Sysoev
Physics Faculty, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
e-mail: k.cherevko@knu.ua; sysoev@univ.kiev.ua
L. Jenkovszky
Bogolyubov Institute for Theoretical Physics (BITP), Kyiv, Ukraine
e-mail: jenk@bitp.kiev.ua
© This is a U.S. government work and not under copyright protection
in the U.S.; foreign copyright protection may apply 2021
J. Escher et al. (eds.), Compound-Nuclear Reactions, Springer Proceedings in
Physics 254, https://doi.org/10.1007/978-3-030-58082-7_31
247