P CN Calculations for Z = 111 to Z = 118
W. Loveland and Liangyu Yao
1 Introduction
The cross section for producing a heavy evaporation residue in a complete fusion
reaction can be written as a non-separable product of three factors, which express
the capture cross section, the fusion probability and the survival probability.
σ EV R =
πh 2
2μE
(2 + 1) T (E, ,) P CN W sur (E, ,)
(1)
Each of these factors is dependent on the spin, but the survival probability, W sur ,
is zero or very small for higher spin values, effectively limiting the capture and
fusion terms. Many partial waves contribute to the capture cross sections, but the
higher partial waves result in non-surviving events. In this work, we examine the
impact of restrictions on spin placed by the survival probabilities for compound
nuclear reactions resulting in the synthesis of superheavy nuclei with Z CN = 111–
118. In doing so, we extend the previous work [1, 2] to treat the synthesis of the
heaviest nuclei with Z CN = 111–118.
W. Loveland () · L. Yao
Oregon State University, Corvallis, OR, USA
e-mail: lovelanw@onid.orst.edu
© 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_30
239
W. Loveland and Liangyu Yao
1 Introduction
The cross section for producing a heavy evaporation residue in a complete fusion
reaction can be written as a non-separable product of three factors, which express
the capture cross section, the fusion probability and the survival probability.
σ EV R =
πh 2
2μE
(2 + 1) T (E, ,) P CN W sur (E, ,)
(1)
Each of these factors is dependent on the spin, but the survival probability, W sur ,
is zero or very small for higher spin values, effectively limiting the capture and
fusion terms. Many partial waves contribute to the capture cross sections, but the
higher partial waves result in non-surviving events. In this work, we examine the
impact of restrictions on spin placed by the survival probabilities for compound
nuclear reactions resulting in the synthesis of superheavy nuclei with Z CN = 111–
118. In doing so, we extend the previous work [1, 2] to treat the synthesis of the
heaviest nuclei with Z CN = 111–118.
W. Loveland () · L. Yao
Oregon State University, Corvallis, OR, USA
e-mail: lovelanw@onid.orst.edu
© 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_30
239
