TY - JOUR
T1 - Recent developments in heavy-ion fusion reactions around the Coulomb barrier
AU - Hagino, K.
AU - Rowley, N.
AU - Yao, J. M.
N1 - Funding Information:
This work was partially supported by the National Natural Science Foundation of China under Grant Nos. 11305134, 11105111, and the Fundamental Research Funds for the Central University (XDJK2013C028).
Publisher Copyright:
© The Authors, published by EDP Sciences, 2016.
PY - 2016/6/21
Y1 - 2016/6/21
N2 - The nuclear fusion is a reaction to form a compound nucleus. It plays an important role in several circumstances in nuclear physics as well as in nuclear astrophysics, such as synthesis of superheavy elements and nucleosynthesis in stars. Here we discuss two recent theoretical developments in heavy-ion fusion reactions at energies around the Coulomb barrier. The first topic is a generalization of the Wong formula for fusion cross sections in a single-channel problem. By introducing an energy dependence to the barrier parameters, we show that the generalized formula leads to results practically indistinguishable from a full quantal calculation, even for light symmetric systems such as 12C+12C, for which fusion cross sections show an oscillatory behavior. We then discuss a semi-microscopic modeling of heavy-ion fusion reactions, which combine the coupled-channels approach to the state-of-the-art nuclear structure calculations for low-lying collective motions. We apply this method to subbarrier fusion reactions of 58Ni+58Ni and 40Ca+58Ni systems, and discuss the role of anharmonicity of the low-lying vibrational motions.
AB - The nuclear fusion is a reaction to form a compound nucleus. It plays an important role in several circumstances in nuclear physics as well as in nuclear astrophysics, such as synthesis of superheavy elements and nucleosynthesis in stars. Here we discuss two recent theoretical developments in heavy-ion fusion reactions at energies around the Coulomb barrier. The first topic is a generalization of the Wong formula for fusion cross sections in a single-channel problem. By introducing an energy dependence to the barrier parameters, we show that the generalized formula leads to results practically indistinguishable from a full quantal calculation, even for light symmetric systems such as 12C+12C, for which fusion cross sections show an oscillatory behavior. We then discuss a semi-microscopic modeling of heavy-ion fusion reactions, which combine the coupled-channels approach to the state-of-the-art nuclear structure calculations for low-lying collective motions. We apply this method to subbarrier fusion reactions of 58Ni+58Ni and 40Ca+58Ni systems, and discuss the role of anharmonicity of the low-lying vibrational motions.
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U2 - 10.1051/epjconf/201612207002
DO - 10.1051/epjconf/201612207002
M3 - Conference article
AN - SCOPUS:84978151489
VL - 122
JO - EPJ Web of Conferences
JF - EPJ Web of Conferences
SN - 2101-6275
M1 - 07002
T2 - 5th International Workshop on Compound-Nuclear Reactions and Related Topics, CNR 2015
Y2 - 19 October 2015 through 23 October 2015
ER -