Elsevier

Nuclear Physics A

Volume 252, Issue 1, 3 November 1975, Pages 237-252
Nuclear Physics A

Properties of heavy ion interaction potentials calculated in the energy density formalism

https://doi.org/10.1016/0375-9474(75)90614-4Get rights and content

Abstract

Properties of the real part of the interaction potential between two colliding ions are studied. The calculations are performed in the framework of the energy density formalism, using the sudden approximation. In particular, we show that the potential can be written as the product of a “universal” function and of a geometrical factor. The universal function itself can be parametrized in a simple way. Connections with the proximity theorem of Randrup, Swiatecki and Tsang are discussed in detail. Comparisons with other available potentials are made for a typical example.

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    The evidence such as calculations related to fusion barrier distribution, logarithmic derivative L(E) and astrophysical S(E) factors shows that all experiments measure the fusion cross sections (Canto et al., 2006; Aguilera et al., 1995; Silva et al. 1977) and then extract useful information about the fusion barriers by using theoretical models. Under these situations, a large number of theoretical models and potentials have been introduced to describe the heavy ion fusion reaction (Dutt and Puri, 2010;Blocki et al., 1977; Residorf, 1994; Myers and Swiatecki, 2000; Bass, 1974, 1977; Christensen and Winther, 1976; Winther 1995; Denisov, 2002; Royer et al. 2009; Gupta et al., 1993; Ngo et al., 1975; Denisov and Pilipenko, 2007; Umar and Oberacker, 2008). In the theoretical approaches, the coupling effects between the relative motion of the participant nuclei and their intrinsic degrees of freedom strongly enhances the fusion probability and resulting in the fusion cross sections at near and below Coulomb barrier energies (Balantekin and Takigawa, 1998; Dasgupta et al., 1998; Beckerman, 1988; Steadman and Rhoades-Brown, 1986; Stokstad et al., 1980; Leigh et al., 1995; Montagnoli et al. 2013).

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Laboratoire associé au CNRS.

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