Fusion cross section for Ni-based reactions within the relativistic mean-field formalism

Abstract

In this theoretical study, we establish an interrelationship between the nucleon-nucleon interaction potential and the nuclear fusion reaction cross-sections at low energies. The axially deformed self-consistent relativistic mean field with non-linear NL3 * force is used to calculate the density distribution of the projectile and target nuclei for fusion. The Wong formula is used to estimate the fusion cross-section and barrier distribution from the nucleus-nucleus optical potential for Nibased systems, which are known for fusion hindrance phenomena. The results of the application of the so obtained nucleus-nucleus optical potential for the fusion cross-section from the recently developed relativistic N N −interaction (R3Y) are compared with the well-known, phenomenological M3Y effective N N potential. We found a relatively good results from R3Y interactions below the barrier energies as compare to the M3Y potential concerning the experimental data. We also observe the density dependence on the nuclear interaction potential in terms of nucleon-nucleon optical potentials.

Detail study of application of the relativistic mean-field effective NN forces for heavy-ion fusion within a dynamical model

“…[18]. The resulting Snn-potentials and total interaction potentials (including the Coulomb term) calculated for the s-wave in reaction 12 C+ 92 Zr are displayed in Fig. 2.…”

“…By our opinion, this observation solves the puzzle. The nucleus-nucleus interaction energy resulting from the RMF approach has been calculated earlier in [10][11][12]. The NN forces from Ref.…”

Fusion dynamics of 12C + 12C reaction: An astrophysical interest within the relativistic mean‐field approach

“…More details of RMF approach can be found in Bhuyan & Kumar (2018), Bhuyan et al (2020), Lalazissis et al (2009), Ring (1996) and references therein. Here we have used two kinds of nucleon‐nucleon potentials, namely, (a) the most popular M3Y potential given in terms of three Yukawa terms (Bhuyan & Kumar 2018; Bhuyan et al 2020; Satchler & Love 1979); and (b) the recently developed relativistic R3Y potential by solving the RMF equations of motion for mesons in limit of one‐meson exchange (Bhuyan & Kumar 2018; Bhuyan et al 2020; Sahu et al 2014; Singh et al 2012). For the present study, we have used recently developed non‐linear NL3 * parameter set (Lalazissis et al 2009), which is the refitted version of the NL3 parameter set.…”

“…For the present study, we have used recently developed non‐linear NL3 * parameter set (Lalazissis et al 2009), which is the refitted version of the NL3 parameter set. It is worth mentioning that the relativistic R3Y NN potential is analogous to the M3Y potential and can be used for various nuclear studies, such as proton and cluster radioactivity, nuclear decay, nuclear fusion, and so on (Bhuyan & Kumar 2018; Bhuyan et al 2020; Sahu et al 2014; Singh et al 2012). The barrier characteristics i.e.…”

“…It excludes the angular momentum dependence of potential, which was later included by Kumar et al (2009). The extended formula is named as ℓ‐summed Wong model (Bhuyan & Kumar 2018; Bhuyan et al 2020; Kumar et al 2009). In this model, the fusion cross‐section in terms of the partial wave is given as, …”