Approximation of reduced width amplitude and application to cluster decay width

Abstract

We propose a simple method to approximately evaluate reduced width amplitude (RWA) of a two-body spinless cluster channel using the norm overlap with the Brink-Bloch cluster wave function at the channel radius. The applicability of the present approximation is tested for the ${}^{16}$O+$\alpha$ channel in ${}^{20}$Ne as well as the $\alpha$+$\alpha$ channel in ${}^8$Be. The approximation is found to be reasonable to evaluate the RWA for states near the threshold energy and it is useful to estimate the $\alpha$-decay width of resonance states. The approximation is also applied to ${}^9$Li, and the partial decay width of the ${}^6$He($0_1^{+}$)+$t$ channel is discussed.

20 pages, 10 figures

References in corpus (21)

• Structure of Light Unstable Nuclei Studied with Antisymmetrized Molecular Dynamics
• Molecular Dynamics for Fermions
• Variation after Angular Momentum Projection for the Study of Excited States Based on Antisymmetrized Molecular Dynamics
• Structure of Excited States of 10Be studied with Antisymmetrized Molecular Dynamics
• Microscopic calculation of the 3He(alpha,gamma)7Be and 3H(alpha,gamma)7Li capture cross sections using realistic interactions
• Microscopic multicluster description of neutron-halo nuclei with a stochastic variational method
• Nuclear Structure based on Correlated Realistic Nucleon-Nucleon Potentials
• Cluster Structures of the Ground and Excited States of 12Be Studied with Antisymmetrized Molecular Dynamics
• Cluster structures of excited states in ${}^{14}$C
• Structure of the mirror nuclei ${}^9$Be and ${}^9$B in a microscopic cluster model
• ${}^6$He + $\alpha$ clustering in ${}^{10}$Be
• Important role of the spin-orbit interaction in forming the 1/2^+ orbital structure in Be isotopes
• Application of the generalized two-center cluster model to 10Be
• ${}^{16}\mathrm{O}{+}^{16}\mathrm{O}$ nature of the superdeformed band of ${}^{32}\mathrm{S}$ and the evolution of the molecular structure
• Non-adiabatic dynamics in 10Be with the microscopic alpha+alpha+N+N model
• Cluster structures in Oxygen isotopes
• 4He decay of excited states in 14C
• Extreme alpha-clustering in the 18O nucleus
• ${}^6$He-triton cluster states in ${}^9$Li
• Exotic clusters in the excited states of Be-12, Be-14 and B-15
• Helium-cluster decay widths of molecular states in beryllium and carbon isotopes

Cited by in corpus (18)

• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• Experimental investigation of a linear-chain structure in the nucleus 14C
• Structure and decay pattern of linear-chain state in 14C
• Alpha clustering and alpha-capture reaction rate from ab initio symmetry-adapted description of ${}^{20}$Ne
• Validation of the ${}^{10}\mathrm{Be}$ Ground-State Molecular Structure Using ${}^{10}\mathrm{Be}(p,p\alpha {)}^6\mathrm{He}$ Triple Differential Reaction Cross-Section Measurements
• Manifestation of α-clustering in ${}^{10}$Be via α-knockout reaction
• Three-body decay of linear-chain states in ${}^{14}$C
• Quantitative description of the ${}^{20}$Ne($p$,$p\alpha$)${}^{16}$O cross section as a means of probing the surface $\alpha$ amplitude
• Probing surface distributions of $\alpha$ clusters in ${}^{20}$Ne via $\alpha$-transfer reaction
• Direct probing of the cluster structure in ${}^{12}$Be via $\alpha$-knockout reaction
• Cluster structures and monopole transitions of ${}^{14}$C
• Monopole transitions to cluster states in ${}^{10}$Be and ${}^9$Li
• Impact of the molecular resonances on the 12C+12C fusion reaction rate
• ${}^{12}\mathbf{C}+{}^{16}\mathbf{O}$ molecular resonances at deep sub-barrier energy
• Visualization of nuclear many-body correlations with the most probable configuration of nucleons
• ${}^{10}$B+$\alpha$ states with chain-like structures in ${}^{14}$N
• $\alpha$-cluster excited states in ${}^{32}$S
• Collective model for cluster motion in ${}^8$Be, ${}^{12}$C, and ${}^{16}$O systems