9Be scattering with microscopic wave functions and the CDCC method

Abstract

We use microscopic 9Be wave functions defined in a alpha+alpha+n multicluster model to compute 9Be+target scattering cross sections. The parameter sets describing 9Be are generated in the spirit of the Stochastic Variational Method (SVM), and the optimal solution is obtained by superposing Slater determinants and by diagonalizing the Hamiltonian. The 9Be three-body continuum is approximated by square-integral wave functions. The 9Be microscopic wave functions are then used in a Continuum Discretized Coupled Channel (CDCC) calculation of 9Be+208Pb and of 9Be+27Al elastic scattering. Without any parameter fitting, we obtain a fair agreement with experiment. For a heavy target, the influence of 9Be breakup is important, while it is weaker for light targets. This result confirms previous non-microscopic CDCC calculations. One of the main advantages of the microscopic CDCC is that it is based on nucleon-target interactions only; there is no adjustable parameter. The present work represents a first step towards more ambitious calculations involving heavier Be isotopes.

Phys. Rev. C in press

References in corpus (17)

• The R-matrix theory
• Precise solution of few-body problems with stochastic variational method on correlated Gaussian basis
• Structure of Light Unstable Nuclei Studied with Antisymmetrized Molecular Dynamics
• Continuum-discretized coupled-channels method for four-body nuclear breakup in ${}^6$He+${}^{12}$C scattering
• Structure of the mirror nuclei ${}^9$Be and ${}^9$B in a microscopic cluster model
• Important role of the spin-orbit interaction in forming the 1/2^+ orbital structure in Be isotopes
• An R-matrix package for coupled-channel problems in nuclear physics
• Resonance parameters of the first 1/2+ state in 9Be and astrophysical implications
• Triaxial deformation in 10Be
• Toward a microscopic description of reactions involving exotic nuclei
• ${}^9$Be elastic scattering on ${}^{208}$Pb and ${}^{27}$Al within a four-body reaction framework
• Correlated-basis description of $\alpha$-cluster and delocalized $0^{+}$ states in ${}^{16}$O
• Evidence of strong dynamic core excitation in ${}^{19}$C resonant break-up
• Extracting three-body breakup observables from CDCC calculations with core excitations
• Low-energy ${}^6$He scattering in a microscopic model
• Low-energy photodisintegration of ${}^9$Be with the molecular orbit model
• Investigation of 3/2${}_2^{-}$ state of ${}^9$Li nucleus with microscopic structure and reaction models

Cited by in corpus (3)

• The total reaction cross section of heavy-ion reactions induced by stable and unstable exotic beams: The low-energy regime
• An extension of the generator coordinate method with basis optimization
• Wave function of ${}^9$Be in the three-body (alpha-alpha-n)-model