Absorbing Boundary Condition Approach for Breakup Reactions of Halo Nuclei

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概要

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• We have presented the ABC approach to describe breakup reactions of weakly bound projectile. With the ABC, a general scattering problem with outgoing boundary condition is recasted into a linear inhomogeneous differential equation with vanishing boundary condition. Thus the scattering problem may be treated without introducing any asymptotic form for the wave function. In the partial wave expansion and radial discretization, the linear inhomogeneous equation results in the linear algebraic problem with sparse, complex symmetric coefficient matrix. Efficient iterative solvers are useful to solve this linear problem. We show application of our method to deuteron reaction for which detailed analyses with the CDCC method is available. We have confirmed that the ABC calculation accurately reproduce the CDCC results. Thus the ABC approach provides an alternative approach to describe reactions where breakup processes into continuum channels are important. Comparing two approaches, the ABC is advantageous in that the scattering wave function is obtained directly in real-space, avoiding introduction of virtual continuum channels. The convergence of the calculation can be examined with a few, intuitive, parameters related to the shape of absorbing potential. The trade-off for its simplicity is a heavy computational task to solve the large linear problem. We have applied the ABC approach for breakup reaction of single neutron-halo nucleus ^11Be on ^12C target. It is found that the eikonal approximation becomes inaccurate at incident energy below 50 MeV/A. The eikonal approximation substantially underestimates the breakup cross section. Although we here discuss only reaction problems, the ABC will be useful for any circumstances where the scattering boundary condition comes into play. Responses in the continuum are one of the other problems where the ABC is extremely useful, as discussed in another report in this symposium.

• 理論物理学刊行会の論文
• 2002-12-26

著者

• NAKATSUKASA Takashi

  Theoretical Nuclear Physics Laboratory, RIKEN Nishina Center

• YABANA Kazuhiro

  Department of Physics, Kyoto University

• Yabana K

  Univ. Tsukuba Tsukuba Jpn

• Yabana Kazuhiro

  Research Institute For Fundamental Physics Kyoto University

• Yabana Kazuhiro

  Institute Of Physics University Of Tsukuba

• Yabana Kazuhiro

  Institute Of Physics & Center For Computational Sciences University Of Tsukuba

• NAKATSUKASA Takashi

  Physics Department, Tohoku University

• UEDA Manabu

  Akita National College of Technology

• UEDA Manabu

  Institute of Physics, University of Tsukuba

• Nakatsukasa Takashi

  Theoretical Nuclear Physics Laboratory Riken Nishina Center

• Nakatsukasa Takashi

  Physics Department Tohoku University

• Ueda M

  Akita National College Of Technology

• Ueda Manabu

  Institute Of Physics University Of Tsukuba

• Nakatsukasa T

  Physics Department Tohoku University

• NAKATSUKASA Takashi

  Institute of Physics and Center for Computational Science, University of Tsukuba

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