Séminaire DRS/Phys. Nucl - "Recent developments in heavy-ion fusion reactions around the Coulomb barrier" (K. Hagino)
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Europe/Paris
Batiment 27
Batiment 27
Description
Heavy-ion fusion reactions at energies around the Coulomb barrier
are strongly influenced by couplings of the relative motion of the
colliding nuclei to several nuclear intrinsic motions. Here,
multiple excitations to higher members of collective states, such
as multi-phonon states and high-spin states in the
ground state rotational band, often play an important role.
In order to take into account those multiple excitations
during fusion reactions, the coupled-channels approach
has been a standard tool.In this approach,
one often uses a simple macroscopic model for nuclear structure,
that is, the harmonic oscillator model for vibrational nuclei and
the rigid rotor model for deformed nuclei.In reality, however, most
nuclei have neither a pure harmonic oscillator spectrum nor a pure
rigid body rotational band, although the rigid rotor approximation
works well for medium-heavy and heavy deformed nuclei.
In this talk, we will discuss how one can incorporate
nuclear structure calculations for general spectra into
the coupled-channels approach for heavy-ion fusion reactions.
To this end, we will employ the so called beyond-mean-field approach,
which incorporates the quantum fluctuation of a mean-field wave function
together with the angular momentum and particle number projections.
This method provides transition strengths among collective states without
resorting to the harmonic oscillator model or the rigid rotor model.
We will then use them as inputs to coupled-channels calculations for
subbarrier fusion reactions.
We will apply this approach particularly to the 16O+208Pb system, for
which previous coupled-channels calculations based on
multi-harmonic-phonon
excitations have failed to reproduce the observed energy dependence of
fusion cross sections, and overestimated the height of the main peak in
the fusion barrier distribution. We will demonstrate that our new approach
largely resolves this long-standing unsolved puzzle by taking into account
the ahnarmonicity of the octupole vibrational excitation in 208Pb [1].
We will also briefly discuss an extension of the Wong formula for fusion
cross sections [2] as well as applications of the Bayesian statistics to
fusion barrier distributions [3].
[1] "Anharmonicity of multi-octupole-phonon excitations in 208Pb: analysis
with multi-reference covariant density functional theory and
subbarrier
fusion of 16O+208Pb",
J.M. Yao and K. Hagino, Phys. Rev. C94 (2016) 011303(R).
[2] "Investigating multi-channel quantum tunneling in heavy-ion fusion
reactions
with Bayesian spectral deconvolution",
K. Hagino, Phys. Rev. C93 (2016) 061601(R).
[3] "Examination of fusion cross sections and fusion oscillations with a
generalized Wong formula",
N. Rowley and K. Hagino, Phys. Rev. C91 (2015) 044617.