Geometry of Two-Proton-Halo Candidate Nucleus . 大石知広 (M2) ° 、 萩野浩一 東北大学大学院・理学研究科・物理学専攻 （ 2009.8.28. 三者若手夏の学校）. Introduction (1). nucleus has a t ypical feature of “ Borromean ” nuclei, such that. → unbound,. or. but. → bound as . Introduction (2).
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nucleus has a typical feature of
“Borromean” nuclei, such that
→ bound as .
Two protons are considered to have the
“halo-like” structure around the core .
Its geometry is an interesting topic,
in connection to
1.di-proton correlation in weakly bound system,
2.two proton emission.
For two-neutron-halo nuclei, e.g. :
Ref:K.Hagino, and H.Sagawa, PRC72(‘05)044321
How does Coulomb repulsion affect the
Three-body model Hamiltonian:
(1).This time, I study only the g.s. of :
(2).Core is spherical, and proton-Core interaction
= Woods-Saxon + Coulomb:
=δ-interaction + Coulomb:
(1) Solve the single-particle Schrödinger eq:
as basis, diagonalize the total Hamiltonian.
and density-distributions of two protons.
Where . . .
to reproduce energy levels of .
To determine , I need
(1).energy cutoff :
Ref:H.Esbensen, G.F.Bertsch, and K.Hencken, PRC56(‘97)3054
※are determined to reproduce the binding energy difference between and :
The total Hamiltonian is diagonalized in the
truncated space, determined by .
I will calculate g.s.properties of .
Ref:C.A.Bertulani, and M.S.Hussein,
Density distribution as a function of and
the angle , weighted with :
•In the g.s. of , d(5/2)-wave is dominant,
and two protons tend to couple with S=0.
•Both S=0 & S=1 component have radial tail,
characteristic in halo nucleus.
•The expectation value of angle is .
However, it should be interpreted with a care,
because of the 3-peaked structure of density.
•Reproduce the resonance energies of for
accuracy of single-particle states.
•Construct excited states, i.e. coupling.
•Study about the dipole-excitation: