dineutron formation and breaking in 8 he
DESCRIPTION
Dineutron formation and breaking in 8 He. arXiv:1305.4323 [ nucl-th ]. Department of Physics , Kyoto University Fumiharu Kobayashi Yoshiko Kanada-En’yo. Introduction. Dineutron correlation. dineutron. - PowerPoint PPT PresentationTRANSCRIPT
Dineutron formation and breaking in 8He
2013 10th Sep.
The 22nd European Conference on Few-Body Problems in Physics 1
Department of Physics, Kyoto University Fumiharu Kobayashi
Yoshiko Kanada-En’yo
arXiv:1305.4323 [nucl-th]
Introduction
2013 10th Sep.
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Dineutron correlation2013 10th Sep.
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A dineutron : A compact spin-singlet pair of two neutrons.
Dineutron correlation is enhanced in some situations.
(e.g. in the low-density region of the nuclear matter,
in the neutron-halo and -skin region of neutron-rich nuclei; 6He, 11Li…)
M. Matsuo, PRC 67 (2006)…
G. F. Bertch and H. Esbensen, Ann. Phys. (NY) 209 (1991) M. V. Zhukov et al., Phys. Rep. 231 (1993)
core
dineutron
To make clear the mechanism of the dineutron formation, andthe universal properties of the dineutron correlation.
Our aim
The 22nd European Conference on Few-Body Problems in Physics
8He2013 10th Sep. 4
a + four valence neutrons
a
(0p3/2)4-shell
6He
developed one-dineutron
a
developed two-dineutron
the 0+1 state
(Y. Kanada-En’yo, PRC 76 (2007), N. Itagaki et al. PRC 78 (2008))
the 0+2 state
Framework
2013 10th Sep.
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In order to describe 8He, we superpose two kinds of wave functions, extended 6He + 2n cluster wave functions
and 8He dineutron condensate (DC) wave functions.
Description of 8He2013 10th Sep.
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F.K. and Y. Kanada-En’yo. PTP 126 (2011)
N. Itagaki et al, PRC 71 (2005)
a6He
a 6He
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Extended 6He+2n cluster w.f.2013 10th Sep. 7
The 8He system is composed of 6He(H.O.(0p)2) core and two neutrons around it.
The dissociation effect in 2n cluster due to the spin-orbit interaction can be taken into account.6He
2n*
We mainly describe H.O.(0p3/2)4 and one dineutron at the surface.
The 22nd European Conference on Few-Body Problems in Physics
8He DC wave function2013 10th Sep. 8
We assume that the system is composed of the core and one dineutron.
One dineutron (spin-singlet 2n)is distributed around the corein the S-wave.
The DC wave function has two characteristic parameters, the dineutron size, bn, the expansion from the core, b.
b2bn
a
2n*
dineutron
We describe one- or two- developed dineutrons.
Result
2013 10th Sep.
The 22nd European Conference on Few-Body Problems in Physics 9
The 22nd European Conference on Few-Body Problems in Physics
8He(0+1,2)
2013 10th Sep. 1
0
a+4n threshold
EXP. CAL.
0+1 0+
1
0+2
(0p3/2)4 6He+
Poster session
(0p3/2)4-componentand one-dineutron oneare important.
Dineutron condensate state
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Two-dineutron condensation in 0+2
2013 10th Sep. 1
1
In 8He(0+2),
valence neutrons form two compact dineutrons.
Two dineutrons and an a are expanded largely with little correlation each other.
Two-dineutron condensation characterized by a gas-like structure of a+2dineutron.
~3fm
~5fm
Summary
2013 10th Sep.
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2
The 22nd European Conference on Few-Body Problems in Physics
Summary2013 10th Sep. 1
3
We investigated the dineutron correlation in 8He(0+).
In the excited 0+ state of 8He, the two-dineutron condensation would exist, characterized by a gas-like structure of an a and two dineutrons.
[Poster session 12th Sep. (Thu.)]In 8He(0+
1), (0p3/2)4- and developed one-dineutron components are mixed, but developed two-dineutron one is minor because of the fragility of the dineutrons.
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4
Description of 8He2013 10th Sep.
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5
6He+2n* → (0p3/2)4 sub-shell closure 6He in (0p)2 + one dineutron around
6He
DC → 6He in (0p)2 + one developed dineutron a + two developed dineutron
1-DC wave function2013 10th Sep.
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6
Assuming that the A-nucleon system is composed of (A-2)-nucleon core and one dineutron.
( Not a dineutron condensate state )
core (Brink) dineutronB
dineutron
Yn
n
~ bn
core
Here assuming that B = Bx = By = Bz .
Transformation to relative and c.o.m. w.f.
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(s-wave)
(S-wave)
coordinate transformation Y-integral
relative part
c.o.m. part
size of the dineutron
spatial expantion of the dineutron
n
nb
2bn
core
rrG
Dineutron condensate component2013 10th Sep.
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8
We calculate the overlap with aDC w.f. to see the dineutron condensate components in 8He. Here we approximate aDC w.f. as follows.
replace one of the R-integal by the d-summation
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One-body density2013 10th Sep. 1
9
Hamiltonian
: LS part of G3RS vLS = 2000 MeV
: Volkov No.2 m=0.55, b=h=0.125 (2n unbound) or m=0.59, b=h=0.0 (2n bound)
2013 10th Sep.
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0
0+ energy spectra
6He+n+n
a+n+n+n+n
(2n bound)
(2n unbound)
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1
0+1
competition of (0p3/2)4 andone-dineutron
0+2
Two-dineutronin the S-wave
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R.m.s. radii2013 10th Sep. 2
2
The neutron expansion (halo, skin) in 6,8He(0+1) is
reproduced.8He(0+
2) has much larger neutron radius than that of 8He(0+
1).
Three body model
(a) K. Arai et al, PRC 59 (1996)
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Degree of shell-model component2013 10th Sep. 2
3
We calculate the squared spin and the 0p3/2-shell component.
(a) K. Arai et al, PRC 59 (1996)(b) K. Hagino et al, PRC 72 (2005)
Dineutron is major.
Shell-model and dineutron compete.
Dineutron is dominant.
in (0p3/2)2
in (0p3/2)4
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one-dineutron componentDineutron component in 0+
1
2013 10th Sep. 2
4
two-dineutron component
b : dineutron expansionb n :
dine
utro
n siz
e
(fm)
(fm)
Not only one but also two compact dineutrons are formedat the surface. (b, bn)~ (2.0, 1.5)
However, the tail component(b ≥ 4 fm) diminishesin two-dineutron one.
A dineutron is fragile.
6Heb
2bn
In the ground state,(0p3/2)4 -componentand developed one-dineutron componentare significant.
(0p3/2)46He+
b
2bna
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One-dineutron component in 8He(0+1)
2013 10th Sep. 2
5
bbn
core
In m55 (strong a-n interaction), the dineutron is more dissociated. In m59 (strong n-n interaction), the dineutron correlation is enhanced.
b : dineutron expansion(fm)b n :
dine
utro
n siz
e
(fm) m55 m59
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Comparison of 8He(0+1) with 6He(0+
1)2013 10th Sep. 2
6
bbn
core
b : dineutron expansion(fm)b n :
dine
utro
n siz
e
(fm) 8He 6He
In 6He, a dineutron is formed at the surface. In 8He, a dineutron is dissociated at the surface due to the spin-orbit interaction.
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Two-dineutron component in 8He(0+1)
2013 10th Sep. 2
7
The peak component is similar, but the tail component is reduced in 2DC.
(fm) 1DC 2DC
b n :
dine
utro
n siz
e
b : dineutron expansion(fm)b
bn
The component of two developed dineutrons is suppressed.
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two-dineutron component
b : dineutron expansionb n :
dine
utro
n siz
e
(fm)
(fm)
Dineutron condensation in 0+2
2013 10th Sep. 2
8
b
2bn
This state has a gas-like structure ofone a and two compact dineutrons expanded very largely.
Two-dineutron condensate state
The 22nd European Conference on Few-Body Problems in Physics
Two-dineutron condensation in 8He(0+2)
2013 10th Sep. 2
9
bbn8He(0+2) contains swelled dineutrons
expanded largely from the origin.
(fm)
b n :
dine
utro
n siz
e
b : dineutron expansion(fm)
m59 m55
Two-dineutron condensation