recent theoretical advances in nuclear cluster …...recent theoretical advances in nuclear cluster...
TRANSCRIPT
Recent Theoretical Advances in Nuclear ClusterPhysics
P. Schuck
IPN Orsay and LPMMC Grenoble
CONTENT
The situation of alpha cluster states in 12C
The situation in 16O and heavier
Monopole transitions and alpha clustering in 16O, etc.
Extension of THSR to include valence neutrons
Alpha condensation in infinite matter
Alpha decay of 212Po
Alpha-rings
Conclusions
Hoyle family
arXiv:1802.03523, to appearMaasaki KIMURA; Yasuro FUNAKI PRC 92,021302; C. Kurokawa, K. Kato: 3rd and 4th 0+ states, NPA 792, 87
Transition probabilities
Inelastic form factor to Hoyle state (Funaki et al.); very good agreementwith data with no adjustable parameter! THSR and GFMC; Los Alamos,Pieper et al.
0 1 2 3 410-4
10-3
10-2
10-1
k (fm-1)
f pt(
k)
VMC
GFMC
Experiment
0 0.2 0.40
1
2
3
4
5
6
k2 (fm-2)
6 Z
ftr
(k)
/ k2
(
fm2)
10−9
10−8
10−7
10−6
10−5
10−4
10−3
10−2
0 0.5 1 1.5 2 2.5 3 3.5
(dσ/d
Ω)/
(dσ/d
Ω) M
ott
q [fm−1]
THSR (01+ → 02
+)
Very sensitive to size of Hoyle state! VHoyle
Vg.s.∼ 4
Yasuro FUNAKI et al., Phys. Scripta 91, 123001 (2016)Kamimura, Uegaki, T. Neff et al.
Freer et al., also Cseh, but P. O. Hess: Pauli very important!!
AMD, from Kanada-En’yo:
y (f
m)
x (fm)
0
0.8
0.4
-4
-2
0
2
4
-4 -2 0 2 4
(fm )−2
T. Otsuka et al.: No core SM
also J. Draayer et al., K. Launey No inelastic form factor so far!
Radius of second 2+ state in 12C: Makoto ITO: to appear in PRC
Alpha condensation, 3-alpha decay out of Hoyle:S. Ishikawa
0
0.2
0.4
0.6
0.8
1.0
µλ
Ground state Hoyle state
S1 D1 G1 S2 D2 G2 S3 D3 G3 S1 D1 G1 S2 D2 G2 S3 D3 G3
S-wave dominance: 80 percent
Meissner et al., PRL 109, 252501 Lattice QMC; lattice spacing: 2fm
Yasuro FUNAKI: extended THSR for 4 alpha’s in 16O, PRC 97, 021304.experimental problem with 6-th +0 state around 15.1 MeV
|THSR− 16O〉 = α+α+α+α+|vacuum〉
Taiichi YAMADA: Monopole transitions in 16O:
Neutron separation of 8-11Be
PRC 93, 054308 (2017)
M. Kimura: 14, 16C, chain states
Alpha condensation in infinite matter, Sogo et al., PRC 81, 064310
Quantum Phase Transition in infinite matter and 16O
Lazauskas, Sogo et al., PRC 79, 051301
0
0.1
0.2
0.3
0.4
0 0.5 1 1.5 2 2.5
nk
k (fm-1
)
µ = −5.26 MeV
µ = −1.63 MeV
µ = 0.55 MeV
QPT in finite nucleiGogny force D1S, M. Girod; ’RMF’, JP. Ebran
Alpha pocket at the surface of 208PbChang Xu, G. Roepke et al., PRC 95; Double folding: Adamian et al.,PRC 94
Future challenge: alpha decay of deformed 226Ra
Alpha-ring: M. Girod et al., J.Phys. G 37, 064012 (2010)7-alpha ring measured?? Nature-article: Natowitz et al.
ConclusionsImmense activity in nuclear cluster physicsMostly for self-conjugate nuclei but also with valence neutrons (protons)Progress with Hoyle family of states in 12CSome progress with alpha gas states in 16O but experimental ambiguities withsixth zero plus state at about 15.1 MeVAlpha-condensation is a Quantum-Phase-transitionAlpha-decay 212PoAlpha rings
All started with this....THANK YOU!