structure of few‐body exotic...
TRANSCRIPT
![Page 1: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/1.jpg)
Emiko Hiyama (Kyushu Univ./RIKEN)
Structure of few‐body exotic systems
![Page 2: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/2.jpg)
Formation of cluster anduniversality
Nuclear physics
Y. kanadaHadron physics
A. Hosaka
Lattice QCDT. Doi
Atomic physics
E. Hiyama
P. Naidon, D. Kim
Talked by Hosaka
Project by D‐group
I report our research activities in other subjects within a few years.
![Page 3: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/3.jpg)
Key words:
EOS: EOS based on Lattice QCD
Three‐body force, baryon‐baryon interaction: construction by LQCD、three‐body force in hypernuclei:ΛN-ΣN couling
Tensor force: contribution of tensor force in neutron‐rich nucleiHow to form cluster in neutron‐rich nuclei and alsoin exotic hadron system.
Di‐quark, di‐neutron correlation
Universality: ultra cold atomic system, neutron‐rich nuclei
Within two years, we have been discussing among D‐group.
![Page 4: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/4.jpg)
Three‐body force, Baryon‐Baryon interaction
QCD interaction by HAL collaboration (Doi)
Ex:ΞN interaction
Structure of light Ξ hypernuclei (Hiyama)
Contribution to B01‐group: production of Ξ hypernuclei
12C(K‐,K+), 7Li(K‐,K+)
![Page 5: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/5.jpg)
We have observed a few events for these Ξ hypernuclei.
Ξ-
14N
14N-Ξ-
-4.38 ± 0.25 ~-1.10 ± 0.25 MeV
0 MeV
Kiso event
VΞN = V0 + σ・σ Vσ・σ + τ・τ Vτ・τ+ (σ・σ)(τ・τ) Vσ・σ τ・τVΞN interaction should be attractive.
11B
Ξ-
![Page 6: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/6.jpg)
ΞN interaction: T=0, S=0T=0, S=1T=1, S=0T=1, S=1
Ξ N
t=1/2S=1/2
t=1/2S=1/2
Important subject in Ξ hypernuclei
Four components should be attractive? Or repulsive?To investigate it, what is best suited Ξ hypernuclei?
How do we produce Ξ hypernuclei?
![Page 7: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/7.jpg)
N N
Ξ
NN
N Ξ
These s‐shell Ξ hypernuclei is suited for obtaining (T,S)=(0,0), (0,1),(1,0) and (1,1).
To obtain (predict) the binding energies of these Ξ hypernuclei,We should employ ‘reliable’ ΞN interaction.
We have ΞN potential models by Nijmegen group. However,The models have a lot of ambiguity due to no ΞN scattering data anda few data on Ξ hypernuclei.
No data
![Page 8: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/8.jpg)
ΞN interaction by HAL QCD collaboration
ΞN potential has been proposed by K. Sasaki and T. Doi et al.
![Page 9: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/9.jpg)
![Page 10: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/10.jpg)
N N
Ξ
NN
N Ξ
I show my new results of these light systems.
NN interaction: AV8 potential ΞN interaction :Nijimegen extended soft core potential (ESC08c)Realistic potential (only ΞN channel)
ΞN interaction by HAL collaboration (Lattice QCD calculation)The potential was made by K. Sasaki and Miyamoto.
![Page 11: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/11.jpg)
T=0, S=1 strongly attractive
T=0, S=0
T=1, S=1
T=1, S=0
V(T,S)
Property of the spin- and isospin-components of ESC08 and HAL
ESC08c HAL
Although the spin- and isospin-components of these two models are very different between them.
It is interesting to see the difference in the energy spectra in s-shell Ξ hypernuclei.
strong attractive
weakly repulsive
weakly repulsive
Weakly attractive
Strongly attractive
Weakly repulsive
Weakly attractive
![Page 12: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/12.jpg)
N N
Ξ
T=1/2, J=1/2+ and J=3/2+
ESC08c
d+ Ξ d+ Ξ
J=3/2+
0 MeV
‐2.57 MeV
0 MeVUnbound
J=1/2+
No bound state
![Page 13: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/13.jpg)
N N
Ξ
T=1/2, J=1/2+ and J=3/2+
HAL potential
J=1/2+
d+ Ξ d+ Ξ
J=3/2+
0 MeV0 MeV
No bound state
![Page 14: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/14.jpg)
NN
N Ξ
![Page 15: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/15.jpg)
NN
N Ξ
Systematic error
![Page 16: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/16.jpg)
n
Ξ‐
n p
p
K ‐ K +
3He
p
T=1/2
n
Ξ‐
n p
p
K ‐ K +
4He
p
T=1
nn
How do we produce them?
(K‐,K+) reaction by 3He and 4Hetargets at J‐PARC
Heavy ion reaction at Alice?or another facility?
![Page 17: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/17.jpg)
PressRelease (March 5, 2020)
![Page 18: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/18.jpg)
![Page 19: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/19.jpg)
Equation of State (EOS)
Baryon Interaction by LQCD (Doi)
• Flavor SU(3) symmetry• Only s‐wave baryon‐baryon interactions
EOS by the variational method with coupled‐channel interactions
EOS based on Lattice QCD
Application to Neutron Stars (Togashi)
• Higher partial wave interactions
• Three-baryon interactions
are also need.
By Togashi
![Page 20: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/20.jpg)
• Baryon‐baryon interactions by Lattice QCD• Coupled‐channel interactions are provided explicitly
The cluster variational method is reformulated in second quantization in order to treat hyperons as quasi-particles in the Jastrow wave function.
EOS based on Lattice QCD
(T. Inoue et al., AIP Conf. Proc. 2130 (2019) 020002)
• We try to take into account the mixing of all hyperons. (, )
• Hyperon three-body interaction (HTNI) is added to reproduce 2M◉ neutron stars.
Neutron Star with Λ hyperons
![Page 21: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/21.jpg)
Three‐body force: this is important to subject.in B02 (talked by Sekiguchi san)
Especially it is interesting to investigate study of T=3/2 three‐bodyforce
For the study of three‐body force, tetra‐neutron system is suited.However, it is difficult to conclude whether or not to exist this system.
Second candidate : 5H
![Page 22: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/22.jpg)
Further investigation of T=3/2 force and existence of tetra neutron system
structure of 5H and 7H is one of good candidate.
t+n+n
1/2+
1.7±0.3 MeV
Γ=1.9±0.4 MeV
A. A. Korcheninnikov, et al. Phys. Rev. Lett. 87 (2001) 092501.
transfer reaction p(6He, 2He)5H
n n
nn
p
T=3/2 and T=1/2 three‐body forcescontribute to the energies of5H. 4n+p
![Page 23: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/23.jpg)
[3] A.A. Korosheninnikov et al., PRL87 (2001) 092501[8] S.I. Sidorchuk et al., NPA719 (2003) 13[4] M.S. Golovkov et al. PRC 72 (2005) 064612[5] G. M. Ter-Akopian et al., Eur. Phys. J A25 (2005) 315.
We cited this experiment.However, you have manydifferent decay widths.
Recent exp. Data:A.H. Wuousmaa et al.,PRC95 014310 (2017).(2.4 ±0.3, 5.3±0.4)
![Page 24: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/24.jpg)
n n
nn
p
Two‐body nuclear forceCan reproduce the data of5H?? No three‐body force??
Another system, 7HThe calculation ison going.
![Page 25: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/25.jpg)
(,’) is a sensitive probe for cluster states (p,p’) is a good probe for neutron component of excitations in 𝒁 𝑵 nucleireliable reaction analysis is needed to investigate a variety of nuclear excitations from cross sections data
Background
aim Combination of • Microscopic reaction approach: g-matrix folding • Microscopic structure calculation: Antisymmetrized molecular= cross sections: quantitative, predictive power
No model ambiguity (no adjustable parameters) in reaction partUnified description of different probes: electron, p, α scattering
Direct connection betweenstructure properties and observables(cross sections)
Advantages
‐ Properties of cluster states, Prediction for new cluster state search‐ Neutron and proton contributions in 𝑍 𝑁 unstable nuclei
Cluster excitations probed by proton and alpha inelastic scattering
Y. Kanada‐En’yo with collaborators: K. Ogata, M. Kimura, Y. Chiba, Y. Shikata
Rich cluster phenomena in nuclear excitations
![Page 26: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/26.jpg)
Result 1 ( ’) for 12C(0+3) and 16O(0+3,4)
pp’
’
10Be, 10C0+→2+
16O
first microscopic calculation !Successful reproduction
(p,p’) for 10Be(2+) and 16C(2+) : Result 2
12C+
4
16O*16O
10Be(2+1): isoscalar 2 rotation
10Be(2+2): neutron dominanceexcess neutrons around 2
Different isospin characters
![Page 27: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/27.jpg)
Phase diagram of SU(3) Fermi gases
Trimer phase
Normal phase
Colour superfluid
Tempe
rature
Chemical potential Chemical potential
Tempe
rature
System made of three kinds of fermions with identical masses and pairwise interactions
Calculated the phase diagram:Analogous to Quark Matter phase diagram:
3‐body clustering due to the Efimov effect Hiroyuki Tajima, Pascal Naidon, New Journal of Physics, 21, 073051 (2019)
Efimov effect
Done by Pascal Naidon
![Page 28: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/28.jpg)
Two‐body Potential can de determined by scattering length.Short range part=>repulsiveLong‐distance => attractive
r
atom atom
How about 3‐body system?When we apply 2‐body potential to3‐body system, two‐body potential ambiguity might appear.
![Page 29: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/29.jpg)
Three‐body parameter of 2+1 fermions
Christiane Schmickler, Pascal Naidon, Ludovic Pricoupenko, Emiko Hiyama, in progress (2020)
Mixture of two kinds of fermions
No Efimov effect (ex. Spin ½ electrons)No 3‐body clustering
Equal masses
Mass ratio > 13.6 Efimov effectClustering Three‐body parameter
Mass ratio : 8.2 ‐13.6
No Efimov effectClustering! Three‐body parameter?
Determine the three‐body parameter from microscopic interactions between the fermions
![Page 30: Structure of few‐body exotic systemsbe.nucl.ap.titech.ac.jp/cluster/content/files/2020.05online/workshop... · Tensor force: contribution of tensor force in neutron‐rich nuclei](https://reader036.vdocument.in/reader036/viewer/2022090606/605c1e3dafcff57d97433675/html5/thumbnails/30.jpg)
Key words:
EOS: EOS based on Lattice QCD
Three‐body force, baryon‐baryon interaction: construction by LQCD、three‐body force in hypernuclei:ΛN-ΣN couling
Tensor force: contribution of tensor force in neutron‐rich nucleiHow to form cluster in neutron‐rich nuclei and alsoin exotic hadron system.
Di‐quark, di‐neutron correlation
Universality: ultra cold atomic system, neutron‐rich nuclei
Summary