TENSOR CORRELATION IN He AND Li ISOTOPES BASED ON TENSOR OPTIMIZED SHELL MODEL WITH UNITARY CORRELATION OPERATOR

2009 ◽  
Vol 24 (11) ◽  
pp. 2150-2158
Author(s):  
TAKAYUKI MYO ◽  
KIYOSHI KATŌ ◽  
YUMA KIKUCHI ◽  
HIROSHI TOKI ◽  
KIYOMI IKEDA
Keyword(s):  
Shell Model ◽  
Short Range ◽  
Nuclear Force ◽  
Operator Method ◽  
Pauli Blocking ◽  
New Approach ◽  
Halo Structure ◽  
Tensor Correlation ◽  
Correlation Operator ◽  
Short Range Repulsion

We show the importance of the tensor correlation on the structures of He and Li isotopes. We develop the tensor optimized shell model (TOSM) to describe the strong tensor correlation of the nuclear force in nuclei. We investigate the exotic structures of 9,10,11 Li based on the 9 Li +n+n model where TOSM is used for 9 Li . The coupling between the tensor correlation in 9 Li and the extra two neutrons emerges Pauli-blocking, which increases the s2 component and develops the halo structure in 11 Li . We further treat the short range repulsion of the nuclear force by the unitary correlation operator method (UCOM), while the tensor correlation is described by TOSM. We propose a new approach of TOSM+UCOM to describe nuclei from the nuclear force.

A SYSTEMATIC STUDY OF THE TENSOR CORRELATION IN He AND Li ISOTOPES

2008 ◽  
Vol 23 (27n30) ◽  
pp. 2577-2580
Author(s):  
TAKAYUKI MYO ◽  
HIROSHI TOKI ◽  
SATORU SUGIMOTO ◽  
KIYOSHI KATŌ ◽  
YUMA KIKUCHI ◽  
...  
Keyword(s):  
Nuclear Force ◽  
Operator Method ◽  
Structure Study ◽  
Repulsive Core ◽  
Halo Structure ◽  
Tensor Correlation ◽  
Correlation Operator ◽  
Nuclear Structure Study ◽  
Range Correlation ◽  
New Framework

We investigate the tensor correlations in He and Li isotopes systematically. We propose the tensor-optimized shell model (TOSM) to describe the strong tensor correlation arising from the bare nuclear force in nuclei. Using TOSM for Li isotopes, we investigate the anomalous structures of 9,10,11 Li based on the 9 Li +n+n model where the 9 Li cluster is described by TOSM. As a result, the couplings between the tensor correlation in 9 Li and the extra two neutrons emerge Pauli-blocking, which naturally increases the s2 component to develop the halo structure in 11 Li . We further describe the short-range correlation arising from the repulsive core in the bare nuclear force by the unitary correlation operator method (UCOM). We propose the new framework of TOSM+UCOM for the nuclear structure study starting from the bare nuclear force.

TENSOR OPTIMIZED SHELL MODEL AND HYPERNUCLEI

2010 ◽  
Vol 19 (12) ◽  
pp. 2531-2537
Author(s):  
Hiroshi Toki ◽  
Teruaki Myo ◽  
Kiyomi Ikeda
Keyword(s):  
Nuclear Matter ◽  
Exchange Interaction ◽  
Shell Model ◽  
Short Range ◽  
Operator Method ◽  
Tensor Interaction ◽  
Pion Exchange ◽  
Correlation Operator ◽  
Short Range Repulsion

The pion plays an important role for the structure of nucleus and nuclear matter. We propose a new theoretical framework, named the tensor optimized shell model (TOSM) to calculate the tensor interaction together with the unitary correlation operator method (UCOM) for the short range repulsion. We are able to handle the pion exchange interaction directly in the proposed framework. We compare the calculated results for 4 He with the rigorous calculation to show the power of TOSM to treat the tensor interaction. We then discuss the important role of pion in hypernuclei due to excitation of Σ baryon from Λ state.

TENSOR OPTIMIZED SHELL MODEL AND THE ROLE OF PION IN FINITE NUCLEI

2009 ◽  
Vol 18 (10) ◽  
pp. 2040-2044
Author(s):  
HIROSHI TOKI ◽  
TAKAYUKI MYO ◽  
KIYOMI IKEDA
Keyword(s):  
Nuclear Matter ◽  
Exchange Interaction ◽  
Shell Model ◽  
Short Range ◽  
Operator Method ◽  
Tensor Interaction ◽  
Correlation Operator ◽  
Short Range Repulsion ◽  
Finite Nuclei

The pion plays an important role for the structure of nucleus and nuclear matter. We propose a new theoretical framework, named the tensor optimized shell model (TOSM) to calculate the tensor interaction together with the unitary correlation operator method (UCOM) for the short range repulsion. We are able to handle the pion exchange interaction directly in the proposed framework. We compare the calculated results for 4 He with the rigorous calculation to show the power of TOSM to treat the tensor interaction.

scholarly journals TENSOR OPTIMIZED SHELL MODEL USING BARE INTERACTION FOR LIGHT NUCLEI

2010 ◽  
Vol 25 (21n23) ◽  
pp. 1985-1988
Author(s):  
TAKAYUKI MYO ◽  
HIROSHI TOKI ◽  
KIYOMI IKEDA
Keyword(s):  
Shell Model ◽  
Nuclear Structure ◽  
Short Range ◽  
Operator Method ◽  
Nuclear Interaction ◽  
Light Nuclei ◽  
New Method ◽  
Correlation Operator ◽  
Bare Interaction ◽  
Short Range Correlations

We propose a new method to describe nuclear structure using bare nuclear interaction, in which the tensor and short-range correlations are described by using the tensor optimized shell model (TOSM) and the unitary correlation operator method (UCOM), respectively.

TENSOR OPTIMIZED SHELL MODEL WITH UNITARY CORRELATION OPERATOR USING BARE INTERACTION FOR LIGHT NUCLEI

2009 ◽  
Vol 24 (11n13) ◽  
pp. 847-850
Author(s):  
TAKAYUKI MYO ◽  
HIROSHI TOKI ◽  
KIYOMI IKEDA
Keyword(s):  
Shell Model ◽  
Nuclear Structure ◽  
Theoretical Approach ◽  
Short Range ◽  
Operator Method ◽  
Nuclear Interaction ◽  
Light Nuclei ◽  
Correlation Operator ◽  
Bare Interaction ◽  
Short Range Correlations

We propose a new theoretical approach to calculate nuclear structure using bare nuclear interaction, in which the tensor and short-range correlations are described by using the tensor optimized shell model (TOSM) and the unitary correlation operator method (UCOM), respectively. We compare the obtained results using TOSM+UCOM for 4 He with the rigorous calculation.

The properties of neutron star in the framework of relativistic Hartree–Fock model with unitary correlation operator method

2019 ◽  
Vol 28 (11) ◽  
pp. 1950094 ◽  
Author(s):  
Ying Zhang ◽  
Peng Liu ◽  
Jinniu Hu
Keyword(s):  
Neutron Star ◽  
Equations Of State ◽  
Operator Method ◽  
Nucleon Nucleon ◽  
Neutron Star Matter ◽  
Tensor Correlation ◽  
Correlation Operator ◽  
Hartree Fock ◽  
Unitary Correlation Operator Method ◽  
Strong Repulsion

The properties of neutron star are studied in the framework of relativistic Hartree–Fock (RHF) model with realistic nucleon–nucleon (NN) interactions, i.e., Bonn potentials. The strong repulsion of NN interaction at short range is properly removed by the unitary correlation operator method (UCOM). Meanwhile, the tensor correlation is neglected due to the very rich neutron environment in neutron star, where the total isospin of two nucleons can be approximately regarded as [Formula: see text]. The equations of state of neutron star matter are calculated in [Formula: see text] equilibrium and charge neutrality conditions. The properties of neutron star, such as mass, radius and tidal deformability, are obtained by solving the Tolman–Oppenheimer–Volkoff equation and tidal equation. The maximum masses of neutron from Bonn A, B, C potentials are around [Formula: see text]. The radius are [Formula: see text][Formula: see text]km at [Formula: see text], respectively. The corresponding tidal deformabilities are [Formula: see text]. All of these properties are satisfied with the recent observables from the astronomical and gravitational wave devices and are consistent with the results from the relativistic Brueckner–Hartree–Fock model.

scholarly journals Short-range and tensor correlations in $^{4}$He and $^{8}$Be studied with the antisymmetrized quasi-cluster model

2019 ◽  
Vol 2019 (6) ◽  
Author(s):  
N Itagaki ◽  
H Matsuno ◽  
Y Kanada-En’yo
Keyword(s):  
Cluster Model ◽  
Short Range ◽  
Decisive Role ◽  
Blocking Effect ◽  
Repulsive Core ◽  
Pauli Blocking ◽  
Tensor Correlation ◽  
Coherent Effects ◽  
Middle Range ◽  
Tensor Part

Abstract We apply the tensor version of the antisymmetrized quasi-cluster model (AQCM-T) to $^4\textrm{He}$ and $^8\textrm{Be}$ while focusing on the $NN$ correlations in $\alpha$ clusters. We adopt the $NN$ interactions including realistic ones containing a repulsive core for the central part in addition to the tensor part. In $^4\textrm{He}$, the $pn$ pair in the $^3D$ channel has been known to play a decisive role in the tensor correlation and the framework is capable of treating not only this channel but also the $NN$ correlations in the $^1S$ and $^3S$ channels. In $^8\textrm{Be}$, when two $\alpha$ clusters approach, the $^3D$ pair is suppressed because of the Pauli blocking effect, which also induces a decrease in the $^3S$ component through the $^3S$–$^3D$ coupling. These coherent effects result in the reduction of the attractive effect of the central-even interaction in the middle-range region and keep the distance between two $\alpha$ clusters.

RELATIVISTIC HARTREE-FOCK MODEL WITH SHORT RANGE CORRELATION IN NUCLEAR MATTER

2010 ◽  
Vol 25 (21n23) ◽  
pp. 2008-2009
Author(s):  
J. HU ◽  
H. TOKI ◽  
W. WEN ◽  
H. SHEN
Keyword(s):  
Form Factor ◽  
Nuclear Matter ◽  
Short Range ◽  
Operator Method ◽  
Nucleon Nucleon ◽  
Meson Exchange ◽  
Short Range Correlation ◽  
Correlation Operator ◽  
Hartree Fock ◽  
Range Correlation

We introduce the form factor and short range correlation in the relativistic Hartree-Fock approximation (RHFU) to study the properties of nuclear matter. We treat the short range correlation with the unitary correlation operator method (UCOM). In this framework, we can perfectly reproduce the equation of state of pure neutron matter obtained by the relativistic Brueckner-Hartree-Fock theory with the Bonn potential. We apply the RHFU model to symmetric nuclear matter. The contribution of ρ meson is cut down largely by the form factor of the size in the realistic nucleon-nucleon interaction. The short range correlation has a significant effect on the Fock energies of pion and ρ meson exchange interaction.

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