TENSOR OPTIMIZED SHELL MODEL AND THE ROLE OF PION IN 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. We then discuss the important role of pion in hypernuclei due to excitation of Σ baryon from Λ state.

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

International Journal of Modern Physics A ◽

10.1142/s0217751x0904573x ◽

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.

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TENSOR OPTIMIZED SHELL MODEL USING BARE INTERACTION FOR LIGHT NUCLEI

Modern Physics Letters A ◽

10.1142/s0217732310000800 ◽

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.

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SATURATION PROPERTIES OF NUCLEAR MATTER AND CORRELATED NUCLEONS

International Journal of Modern Physics B ◽

10.1142/s0217979203020272 ◽

2003 ◽

Vol 17 (28) ◽

pp. 5151-5161

Author(s):

W. H. DICKHOFF ◽

E. P. ROTH

Keyword(s):

Nuclear Matter ◽

Short Range ◽

Recent Experimental Data ◽

Spectral Functions ◽

Full Inclusion ◽

Long Range Correlations ◽

Saturation Properties ◽

Particle Strength ◽

Finite Nuclei

A brief overview is given of the properties of spectral functions in finite nuclei as obtained from ( e,e ′ p ) experiments. Based on recent experimental data from this reaction it is argued that the empirical value of the saturation density of nuclear matter is dominated by short-range correlations. This observation and the observed fragmentation and depletion of the single-particle strength in nuclei provide the motivation for attempting a self-consistent description of the nucleon spectral functions with full inclusion of short-range and tensor correlations in nuclear matter. Results for these "second generation" spectral functions will be discussed with emphasis on the consequences for the saturation properties of nuclear matter. Arguments are presented to clarify the obscuring role of pionic long-range correlations in this long-standing problem.

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

Modern Physics Letters A ◽

10.1142/s0217732309000140 ◽

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.

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

Modern Physics Letters A ◽

10.1142/s0217732310000885 ◽

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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On the single-particle-energy spectrum of a Λ particle in nuclear matter

Canadian Journal of Physics ◽

10.1139/p70-348 ◽

1970 ◽

Vol 48 (23) ◽

pp. 2804-2808 ◽

Cited By ~ 7

Author(s):

K. F. Chong ◽

Y. Nogami ◽

E. Satoh

Keyword(s):

Energy Spectrum ◽

Nuclear Matter ◽

Single Particle ◽

Short Range ◽

Particle Energy ◽

Pair Approximation ◽

Single Particle Energy ◽

Short Range Repulsion ◽

Separable Potentials ◽

Independent Pair

The single-particle-energy spectrum of a Λ particle in nuclear matter is examined in the independent-pair approximation, by assuming nonlocal separable potentials for the ΛN interaction. Effects of short-range repulsion in the ΛN interaction on the Λ binding are also examined in terms of separable potentials of rank two.

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