Finite particle number description of neutron matter using the unitary correlation operator and high-momentum pair methods *

Wan, Niu; Myo, Takayuki; Xu, Chang; Toki, H.; Horiuchi, Hisashi; Lyu, Mengjiao

doi:10.1088/1674-1137/abb4d1

Cited by 10 publications

(10 citation statements)

References 81 publications

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“…[16,17]. This technique has been applied to the calculations of both finite nuclei [16,17,18,20,19] and nuclear matters [21,22]. Hybridizing the TOAMD and HM-AMD methods, the "Tensor-optimized High-momentum Antisymmetrized Molecular Dynamics" (TO-HMAMD) approach is formulated, which also provides the same quality of the nuclear properties of 3 H [23] and 4 He [24] as other ab initio calculations in TOAMD or GFMC frameworks.…”

Section: Introductionmentioning

confidence: 99%

High-momentum components in the 4He nucleus caused by inter-nucleon correlations

et al. 2020

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High-momentum components of nuclei are essential for understanding the underlying inter-nucleon correlations in nuclei. We perform the comprehensive analysis for the origin of the high-momentum components of 4 He in the framework of Tensor-optimized High-momentum Antisymmetrized Molecular Dynamics (TO-HMAMD), which is a completely variational approach as an ab initio theory starting from the bare nucleon-nucleon interaction. The analytical derivations are provided for the nucleon momentum distribution of the Antisymmetrized Momentum Dynamics (AMD) wave functions, with subtraction of center-of-mass motion. The nucleon momentum distribution for 4 He is calculated by applying a new expansion technique to our ab initio wave function, and agrees with the experimental data up to the high-momentum region. Fine-grained analysis is performed for the high-momentum components in 4 He with respect to different nucleon correlations. Contributions from tensor, central with short-range, and many-body correlations are extracted from the nucleon momentum distributions. The manifestation of tensor correlation around 2 fm −1 region is explicitly confirmed by comparing the momentum distributions predicted using different types of N N interactions with and without the tensor force.

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Section: Introductionmentioning

confidence: 99%

High-momentum components in the 4He nucleus caused by inter-nucleon correlations

et al. 2020

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“…The symmetric nuclear matter is described by the finite particle-number approach, where the periodical boundary condition is employed for the single-nucleon wave function as φ(r) = φ(r + Lx). Under this description, the infinite nuclear matter can be divided into identical cubic boxes with finite size L. The 0p0h state of the cubic box is defined by the Slater determinant as [64,65]…”

Section: B 2p2h Excitation Modes and Total Wave Functionmentioning

confidence: 99%

“…The HM component in symmetric nuclear matter is described by introducing 2p2h excitations of nucleon pairs, which can be written as [64,65]…”

Section: B 2p2h Excitation Modes and Total Wave Functionmentioning

confidence: 99%

“…In our recent works [64,65], the properties of nuclear matter are studied from bare N N interactions by employing UCOM to treat the short-range correlation and introducing the 2p2h excitations of the HM pairs to describe the tensor correlation and spin-orbit coupling. This new developed method is named as UCOM+HM.…”

Section: Introductionmentioning

confidence: 99%

“…The obtained results are in good agreement with those of other popular theories, indicating the efficient treatment of the short-range correlation by UCOM. By employing AV6' and AV8' potentials including the tensor force, the effects of the short-range correlation, the tensor correlation, and the spin-orbit couplings on the EoS of neutron matter are investigated [65]. In this paper, we will concentrate on the properties of the symmetric nuclear matter by including the tensor correlation.…”

Section: Introductionmentioning

confidence: 99%

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Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by tensor force

Wan,

Myo,

Takemoto

et al. 2022

Preprint

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We study the symmetric nuclear matter using bare nucleon-nucleon (N N ) interactions with finite particle-number approach within finite cubic boxes. Due to the N N correlations originating from bare N N interaction, two nucleons can be excited to the high-momentum region, leading to the increase of the kinetic energy in nuclear matter. We further consider the spin excitations in the nucleon pairs, where the spin of the two nucleons are changed, and this excitation is important for the tensor correlation. The unitary correlation operator method (UCOM) is used to treat the shortrange correlation. The tail correction coming from the neighbouring boxes is also included. We demonstrate the contributions of various excitations of nucleon pairs as well as the tail correction to the total energy at the normal density. We also discuss the effects of UCOM and correlated nucleon pairs on the density dependence of the total energy. We calculate the equations of state of symmetric nuclear matter using two kinds of the Argonne potentials and the results agree with those from other many-body theories. The density dependences of the Hamiltonian components are also shown.

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Pion Exchange Interaction in Bonn Potential and Relativistic and Non-relativistic Framework in Nuclear Matter

Wang

2022

Handbook of Nuclear Physics

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As the residual interaction of quantum chromodynamics in low-energy region, the nucleon-nucleon (NN) potential can only be exactly described by the model picture now. In the Bonn potential, one of the most well-known NN interaction models, the nucleons interact with each other through exchanging the pion and several heavier mesons, where the pion plays an essential role. It provides a partial contribution of tensor force in the intermediate-range region and the main component in the long-range region in NN potential. However, it is very difficult to be treated in the nuclear many-body system due to its pseudovector or pseudoscalar property. Recently, three high-precision charge-dependent Bonn potentials were proposed with pseudovector coupling types and different pion-nucleon coupling strengths and applied them to study the properties of nuclear matter and neutron stars in the non-relativistic and relativistic frameworks. Furthermore, to properly deal with the strong short-range repulsion and tensor force of the NN potential, some new relativistic ab initio methods have also been developed in the past decade to discuss the role of pion and relativistic effects in nuclear matter.

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Finite particle number description of neutron matter using the unitary correlation operator and high-momentum pair methods *

Cited by 10 publications

References 81 publications

High-momentum components in the 4He nucleus caused by inter-nucleon correlations

High-momentum components in the 4He nucleus caused by inter-nucleon correlations

Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by tensor force

Pion Exchange Interaction in Bonn Potential and Relativistic and Non-relativistic Framework in Nuclear Matter

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