Leading order relativistic chiral nucleon-nucleon interaction

Ren, Xiu-Lei; Li, Kaiwen; Geng, Li-Sheng; Long, Bingwei; Ring, P.; Meng, J.

doi:10.1088/1674-1137/42/1/014103

Cited by 82 publications

(94 citation statements)

References 99 publications

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“…Therefore, efforts to develop relativistic chiral NN interactions are also highly demanded and work in this direction is in progress [71,72]. Of course, one needs in this context a new power counting system [71], because in a relativistic theory all the terms of the 1/M-expansion are summed up automatically. In the leading order of the relativistic chiral interaction, a much better description of the 1 S 0 and 3 P 0 phase shifts was achieved comparing with the nonrelativistic case, and descriptions in other partial waves are similar to non-relativistic case [71].…”

Section: Summary and Perspectivesmentioning

confidence: 99%

Towards an ab initio covariant density functional theory for nuclear structure

Shen

Liang

Long

et al. 2019

Progress in Particle and Nuclear Physics

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105

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Nuclear structure models built from phenomenological mean fields, the effective nucleon-nucleon interactions (or Lagrangians), and the realistic bare nucleon-nucleon interactions are reviewed. The success of covariant density functional theory (CDFT) to describe nuclear properties and its influence on Brueckner theory within the relativistic framework are focused upon. The challenges and ambiguities of predictions for unstable nuclei without data or for high-density nuclear matter, arising from relativistic density functionals, are discussed. The basic ideas in building an ab initio relativistic density functional for nuclear structure from ab initio calculations with realistic nucleon-nucleon interactions for both nuclear matter and finite nuclei are presented. The current status of fully self-consistent relativistic Brueckner-Hartree-Fock (RBHF) calculations for finite nuclei or neutron drops (ideal systems composed of a finite number of neutrons and confined within an external field) is reviewed. The guidance and perspectives towards an ab initio covariant density functional theory for nuclear structure derived from the RBHF results are provided. Summary and Perspectives 521. Introduction Brief introduction on nuclear theoryThe discoveries of radioactivity by Becquerel [1] and the Curies [2, 3] and the existence of a compact nucleus at the center of an atom by Rutherford et al. [4] opened the door of nuclear physics. During the hundred years of development in nuclear physics, there emerged several significant milestones, including the discovery of the neutron by Chadwick [5] which verified the composition of the nucleus as protons and neutrons, the meson-exchange theory for the strong interaction between nucleons by Yukawa [6], the independent-particle shell model of the nucleus by Goeppert-Mayer [7], Haxel, Jensen, and Suess [8], and the collective Hamiltonian for nuclear rotation and vibration by Rainwater [9], Bohr and Mottelson [10,11], etc.With the understanding of the composition of a nucleus as protons and neutrons [5] and the meson-exchange theory for the strong interaction between the nucleons [6], nuclear physicists hoped to describe the nucleus, a quantum many-body system, from the underlying nucleon-nucleon interaction. Euler, a student of Heisenberg, assumed the nuclear force as a two-body (2N) interaction with a Gaussian shape and calculated the infinite nuclear system, i.e., homogeneous nuclear matter, using second-order perturbation theory [12]. However, the strong repulsive core of the realistic nuclear force [13] prevents the application of perturbation theory.On the other hand, the nuclear structure model with a phenomenological mean field achieved great success. Goeppert-Mayer [7], Haxel, Jensen, and Suess [8] introduced a strong spin-orbit potential and proposed the nuclear independentparticle shell model that successfully explained the conventional magic numbers in nuclei. Rainwater [9], Bohr and Mottelson [10, 11] explored the nuclear deformation and proposed the nuclear collective mode...

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Section: Summary and Perspectivesmentioning

confidence: 99%

Towards an ab initio covariant density functional theory for nuclear structure

Shen

Liang

Long

et al. 2019

Progress in Particle and Nuclear Physics

Self Cite

105

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“…Here we resort to a simple Gaussian cutoff exp(− p 2n /Λ 2n ) to suppress the higher momentum contributions, as in Ref. [22,24,33]. We use n = 2 as in Ref.…”

Section: B Potentials In Coordinate Spacementioning

confidence: 99%

“…We use n = 2 as in Ref. [33]. In the nucleon-nucleon ChEFT, the value of cutoff parameter is commonly below the ρ meson mass [30], and therefore we adopt Λ = 0.7 GeV in our work.…”

Section: B Potentials In Coordinate Spacementioning

confidence: 99%

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DD* potentials in chiral effective field theory and possible molecular states

Wang

Liu

et al. 2019

Phys. Rev. D

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The DD * potentials are studied within the framework of heavy meson chiral effective field theory. We have obtained the effective potentials of the DD * system up to O(ǫ 2 ) at one loop level. In addition to the one-pion exchange contribution, the contact and two-pion exchange interactions are also investigated in detail. Furthermore, we have searched for the possible molecular states by solving Schrödinger equation with the potentials. We notice that the contact and two-pion exchange potentials are non-negligible numerically and important for the existence of a bound state. In our results, no bound state is founded in the I = 0 channel within a wide range of cutoff parameter, while there exists a bound state in the I = 1 channel as cutoff is near m ρ in our approach.

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“…[38] at leading order in nonrelativistic χEFT. Recently calculations within leading order covariant χEFT have been performed for Y N interactions in the strangeness sector [39][40][41][42][43] with comparable results, see also Ref. [44].…”

mentioning

confidence: 79%

Hyperon-Nuclear Interactions From SU(3) Chiral Effective Field Theory

Petschauer¹,

Haidenbauer²,

Kaiser³

et al. 2020

Front. Phys.

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The interaction between hyperons and nucleons has a wide range of applications in strangeness nuclear physics and is a topic of continuing great interest. These interactions are not only important for hyperon-nucleon scattering but also essential as basic input to studies of hyperon-nuclear fewand many-body systems including hypernuclei and neutron star matter. We review the systematic derivation and construction of such baryonic forces from the symmetries of quantum chromodynamics within non-relativistic SU(3) chiral effective field theory. Several applications of the resulting potentials are presented for topics of current interest in strangeness nuclear physics.Recently an alternative NLO χEFT potential for Y N

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Leading order relativistic chiral nucleon-nucleon interaction

Cited by 82 publications

References 99 publications

Towards an ab initio covariant density functional theory for nuclear structure

Towards an ab initio covariant density functional theory for nuclear structure

DD* potentials in chiral effective field theory and possible molecular states

Hyperon-Nuclear Interactions From SU(3) Chiral Effective Field Theory

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