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In non-relativistic Brueckner calculations of nuclear matter, the self-consistent single particle potential is strongly momentum dependent. To simplify the calculations, a parabolic approximation is often used in the literature. The…

Nuclear Theory · Physics 2009-11-06 M. Baldo , A. Fiasconaro

The Debye screening masses of the $\sigma$, $\omega$ and neutral $\rho$ mesons and the photon are calculated in the relativistic mean-field approximation. As the density of the nucleon increases, all the screening masses of mesons increase.…

Nuclear Theory · Physics 2009-11-07 Bao-Xi Sun , Xiao-Fu Lu , Peng-Nian Shen , En-Guang Zhao

The relativistic density functional with minimal density dependent nucleon-meson couplings for nuclei and nuclear matter is extended to include tensor couplings of the nucleons to the vector mesons. The dependence of the minimal couplings…

Nuclear Theory · Physics 2020-07-15 Stefan Typel , Diana Alvear Terrero

Relativistic Brueckner-Hartree-Fock (RBHF) theory in the full Dirac space allows one to determine uniquely the momentum dependence of scalar and vector components of the single-particle potentials. In order to extend this new method from…

Nuclear Theory · Physics 2023-03-15 Hui Tong , Jing Gao , Chencan Wang , Sibo Wang

Including nucleon--nucleon correlations due to both Fermi statistics and nuclear forces, we have developed a general formalism for calculating the charged--current neutrino--nucleon absorption rates in nuclear matter. We find that at one…

Astrophysics · Physics 2008-11-26 Adam Burrows , R. F. Sawyer

Effective Lagrangians suitable for a relativistic Hartree-Fock description of nuclear systems are presented. They include the 4 effective mesons $\sigma, \omega, \rho$ and $\pi$ with density-dependent meson-nucleon couplings. The criteria…

Nuclear Theory · Physics 2007-05-23 Wen Hui Long , Nguyen Van Giai , Jie Meng

We calculate the equation of state of isospin-symmetric nuclear matter in the three-loop approximation of chiral perturbation theory. The contributions to the energy per particle $\bar E(k_f)$ from one- and two-pion exchange diagrams are…

Nuclear Theory · Physics 2009-11-07 N. Kaiser , S. Fritsch , W. Weise

In this work we investigate the so-called model-space Brueckner-Hartree-Fock (MBHF) approach for nuclear matter as well as for neutron matter and the extension of this which includes the particle-particle and hole-hole (PPHH) diagrams. A…

Nuclear Theory · Physics 2009-10-30 L. Engvik , E. Osnes , M. Hjorth-Jensen , T. T. S. Kuo

The symmetric nuclear matter and pure neutron matter are investigated by the relativistic Brueckner-Hartree-Fock (RBHF) theory with the covariant chiral nuclear forces up to the next-to-leading order~(NLO). A fitting scheme to ensure the…

Nuclear Theory · Physics 2025-06-24 Wei-Jiang Zou , Yi-Long Yang , Jun-Xu Lu , Peng-Wei Zhao , Li-Sheng Geng , Jie Meng

Symmetric nuclear matter is studied within the conserving, self-consistent T-matrix approximation. This approach involves off-shell propagation of nucleons in the ladder diagrams. The binding energy receives contributions from the…

Nuclear Theory · Physics 2007-05-23 P. Bozek

We study neutron matter at and near the unitary limit using a low-momentum ring diagram approach. By slightly tuning the meson-exchange CD-Bonn potential, neutron-neutron potentials with various $^1S_0$ scattering lengths such as…

Nuclear Theory · Physics 2008-11-26 L. -W. Siu , T. T. S. Kuo , R. Machleidt

We review a large body of predictions obtained within the framework of relativistic meson theory together with the Dirac-Brueckner-Hartree-Fock approach to nuclear matter and finite nuclei. The success of this method has been largely…

Nuclear Theory · Physics 2017-01-12 Herbert Müther , Francesca Sammarruca , Zhongyu Ma

We develop a relativistic model to describe the bound states of positive energy and negative energy in finite nuclei at the same time. Instead of searching for the negative-energy solution of the nucleon's Dirac equation, we solve the Dirac…

Nuclear Theory · Physics 2016-08-15 G. Mao , H. Stöcker , W. Greiner

Using the two-loop approximation of chiral perturbation theory, we calculate the momentum and density dependent single particle potential of nucleons in isospin-symmetric nuclear matter. The contributions from one- and two-pion exchange…

Nuclear Theory · Physics 2009-11-07 N. Kaiser S. Fritsch , W. Weise

We present a fully self-consistent and relativistic calculation of the nucleon mean free path in nuclear matter and finite nuclei. Starting from the Bonn potential, the Dirac-Brueckner-Hartree-Fock results for nuclear matter are…

Nuclear Theory · Physics 2011-07-19 G. Q. Li , R. Machleidt , Y. Z. Zhuo

Once density-dependent meson masses are introduced into the nuclear many-body problem, conventional mechanisms for saturation no longer operate. We suggest that a loop correction, essentially the introduction of the axial vector coupling…

Nuclear Theory · Physics 2007-05-23 G. E. Brown , R. Machleidt

The equations of state for symmetric nuclear matter and pure neutron matter are investigated with the tensor-optimized Fermi Sphere method (TOFS) up to the density $\rho=0.5$~fm$^{-3}$. This method is based on a linked-cluster expansion…

Nuclear Theory · Physics 2024-03-19 Taiichi Yamada

The long-standing controversy about the isospin dependence of the effective Dirac mass in ab initio calculations of asymmetric nuclear matter is clarified by solving the relativistic Brueckner-Hartree-Fock equations in the full Dirac space.…

Nuclear Theory · Physics 2022-08-30 Sibo Wang , Hui Tong , Qiang Zhao , Chencan Wang , Peter Ring , Jie Meng

A key point of Dirac Brueckner Hartree Fock calculations for nuclear matter is to decompose the self energy of the nucleons into Lorentz scalar and vector components. A new method is introduced for this decomposition. It is based on the…

Nuclear Theory · Physics 2014-11-18 H. Müther , S. Ulrych , H. Toki

We present a relativistic chiral effective theory for symmetric and asymmetric nuclear matter taken in the Hartree-Fock scheme. The nuclear binding is insured by a background chiral invariant scalar field associated with the radial…

Nuclear Theory · Physics 2008-12-18 E. Massot , G. Chanfray