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Tensor-force effects on nuclear matter in relativistic ab initio theory

Tensor-force effects on nuclear matter in relativistic ab initio theory
The binding energies per particle for (a) symmetric nuclear matter (SNM) and (b) pure neutron matter (PNM) calculated with (solid lines and full symbols) and without (dotted lines and empty symbols) tensor forces. (c) The symmetry energy difference obtained by performing the RBHF calculations with and without tensor force. Credit: Science China Press

Tensor force is a crucial ingredient of the nucleon-nucleon (NN) interaction, and has an important impact on the structural and dynamical properties of the nuclear many-body system. Many efforts have been devoted to studying the influence of the tensor force in the effective NN interaction in the nuclear medium. But less is known about the tensor-force effects from realistic NN interactions.

Starting from realistic NN interaction, the authors systematically study the tensor-force effects on the equation of state and symmetry of nuclear matter within the relativistic Brueckner-Hartree-Fock (RBHF) theory, which is one of the most important relativistic ab initio methods. For the binding energies per particle of symmetric nuclear matter (SNM) and the symmetry energy, the tensor-force effects are attractive and are more pronounced around the empirical saturation density. For pure neutron matter, the tensor- force effects are marginal.

This study also shows that the strong tensor force makes the neutron-proton system deviate from the unitary limit. By tuning the tensor-force strength, the dilute SNM is located at the unitary limit. With only the interaction in the 3S1–3D1 channel considered, the ground-state energy of dilute SNM is found proportional to that of a free Fermi gas with a scaling factor 0.38, which reveals good universal properties for four-component unitary Fermi gas (spin-1/2 and isospin-1/2).

Tensor-force effects on nuclear matter in relativistic ab initio theory
(a) The dimensionless ratio of the effective range rt to the scattering length at in spin triplet (left axis) and the binding energy for the deuteron Bd (right axis) with variation of the tensor force quenching factor λ . The upper (lower) horizontal dashed line denotes the locale of the unitary (bound) limit. (b) The ground-state energy per particle for SNM calculated with Bonn A, B, and C, where the scattering length at in spin-triplet channel is tuned to −100 fm. Only contributions from the 3S1-3D1 channel are considered. The results of a free Fermi gas with a scaling factor 0.38 is also displayed for comparison. Credit: Science China Press

This work paves the way to study the tensor-force effects in as well as finite nuclei from realistic nucleon-nucleon interactions. This work also highlights the role of the force in the deviation of nuclear physics to the unitary limit and provides a valuable reference for studies of the four-component unitary Fermi gas.

The work is published in the journal Science Bulletin.

This study was led by Prof. Jie Meng (State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University). Numerical modeling and theoretical analyses were conducted mainly by Dr. Sibo Wang (Department of Physics and Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University).

More information: Sibo Wang et al, Tensor-force effects on nuclear matter in relativistic ab initio theory, Science Bulletin (2024). DOI: 10.1016/j.scib.2024.05.013

Citation: Tensor-force effects on nuclear matter in relativistic ab initio theory (2024, July 9) retrieved 16 July 2024 from
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