Основні поняття
The study systematically compares 17 high-precision nucleon-nucleon (NN) interaction potentials, including AV18, CD-Bonn, pvCD-Bonn, and chiral effective field theory models, in terms of scattering phase shifts, differential cross sections, entanglement properties, and nuclear matter equations of state.
Анотація
This study provides a comprehensive comparison of 17 state-of-the-art nucleon-nucleon (NN) interaction potentials. The key highlights are:
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Phase Shift Analysis:
- The phase shifts for np (T=1), nn (T=1), and pp channels are calculated and compared across the 17 potentials.
- For channels with angular momentum l<3, the potentials yield consistent results at low incident energies, but deviations emerge at higher energies, especially for the chiral potentials with smaller cutoff values.
- Significant discrepancies are observed in the F-wave channels between the chiral potentials and partial wave analysis results, particularly at energies above 200 MeV.
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Differential Cross Sections:
- The differential cross sections for pp scattering are computed and compared to experimental data at various incident energies.
- At lower energies (e.g., 50 MeV), the potentials produce nearly identical results that agree well with experiments.
- At higher energies (e.g., 212 MeV and 284 MeV), the chiral potentials that do not accurately describe the F-channels exhibit significant deviations from experimental data, especially at forward and backward scattering angles.
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Entanglement Analysis:
- The entanglement power of the scattering matrix, which quantifies the averaged entanglement ability, is calculated for the np (T=0) channel.
- The entanglement powers from the 17 potentials show small differences, as the phase shifts for the 1S0 and 3S1 states are well-determined.
- The pvCD-Bonn A potential exhibits the minimum entanglement power and is most consistent with the partial wave analysis results.
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Nuclear Matter Equations of State:
- The study also explores the equations of state for symmetric nuclear matter and pure neutron matter using the 17 NN potentials.
- Significant differences are observed among the potentials, especially in the high-density regions.
Overall, this work provides a detailed and systematic comparison of state-of-the-art NN interaction potentials, highlighting their strengths, weaknesses, and differences across various observables. The findings have important implications for nuclear structure and nuclear astrophysics studies.
Статистика
The phase shifts of various interaction potentials in the np 1S0 channel at different incident energies are provided in Table I.
The phase shifts of various interaction potentials in the np 3S1 channel at different incident energies are provided in Table II.
The phase shifts of various interaction potentials in the pp 1S0 channel at different incident energies are provided in Table IV.
Цитати
"The nucleon-nucleon (NN) interaction is a fundamental aspect of nuclear physics, governing the intricate quantum behavior of protons and neutrons within atomic nuclei."
"Recent contributions from the Granada group have explored phase shifts with delta potentials, addressing associated uncertainties."
"Over the past 20 years, significant advances have been achieved in understanding baryon-baryon interactions, particularly NN potentials, through lattice QCD simulations."