JANUARY 1995 | R. B. Wiringa, V. G. J. Stoks, R. Schiavilla
The paper presents a new high-quality nucleon-nucleon potential, Argonne v18, which includes charge dependence and asymmetry. This potential is constructed to accurately describe both pp and np scattering data, as well as low-energy nn scattering and deuteron binding energy. The model incorporates a charge-independent part with 14 operator components and a charge-independence breaking part with three charge-dependent and one charge-asymmetric operator. It also includes a complete electromagnetic interaction, including Coulomb, Darwin-Foldy, vacuum polarization, and magnetic moment terms. The potential is directly fitted to the Nijmegen pp and np scattering database, low-energy nn scattering parameters, and deuteron binding energy, yielding a χ² per datum of 1.09 for 4301 pp and np data in the range 0–350 MeV.
The potential is designed to address the issue of charge-independence breaking in the strong interaction, which is a fundamental problem in nucleon-nucleon potentials. The model is constructed to accurately reproduce both np and pp scattering parameters, which are crucial for applications such as thermal neutron radiative capture and weak capture processes. The potential is also important for the formulation of three-nucleon (NNN) potentials, as it helps to account for the missing binding energy in nuclei that are underbound using only NN potentials.
The potential is expressed in an operator format that depends on the values of S, T, and Tz of the NN pair. It is projected into charge-independent (CI), charge-dependent (CD), and charge-asymmetric (CA) parts. The CI part is used in T = 0 systems, while the CD and CA parts are relevant for systems with T ≥ 1/2 and T ≥ 1, respectively. The model also includes a complete electromagnetic potential, which is important for studying charge-symmetry breaking, such as the ³H-³He mass difference and the Nolen-Schiffer anomaly.
The potential is tested against experimental data and compared to other models, showing good agreement with experimental results. The model is also used to study the deuteron properties, including its binding energy, radius, magnetic moment, and quadrupole moment. The results show that the model accurately reproduces the experimental data, with some discrepancies in the quadrupole moment and the tensor polarization.
The paper concludes that the Argonne v18 potential is a promising model for use in nuclear many-body theory, as it provides an excellent fit to pp and np scattering data, as well as to low-energy nn scattering and deuteron binding energy. The potential has a weaker tensor force, which may lead to more binding in light nuclei and less rapid saturation in nuclear matter. The model is also useful for studying three-nucleon systems and for applications in nuclear physics.The paper presents a new high-quality nucleon-nucleon potential, Argonne v18, which includes charge dependence and asymmetry. This potential is constructed to accurately describe both pp and np scattering data, as well as low-energy nn scattering and deuteron binding energy. The model incorporates a charge-independent part with 14 operator components and a charge-independence breaking part with three charge-dependent and one charge-asymmetric operator. It also includes a complete electromagnetic interaction, including Coulomb, Darwin-Foldy, vacuum polarization, and magnetic moment terms. The potential is directly fitted to the Nijmegen pp and np scattering database, low-energy nn scattering parameters, and deuteron binding energy, yielding a χ² per datum of 1.09 for 4301 pp and np data in the range 0–350 MeV.
The potential is designed to address the issue of charge-independence breaking in the strong interaction, which is a fundamental problem in nucleon-nucleon potentials. The model is constructed to accurately reproduce both np and pp scattering parameters, which are crucial for applications such as thermal neutron radiative capture and weak capture processes. The potential is also important for the formulation of three-nucleon (NNN) potentials, as it helps to account for the missing binding energy in nuclei that are underbound using only NN potentials.
The potential is expressed in an operator format that depends on the values of S, T, and Tz of the NN pair. It is projected into charge-independent (CI), charge-dependent (CD), and charge-asymmetric (CA) parts. The CI part is used in T = 0 systems, while the CD and CA parts are relevant for systems with T ≥ 1/2 and T ≥ 1, respectively. The model also includes a complete electromagnetic potential, which is important for studying charge-symmetry breaking, such as the ³H-³He mass difference and the Nolen-Schiffer anomaly.
The potential is tested against experimental data and compared to other models, showing good agreement with experimental results. The model is also used to study the deuteron properties, including its binding energy, radius, magnetic moment, and quadrupole moment. The results show that the model accurately reproduces the experimental data, with some discrepancies in the quadrupole moment and the tensor polarization.
The paper concludes that the Argonne v18 potential is a promising model for use in nuclear many-body theory, as it provides an excellent fit to pp and np scattering data, as well as to low-energy nn scattering and deuteron binding energy. The potential has a weaker tensor force, which may lead to more binding in light nuclei and less rapid saturation in nuclear matter. The model is also useful for studying three-nucleon systems and for applications in nuclear physics.