Accurate nucleon-nucleon potential with charge-independence breaking

Accurate nucleon-nucleon potential with charge-independence breaking

VOLUME 51, NUMBER 1 JANUARY 1995 | R. B. Wiringa, V. G. J. Stoks, R. Schiavilla
The paper presents a new high-quality nucleon-nucleon (NN) potential, designated as Argonne $v_{18}$, which explicitly includes charge dependence and charge asymmetry. The potential is an updated version of the Argonne $v_{14}$ model, incorporating three additional charge-dependent and one charge-asymmetric operators, along with a complete electromagnetic interaction. It is fitted to the Nijmegen $pp$ and $np$ scattering database, low-energy $nn$ scattering parameters, and deuteron binding energy. The model has 40 adjustable parameters and achieves a $\chi^2$ per datum of 1.09 for 4301 $pp$ and $np$ data in the range 0–350 MeV. The potential is projected into charge-independent, charge-dependent, and charge-asymmetric parts, with the CI part serving as a reference for building three-nucleon (NNN) potentials. The CA part contributes to mirror nucleus energy differences, while the CD part affects isobaric analog states. The deuteron properties, including binding energy, radius, magnetic moment, and quadrupole moment, are calculated and compared to experimental values. The model shows a weaker tensor force and a moderately greater attraction in $P$ waves compared to the older Argonne $v_{14}$ model, which may lead to more binding in light nuclei and less rapid saturation in nuclear matter. Initial calculations of few-body nuclei suggest a slight reduction in binding energies for $^2\text{H}$ and $^4\text{He}$, but significant improvements in the stability of $^{16}\text{O}$ and $^4\text{He}$. The Argonne $v_{18}$ potential is expected to have a promising future in microscopic nuclear many-body theory.The paper presents a new high-quality nucleon-nucleon (NN) potential, designated as Argonne $v_{18}$, which explicitly includes charge dependence and charge asymmetry. The potential is an updated version of the Argonne $v_{14}$ model, incorporating three additional charge-dependent and one charge-asymmetric operators, along with a complete electromagnetic interaction. It is fitted to the Nijmegen $pp$ and $np$ scattering database, low-energy $nn$ scattering parameters, and deuteron binding energy. The model has 40 adjustable parameters and achieves a $\chi^2$ per datum of 1.09 for 4301 $pp$ and $np$ data in the range 0–350 MeV. The potential is projected into charge-independent, charge-dependent, and charge-asymmetric parts, with the CI part serving as a reference for building three-nucleon (NNN) potentials. The CA part contributes to mirror nucleus energy differences, while the CD part affects isobaric analog states. The deuteron properties, including binding energy, radius, magnetic moment, and quadrupole moment, are calculated and compared to experimental values. The model shows a weaker tensor force and a moderately greater attraction in $P$ waves compared to the older Argonne $v_{14}$ model, which may lead to more binding in light nuclei and less rapid saturation in nuclear matter. Initial calculations of few-body nuclei suggest a slight reduction in binding energies for $^2\text{H}$ and $^4\text{He}$, but significant improvements in the stability of $^{16}\text{O}$ and $^4\text{He}$. The Argonne $v_{18}$ potential is expected to have a promising future in microscopic nuclear many-body theory.
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[slides and audio] Accurate nucleon-nucleon potential with charge-independence breaking.