Statistical learnability of nuclear masses

Statistical Analysis For The Masses

Hyperon masses in nuclear matter.

We analyze hyperon and nucleon mass shifts in nuclear matter using chiral perturbation theory. Expressions for the mass shifts that include strong interaction effects at leading order in the density are derived. Corrections to our results are suppressed by powers of the Fermi momentum divided by either the chiral symmetry breaking scale or the nucleon mass. Our work is relevant for neutron star...

Odd-Even Staggering of Nuclear Masses: Pairing

The odd-even staggering of nuclear masses was recognized in the early days of nuclear physics. Recently, a similar e ect was discovered in other nite fermion systems, such as ultrasmall metallic grains and metal clusters. It is believed that the staggering in nuclei and grains is primarily due to pairing correlations (superconductivity), while in clusters it is caused by the Jahn-Teller e ect. ...

Nuclear masses: evidence of order-chaos coexistence.

Shell corrections are important in the determination of nuclear ground-state masses and shapes. Although general arguments favor a regular single-particle dynamics, symmetry breaking and the presence of chaotic layers cannot be excluded. The latter provide a natural framework that explains the observed differences between experimental and computed masses.

Regularity and chaos in the nuclear masses

Shell effects in atomic nuclei are a quantum mechanical manifestation of the single–particle motion of the nucleons. They are directly related to the structure and fluctuations of the single–particle spectrum. Our understanding of these fluctuations and of their connections with the regular or chaotic nature of the nucleonic motion has greatly increased in the last decades. In the first part of...