PaperPanorama

Nuclear Theory·nucl-th

Tuesday·March 24, 2020

8 papers3 primary·5 cross-listed

  1. 02

    Multi-fermion systems with contact theories

    Martin Schäfer🇨🇿 · Lorenzo Contessi🇮🇱 · Johannes Kirscher🇬🇧 · Jiří Mareš🇨🇿

    We address the question of minimal requirements for the existence of quantum bound states. In particular, we demonstrate that a few-body system with zero-range momentum-independent two-body interactions is unstable against decay into clusters, if mixed-symmetry of its wave function is enforced. We claim that any theory in which the two-body scattering length is much larger than any other scale involved exhibits such instability. We exemplify this with the inability of the leading-order pionless effective field theory to describe stable states of nuclei. A finite interaction range is identified as a sufficient condition for a bound mixed-symmetry system. The minimal value of this range depends on the proximity of a system to unitarity, on the number of constituents, and on the particular realization of discrete scale invariance of the three-body spectrum.

    nucl-thphysics.atm-clusphysics.atom-phPLB(2021)·11 citations
  2. 03

    Naturalness in Nuclear Effective Field Theories

    U. van Kolck🇫🇷

    Nuclear effective field theories (EFTs) have been developed over the last quarter-century with considerable impact on the description of light and even medium-mass nuclei. At the core of any EFT is a systematic expansion of observables, which is usually obtained from a rule based on an assumption of naturalness. I discuss naturalness in the context of the relatively weak binding of nuclei, where discrete scale invariance plays a role in the emergence of complexity.

    nucl-thphysics.hist-phEPJA(2020)·39 citations

Affiliations

first authorsco-authorsvia INSPIRE