Indications for the Nonexistence of Three-Neutron Resonances near the Physical Region

Abstract

The pending question of the existence of three-neutron resonances near the physical energy region is reconsidered. Finite rank neutron-neutron forces are used in Faddeev equations, which are analytically continued into the unphysical energy sheet below the positive real energy axis. The trajectories of the three-neutron S-matrix poles in the states of total angular momenta and parity J^π=1/2 +- and J^π= 3/2 +- are traced out as a function of artificial enhancement factors of the neutron-neutron forces. The final positions of the S-matrix poles removing the artificial factors are found in all cases to be far away from the positive real energy axis, which provides a strong indication for the nonexistence of nearby three-neutron resonances. The pole trajectories close to the threshold E=0 are also predicted out of auxiliary generated three-neutron bound state energies using the Padé method and agree very well with the directly calculated ones.

arXiv comment20 pages, 7 Postscript figures, fig.1 is corrected, uses relax.sty

References in corpus (8)

• Construction of high-quality Nucleon-Nucleon potential models
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Reworking the Tucson-Melbourne Three-Nucleon Potential
• The detection of neutron clusters
• The neutron halo of ${}^6$He in a microscopic model
• Sub-threshold resonances in few-neutron systems
• Resonances in the three-neutron system
• Searching for three-nucleon resonances

Cited by in corpus (10)

• Comparing and contrasting nuclei and cold atomic gases
• Three-neutron resonance trajectories for realistic interaction models
• The quest for light multineutron systems
• Three-neutron resonance study using transition operators
• Three-body resonances in pionless effective field theory
• Study of three-neutron bound and continuum states
• Complete set of polarization transfer coefficients for the ${}^3\mathrm{He}(p,n)$ reaction at 346 MeV and 0 degrees
• The extremes of neutron richness
• Efimov resonances above four-boson threshold
• The story around the first 4n signal