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Title: Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?

Here, we present quantum Monte Carlo calculations of few-neutron systems confined in external potentials based on local chiral interactions at next-to-next-to-leading order in chiral effective field theory. The energy and radial densities for these systems are calculated in different external Woods-Saxon potentials. We assume that their extrapolation to zero external-potential depth provides a quantitative estimate of three- and four-neutron resonances. The validity of this assumption is demonstrated by benchmarking with an exact diagonalization in the two-body case. We find that the extrapolated trineutron resonance, as well as the energy for shallow well depths, is lower than the tetraneutron resonance energy. This suggests that a three-neutron resonance exists below a four-neutron resonance in nature and is potentially measurable. To confirm that the relative ordering of three- and four-neutron resonances is not an artifact of the external confinement, we test that the odd-even staggering in the helium isotopic chain is reproduced within this approach. Finally, we discuss similarities between our results and ultracold Fermi gases.
Authors:
ORCiD logo [1] ;  [2] ;  [2] ;  [2] ;  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Technische Univ. Darmstadt, Darmstadt (Germany); GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany)
  3. Technische Univ. Darmstadt, Darmstadt (Germany); GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany); Max-Planck-Institut fur Kernphysik, Heidelberg (Germany)
Publication Date:
Report Number(s):
LA-UR-16-29168
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US1702782
Grant/Contract Number:
AC52-06NA25396; AC02-05CH11231
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 23; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Laboratory Directed Research and Development (LDRD) Program
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics
OSTI Identifier:
1374323
Alternate Identifier(s):
OSTI ID: 1372416

Gandolfi, Stefano, Hammer, Hans -Werner, Klos, P., Lynn, Joel E., and Schwenk, A.. Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?. United States: N. p., Web. doi:10.1103/PhysRevLett.118.232501.
Gandolfi, Stefano, Hammer, Hans -Werner, Klos, P., Lynn, Joel E., & Schwenk, A.. Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?. United States. doi:10.1103/PhysRevLett.118.232501.
Gandolfi, Stefano, Hammer, Hans -Werner, Klos, P., Lynn, Joel E., and Schwenk, A.. 2017. "Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?". United States. doi:10.1103/PhysRevLett.118.232501. https://www.osti.gov/servlets/purl/1374323.
@article{osti_1374323,
title = {Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?},
author = {Gandolfi, Stefano and Hammer, Hans -Werner and Klos, P. and Lynn, Joel E. and Schwenk, A.},
abstractNote = {Here, we present quantum Monte Carlo calculations of few-neutron systems confined in external potentials based on local chiral interactions at next-to-next-to-leading order in chiral effective field theory. The energy and radial densities for these systems are calculated in different external Woods-Saxon potentials. We assume that their extrapolation to zero external-potential depth provides a quantitative estimate of three- and four-neutron resonances. The validity of this assumption is demonstrated by benchmarking with an exact diagonalization in the two-body case. We find that the extrapolated trineutron resonance, as well as the energy for shallow well depths, is lower than the tetraneutron resonance energy. This suggests that a three-neutron resonance exists below a four-neutron resonance in nature and is potentially measurable. To confirm that the relative ordering of three- and four-neutron resonances is not an artifact of the external confinement, we test that the odd-even staggering in the helium isotopic chain is reproduced within this approach. Finally, we discuss similarities between our results and ultracold Fermi gases.},
doi = {10.1103/PhysRevLett.118.232501},
journal = {Physical Review Letters},
number = 23,
volume = 118,
place = {United States},
year = {2017},
month = {6}
}