Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?
Abstract
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:
-
[1];
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Technische Univ. Darmstadt, Darmstadt (Germany); GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany)
- Technische Univ. Darmstadt, Darmstadt (Germany); GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany); Max-Planck-Institut fur Kernphysik, Heidelberg (Germany)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1374323
- Alternate Identifier(s):
- OSTI ID: 1372416
- Report Number(s):
- LA-UR-16-29168
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US1702782
- Grant/Contract Number:
- AC52-06NA25396; AC02-05CH11231
- Resource 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)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics
Citation Formats
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., 2017.
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. https://doi.org/10.1103/PhysRevLett.118.232501
Gandolfi, Stefano, Hammer, Hans -Werner, Klos, P., Lynn, Joel E., and Schwenk, A. Thu .
"Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?". United States. https://doi.org/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 = {Thu Jun 08 00:00:00 EDT 2017},
month = {Thu Jun 08 00:00:00 EDT 2017}
}
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