TY - JOUR
T1 - Fate of the neutron–deuteron virtual state as an Efimov level
AU - Rupak, Gautam
AU - Vaghani, Akshay
AU - Higa, Renato
AU - van Kolck, Ubirajara
N1 - Funding Information:
The authors acknowledge many helpful conversations with Sebastian König and Jared Vanasse who also provided their triton amplitude values for benchmarking our three-body codes, and the stimulating environment of the IIP program “Weakly Bound Exotic Nuclei” where this project started. GR and UvK thank the Institute of Physics at the University of São Paulo, the Institute for Nuclear Theory at the University of Washington, the Kavli Institute of Theoretical Physics at the University of California Santa Barbara, and the ExtreMe Matter Institute at the Technical University, Darmstadt, for the kind hospitality while this research was carried out. GR acknowledges partial support from the Joint Institute for Nuclear Physics and Applications at Oak Ridge National Laboratory and the Department of Physics, University of Tennessee , during his sabbatical where part of this research was completed. This work was supported in part by FAPESP grant 2012/50984-4 (RH), project INCT-FNA Proc. No. 464898/2014-5 (RH), U.S. NSF grant PHY-1615092 (GR), the U.S. Department of Energy , Office of Science, Office of Nuclear Physics, under award No. DE-FG02-04ER41338 (UvK), the European Union Research and Innovation program Horizon 2020 under grant agreement No. 654002 (UvK), and CNRS's Laboratoire International Associé France–Brésil “Subatomics” (RH and UvK).
Funding Information:
The authors acknowledge many helpful conversations with Sebastian König and Jared Vanasse who also provided their triton amplitude values for benchmarking our three-body codes, and the stimulating environment of the IIP program “Weakly Bound Exotic Nuclei” where this project started. GR and UvK thank the Institute of Physics at the University of São Paulo, the Institute for Nuclear Theory at the University of Washington, the Kavli Institute of Theoretical Physics at the University of California Santa Barbara, and the ExtreMe Matter Institute at the Technical University, Darmstadt, for the kind hospitality while this research was carried out. GR acknowledges partial support from the Joint Institute for Nuclear Physics and Applications at Oak Ridge National Laboratory and the Department of Physics, University of Tennessee, during his sabbatical where part of this research was completed. This work was supported in part by FAPESP grant 2012/50984-4 (RH), project INCT-FNA Proc. No. 464898/2014-5 (RH), U.S. NSF grant PHY-1615092 (GR), the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under award No. DE-FG02-04ER41338 (UvK), the European Union Research and Innovation program Horizon 2020 under grant agreement No. 654002 (UvK), and CNRS's Laboratoire International Associé France–Brésil “Subatomics” (RH and UvK).
Funding Information:
The authors acknowledge many helpful conversations with Sebastian K?nig and Jared Vanasse who also provided their triton amplitude values for benchmarking our three-body codes, and the stimulating environment of the IIP program ?Weakly Bound Exotic Nuclei? where this project started. GR and UvK thank the Institute of Physics at the University of S?o Paulo, the Institute for Nuclear Theory at the University of Washington, the Kavli Institute of Theoretical Physics at the University of California Santa Barbara, and the ExtreMe Matter Institute at the Technical University, Darmstadt, for the kind hospitality while this research was carried out. GR acknowledges partial support from the Joint Institute for Nuclear Physics and Applications at Oak Ridge National Laboratory and the Department of Physics, University of Tennessee, during his sabbatical where part of this research was completed. This work was supported in part by FAPESP grant 2012/50984-4 (RH), project INCT-FNA Proc. No. 464898/2014-5 (RH), U.S. NSF grant PHY-1615092 (GR), the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under award No. DE-FG02-04ER41338 (UvK), the European Union Research and Innovation program Horizon 2020 under grant agreement No. 654002 (UvK), and CNRS's Laboratoire International Associ? France?Br?sil ?Subatomics? (RH and UvK).
Publisher Copyright:
© 2018 The Author(s)
PY - 2019/4/10
Y1 - 2019/4/10
N2 - The emergence of Efimov levels in a three-body system is investigated near the unitarity limit characterized by a resonant two-body interaction. No direct evidence of Efimov levels is seen in the three-nucleon system since the triton is the only physical bound state. We provide a model-independent analysis of nucleon–deuteron scattering at low energy by formulating a consistent effective field theory. We show that virtual states evolve into shallow bound states, which emerge as excited triton levels as we drive the system towards unitarity. Even though we consider this specific system, our results for the emergence of the Efimov levels are universal.
AB - The emergence of Efimov levels in a three-body system is investigated near the unitarity limit characterized by a resonant two-body interaction. No direct evidence of Efimov levels is seen in the three-nucleon system since the triton is the only physical bound state. We provide a model-independent analysis of nucleon–deuteron scattering at low energy by formulating a consistent effective field theory. We show that virtual states evolve into shallow bound states, which emerge as excited triton levels as we drive the system towards unitarity. Even though we consider this specific system, our results for the emergence of the Efimov levels are universal.
KW - Efimov levels
KW - Neutron–deuteron scattering
KW - Nuclear effective field theory
UR - http://www.scopus.com/inward/record.url?scp=85058784679&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85058784679&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2018.08.051
DO - 10.1016/j.physletb.2018.08.051
M3 - Article
AN - SCOPUS:85058784679
VL - 791
SP - 414
EP - 419
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
ER -