Abstract
The hypertriton bound state is relevant for inference of knowledge about the hyperon–nucleon (YN) interaction. In this work we compute the binding energy of the hypertriton using the ab initio hypernuclear no-core shell model (NCSM) with realistic interactions derived from chiral effective field theory. In particular, we employ a large family of nucleon–nucleon interactions with the aim to quantify the theoretical precision of predicted hypernuclear observables arising from nuclear-physics uncertainties. The three-body calculations are performed in a relative Jacobi-coordinate harmonic oscillator basis and we implement infrared correction formulas to extrapolate the NCSM results to infinite model space. We find that the spread of the predicted hypertriton binding energy, attributed to the nuclear-interaction model uncertainty, is about 100 keV. In conclusion, the sensitivity of the hypertriton binding energy to nuclear-physics uncertainties is of the same order of magnitude as experimental uncertainties such that this bound-state observable can be used in the calibration procedure to constrain the YN interactions.
Similar content being viewed by others
References
D.H. Davis, Nucl. Phys. A 754, 3 (2005). https://doi.org/10.1016/j.nuclphysa.2005.01.002
A. Nogga, Nucl. Phys. A 914, 140 (2013). https://doi.org/10.1016/j.nuclphysa.2013.02.053
D. Lonardoni, S. Gandolfi, F. Pederiva, Phys. Rev. C 87, 041303 (2013). https://doi.org/10.1103/PhysRevC.87.041303
R. Wirth, D. Gazda, P. Navrátil, A. Calci, J. Langhammer, R. Roth, Phys. Rev. Lett. 113(19), 192502 (2014). https://doi.org/10.1103/PhysRevLett.113.192502
R. Wirth, D. Gazda, P. Navrátil, R. Roth, Phys. Rev. C 97(6), 064315 (2018). https://doi.org/10.1103/PhysRevC.97.064315
L. Contessi, N. Barnea, A. Gal, Phys. Rev. Lett. 121(10), 102502 (2018). https://doi.org/10.1103/PhysRevLett.121.102502
H. Le, J. Haidenbauer, U.G. Meißner, A. Nogga, Eur. Phys. J. A 56(12), 301 (2020). https://doi.org/10.1140/epja/s10050-020-00314-6
M. Schäfer, B. Bazak, N. Barnea, J. Mareš, Phys. Rev. C 103(2), 025704 (2021). https://doi.org/10.1103/PhysRevC.103.025204
R.J. Furnstahl, N. Klco, D.R. Phillips, S. Wesolowski, Phys. Rev. C 92(2), 024005 (2015). https://doi.org/10.1103/PhysRevC.92.024005
A. Ekström, B.D. Carlsson, K.A. Wendt, C. Forssén, M.H. Jensen, R. Machleidt, S.M. Wild, J. Phys. G Nucl. Particle Phys. 42(3)(2015). https://doi.org/10.1088/0954-3899/42/3/034003
B.D. Carlsson, A. Ekström, C. Forssén, D.F. Strömberg, G.R. Jansen, O. Lilja, M. Lindby, B.A. Mattsson, K.A. Wendt, Phys. Rev. X 6(1), 011019 (2016). https://doi.org/10.1103/PhysRevX.6.011019
R.N. Pérez, J.E. Amaro, E.R. Arriola, J. Phys. G Nucl. Particle Phys. 42(3), 034013 (2015). https://doi.org/10.1088/0954-3899/42/3/034013
S. Binder, A. Calci, E. Epelbaum, R.J. Furnstahl, J. Golak, K. Hebeler, H. Kamada, H. Krebs, J. Langhammer, S. Liebig, P. Maris, U.G. Meißner, D. Minossi, A. Nogga, H. Potter, R. Roth, R. Skibiński, K. Topolnicki, J.P. Vary, H. Witała, Phys. Rev. C 93, 044002 (2016). https://doi.org/10.1103/PhysRevC.93.044002
R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, P. Maris, J.P. Vary, Phys. Rev. C 92(6), 064003 (2015). https://doi.org/10.1103/PhysRevC.92.064003
B. Acharya, B.D. Carlsson, A. Ekström, C. Forssén, L. Platter, Phys. Lett. B 760, 584 (2016). https://doi.org/10.1016/j.physletb.2016.07.032
K.A. Wendt, C. Forssén, T. Papenbrock, D. Sääf, Phys. Rev. C 91(6), 061301 (2015). https://doi.org/10.1103/PhysRevC.91.061301
H. Polinder, J. Haidenbauer, U.G. Meissner, Nucl. Phys. A 779, 244 (2006). https://doi.org/10.1016/j.nuclphysa.2006.09.006
G.P. Kamuntavicius, R.K. Kalinauskas, B.R. Barrett, S. Mickevicius, D. Germanas, Nucl. Phys. A 695, 191 (2001). https://doi.org/10.1016/S0375-9474(01)01101-0
R.J. Furnstahl, G. Hagen, T. Papenbrock, Phys. Rev. C 86, 031301 (2012). https://doi.org/10.1103/PhysRevC.86.031301
S.A. Coon, M.I. Avetian, M.K.G. Kruse, U. van Kolck, P. Maris, J.P. Vary, Phys. Rev. C 86, 054002 (2012). https://doi.org/10.1103/PhysRevC.86.054002
C. Forssén, B.D. Carlsson, H.T. Johansson, D. Sääf, A. Bansal, G. Hagen, T. Papenbrock, Phys. Rev. C 97(3), 034328 (2018). https://doi.org/10.1103/PhysRevC.97.034328
Acknowledgements
The work of T.Y. Htun was supported by the Royal Golden Jubilee Ph.D. Program jointly sponsored by Thailand International Development Cooperation Agency, International Science Programme (ISP) in Sweden, and Thailand Research Fund under Contract No. PHD/0068/2558. The work of D. Gazda was supported by the Czech Science Foundation GAČR grant No. 19-19640S and by the Knut and Alice Wallenberg Foundation (PI: Jan Conrad). The work of C. Forssén was supported by the Swedish Research Council (dnr. 2017-04234). Some of the computations were performed on resources provided by the Swedish National Infrastructure for Computing (SNIC) at C3SE (Chalmers) and NSC (Linköping).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Htun, T.Y., Gazda, D., Forssén, C. et al. Systematic Nuclear Uncertainties in the Hypertriton System. Few-Body Syst 62, 94 (2021). https://doi.org/10.1007/s00601-021-01675-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00601-021-01675-4