TY - JOUR
T1 - Onset of η-nuclear binding in a pionless EFT approach
AU - Barnea, N.
AU - Bazak, B.
AU - Friedman, E.
AU - Gal, A.
N1 - Publisher Copyright:
© 2017 The Author(s)
PY - 2017/8/10
Y1 - 2017/8/10
N2 - ηNNN and ηNNNN bound states are explored in stochastic variational method (SVM) calculations within a pionless effective field theory (EFT) approach at leading order. The theoretical input consists of regulated NN and NNN contact terms, and a regulated energy dependent ηN contact term derived from coupled-channel models of the N⁎(1535) nucleon resonance. A self consistency procedure is applied to deal with the energy dependence of the ηN subthreshold input, resulting in a weak dependence of the calculated η-nuclear binding energies on the EFT regulator. It is found, in terms of the ηN scattering length aηN, that the onset of binding η 3He requires a minimal value of ReaηN close to 1 fm, yielding then a few MeV η binding in η 4He. The onset of binding η 4He requires a lower value of ReaηN, but exceeding 0.7 fm.
AB - ηNNN and ηNNNN bound states are explored in stochastic variational method (SVM) calculations within a pionless effective field theory (EFT) approach at leading order. The theoretical input consists of regulated NN and NNN contact terms, and a regulated energy dependent ηN contact term derived from coupled-channel models of the N⁎(1535) nucleon resonance. A self consistency procedure is applied to deal with the energy dependence of the ηN subthreshold input, resulting in a weak dependence of the calculated η-nuclear binding energies on the EFT regulator. It is found, in terms of the ηN scattering length aηN, that the onset of binding η 3He requires a minimal value of ReaηN close to 1 fm, yielding then a few MeV η binding in η 4He. The onset of binding η 4He requires a lower value of ReaηN, but exceeding 0.7 fm.
KW - Few-body systems
KW - Mesic nuclei
KW - π̸EFT calculations
UR - https://www.scopus.com/pages/publications/85020060351
U2 - 10.1016/j.physletb.2017.05.066
DO - 10.1016/j.physletb.2017.05.066
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85020060351
SN - 0370-2693
VL - 771
SP - 297
EP - 302
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
ER -