TY - JOUR
T1 - Three-body resonance states just below the antiproton and hydrogen dissociation threshold
AU - Yamashita, Takuma
AU - Kino, Yasushi
N1 - Funding Information:
This work was financially sflpported by a Grant-in-Aid for Scientific Research from the Ministry of Edflcation, Cflltflre, Sports, Science and Technology (MEXT), Japan, a Kakenhi Grant-in-Aid from the Japan Society for the Promotion of Science (JSPS), and by the Division for Interdisciplinary Advanced Research and Edflcation (DIARE), Tohokfl University. The compfltation was condflcted on the sflpercompflters at Kyflshfl University.
Publisher Copyright:
© The Authors, published by EDP Sciences, 2018.
PY - 2018/6/25
Y1 - 2018/6/25
N2 - We analyze two shallow resonance states below the antiproton hydrogen dissociation threshold with a non-adiabatic three-body calculation. Rearrangement correlation between initial channel and protonium formation channel is explicitly included in the total wavefunction. The lower resonance state is in good agreement with the resonance position and width calculated with the R-matrix theory. The higher resonance state which is newly found is closer to the threshold and much narrower than the former resonance. A polarization effect of the hydrogen atom is found to be indispensable to support the resonance state. The accuracy of the present calculation is evaluated by the extended virial theorem. The resonance states calculated in the present work gives shallower relative energy below the dissociation threshold than the Born-Oppenheimer calculation, suggesting that the electron motion which is ignored in latter calculation would give positive energy because the electron is unbound inside the distance.
AB - We analyze two shallow resonance states below the antiproton hydrogen dissociation threshold with a non-adiabatic three-body calculation. Rearrangement correlation between initial channel and protonium formation channel is explicitly included in the total wavefunction. The lower resonance state is in good agreement with the resonance position and width calculated with the R-matrix theory. The higher resonance state which is newly found is closer to the threshold and much narrower than the former resonance. A polarization effect of the hydrogen atom is found to be indispensable to support the resonance state. The accuracy of the present calculation is evaluated by the extended virial theorem. The resonance states calculated in the present work gives shallower relative energy below the dissociation threshold than the Born-Oppenheimer calculation, suggesting that the electron motion which is ignored in latter calculation would give positive energy because the electron is unbound inside the distance.
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U2 - 10.1051/epjconf/201818101034
DO - 10.1051/epjconf/201818101034
M3 - Conference article
AN - SCOPUS:85051031467
SN - 2101-6275
VL - 181
JO - EPJ Web of Conferences
JF - EPJ Web of Conferences
M1 - 01034
T2 - 2017 International Conference on Exotic Atoms and Related Topics, EXA 2017
Y2 - 11 September 2017 through 15 September 2017
ER -