Abstract
Three P-wave doubly excited autodissociating resonant states have been unveiled in positronium hydride. The investigation of these states was facilitated through the application of a projection operator method, supported by the stochastic variational method. Precise computations of the resonant positions and widths were executed using the complex coordinate rotation method, employing explicitly correlated Gaussians as basis functions. Our analysis has exposed the intrinsic structural characteristics of these profoundly excited states. The lowest P-wave doubly excited states manifest a distinctive trait, encompassing both the H\(^{-}\)+e\(^{+}\) and Ps\(^{-}\)+H\(^{+}\) configurations.
Similar content being viewed by others
Data Availability
No datasets were generated or analysed during the current study.
References
Yamashita, T., Hiyama, E., Yoshida, D., Tachikawa, M.: Phys. Rev. A 105, 012814 (2022). https://doi.org/10.1103/PhysRevA.105.012814
Zhang, Y., Wu, M.-S., Yan, G.-A., Varga, K., Yan, Z.-C., Zhang, J.-Y.: Phys. Rev. A 108, 052813 (2023). https://doi.org/10.1103/PhysRevA.108.052813
Drachman, R.J., Houston, S.K.: Phys. Rev. A 12, 885 (1975). https://doi.org/10.1103/PhysRevA.12.885
Drachman, R.J.: Phys. Rev. A 19, 1900 (1979). https://doi.org/10.1103/PhysRevA.19.1900
Ho, Y.K.: Phys. Rev. A 41, 68 (1990). https://doi.org/10.1103/PhysRevA.41.68
Campbell, C.P., McAlinden, M.T., Mac-Donald, F.G.R.S., Walters, H.R.J.: Phys. Rev. Lett. 80, 5097 (1998). https://doi.org/10.1103/PhysRevLett.80.5097
Yan, Z.-C., Ho, Y.K.: Phys. Rev. A 57, R2270 (1998). https://doi.org/10.1103/PhysRevA.57.R2270
Ho, Y.K., Yan, Z.-C.: J. Phys. B: Atomic, Molecular and Optical Phys. 31, L877 (1998). https://doi.org/10.1088/0953-4075/31/20/006
Yan, Z.-C., Ho, Y.K.: Phys. Rev. A 59, 2697 (1999). https://doi.org/10.1103/PhysRevA.59.2697
Ho, Y.K., Yan, Z.-C.: Phys. Rev. A 62, 052503 (2000). https://doi.org/10.1103/PhysRevA.62.052503
Blackwood, J.E., McAlinden, M.T., Walters, H.R.J.: Phys. Rev. A 65, 030502 (2002). https://doi.org/10.1103/PhysRevA.65.030502
Di Rienzi, J., Drachman, R.J.: Phys. Rev. A 65, 032721 (2002). https://doi.org/10.1103/PhysRevA.65.032721
DiRienzi, J., Drachman, R.J.: Phys. Rev. A 66, 054702 (2002). https://doi.org/10.1103/PhysRevA.66.054702
Yan, Z.-C., Ho, Y.K.: J. Phys. B: Atomic, Molecular and Optical Phys. 36, 4417 (2003). https://doi.org/10.1088/0953-4075/36/22/004
DiRienzi, J., Drachman, R.J.: Phys. Rev. A 76, 032705 (2007). https://doi.org/10.1103/PhysRevA.76.032705
Yan, Z.-C., Ho, Y.K.: Phys. Rev. A 78, 012711 (2008). https://doi.org/10.1103/PhysRevA.78.012711
Yan, Z.-C., Ho, Y.K.: Phys. Rev. A 84, 034503 (2011). https://doi.org/10.1103/PhysRevA.84.034503
Varga, K., Suzuki, Y.: Phys. Rev. C 52, 2885 (1995). https://doi.org/10.1103/PhysRevC.52.2885
Ryzhikh, G.G., Mitroy, J., Varga, K.: J. Phys. B 31, 3965 (1998). https://doi.org/10.1088/0953-4075/31/17/019
Mitroy, J., Bubin, S., Horiuchi, W., Suzuki, Y., Adamowicz, L., Cencek, W., Szalewicz, K., Komasa, J., Blume, D., Varga, K.: Rev. Mod. Phys. 85, 693 (2013). https://doi.org/10.1103/RevModPhys.85.693
Zhang, Y., Wu, M.-S., Qian, Y., Varga, K., Han, H.-L., Zhang, J.-Y.: Phys. Rev. A 102, 012825 (2020). https://doi.org/10.1103/PhysRevA.102.012825
Bromley, M.W.J., Mitroy, J., Varga, K.: Phys. Rev. Lett. 109, 063201 (2012). https://doi.org/10.1103/PhysRevLett.109.063201
Mitroy, J., Grineviciute, J.: Phys. Rev. A 88, 022710 (2013). https://doi.org/10.1103/PhysRevA.88.022710
Suzuki, Y., Suzuki, M., Varga, K.: Stochastic vari-ational approach to quantum-mechanical few-body problems, Vol. 54 (Springer Science & Business Media, 1998)
Bubin, S., Pavanello, M., Tung, W.-C., Sharkey, K.L., Adamowicz, L.: Chemical Reviews 113, 36 (2013). https://doi.org/10.1021/cr200419d
Wu, M.-S., Zhang, J.-Y., Qian, Y., Varga, K., Schwingenschlögl, U., Yan, Z.-C.: Phys. Rev. A 103, 022817 (2021). https://doi.org/10.1103/PhysRevA.103.022817
Reinhardt, W.P.: Annual Review of Physical Chemistry 33, 223 (1982). https://doi.org/10.1146/annurev.pc.33.100182.001255
Ho, Y.: Physics Reports 99, 1 (1983). https://doi.org/10.1016/0370-1573(83)90112-6
Korobov, V.I.: Phys. Rev. A 67, 062501 (2003). https://doi.org/10.1103/PhysRevA.67.062501
Korobov, V.I.: Phys. Rev. A 89, 014501 (2014). https://doi.org/10.1103/PhysRevA.89.014501
Acknowledgements
This work was supported by the National Natural Science Foundation of China under Grant Nos. 12364059 and 12147146, the Natural Science Foundation of Hainan Province under Grant Nos. 122QN219, and the Natural Science Foundation of Shandong Provincial under Grant Nos. ZR2021QA046.
Author information
Authors and Affiliations
Contributions
Authorship acknowledges a researcher’s contributions to a study and entails responsibility. In this section, we delineate how each author contributed to the manuscript. Using initials to denote each author’s contribution: Y. Z. primarily drafted the manuscript text. G. A. Y. analyzed data and prepared the figures. All authors participated in manuscript review. This accurately reflects the individual contributions of each author to our work.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zhang, Y., Yan, GA. P-Wave Doubly Excited States of Positronium Hydride. Int J Theor Phys 63, 80 (2024). https://doi.org/10.1007/s10773-024-05596-w
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10773-024-05596-w