Author(s) S. T. Nakagawa^*, Y. Senju

Affiliation(s)
Graduate School of Science, Okayama University of Science, Okayama, Japan.

ABSTRACT

We studied the excitation spectra in the case of Xe@(p-H₂)_n embedded in a solid-state parahydrogen, making use of the ab initio molecular orbital method (QMO), in order to seek the possibility of the radiative emission of the neutrino pair (RENP) process that may be associated with the E₁ × M₁ transition processes. By means of a QMO calculation, the remarkable matrix effect was found in the structure of the electronic states. Three E₁-type excitation bands (ε₁, ε₂, ε₃, in the order of increasing energy) in the UV absorption were found. In the present preliminary calculation, the second was too close to be clearly/well distinguished as an independent peak observed in the last experiment. Nevertheless, across the second (ε₂) band, two associated bands that may link to the M₁-type transition were found. Therefore, the M₁-type de-excitation process may be probable with the help of intensity borrowing from the ε₂ band, which may support the probability of the RENP process.

KEYWORDS
RENT Process, Ab-Inito Molecular Orbital Calculation, Clathlate, Matrix Effect

Cite this paper
Nakagawa, S. and Senju, Y. (2014) Is the RENP Process Probable for a Xe Atom Embedded in Quantum Solid?. Journal of Applied Mathematics and Physics, 2, 862-868. doi: 10.4236/jamp.2014.29097.

References
[1]   Yoshimura, M. and Sasao, N. (2009) High Energy Physics-Phenomenology. arXiv: 0901.2769 http://xqw.hep.okayama-u.ac.jp/kakenhi/:.

[2]   Aitchison, I.J.R. and Hey, A.J.G. (2003) Gauge Theories in Particle Physics. Taylor & Francis, London. http://dx.doi.org/10.1201/9780849387760

[3]   Dicke, R.H. (1954) Coherence in Spontaneous Radiation Processes. Physical Review, 93, 99-110. http://dx.doi.org/10.1103/PhysRev.93.99

[4]   Fukumi, A., Kuma, S., Miyamoto, Y., Nakajima, K., Nakano, I., Nanjo, H., Ohae, C., Sasao, M., Tanaka, M., Taniguchi, T., Uetake, S., Wakabayashi, T., Yamaguchi, T., Yoshimi, A. and Yoshimura, M. (2012) Neutrino Spectroscopy with Atoms and Molecules. Progress of Theoretical and Experimental Physics, Article ID: 04D002/1-79.

[5]   Chen, K.T., et al. (1979) Electric Dipole, Quadrupole, and Magnetic Dipole Transition Probabilities of Ions Isoelectronic to the First-Row Atoms, Li through F. Atomic Data and Nuclear Data Tables, 24, 111-189. http://dx.doi.org/10.1016/0092-640X(79)90006-8

[6]   Steinfeld, J.I. (1985) Molecules and Radiation: An Introduction to Modern Molecular Spectroscopy. 2nd Edition, The MIT Press, Cambridge, Chapter 9.

[7]   Nakajima, K. (2010) Proc. FPUA 2010, 51-59.

[8]   Kogan, V.S., Lazarev, B.G. and Bulatova, R.F. (1957) Sov. Phys.-JETP, 4, 593.

[9]   Nosanow, L.H. (1966) Theory of Quantum Crystals. Physical Review, 146, 120. http://dx.doi.org/10.1103/PhysRev.146.120

[10]   Schroder, T., et al. (1985) Transient Absorption of Xe and Kr Guest Atoms in Ar Crystals. Physica Status Solidi (b), 131, 741-746. http://dx.doi.org/10.1002/pssb.2221310235

[11]   Gedanken, A., et al. (1972) Trapped Excitons in Solid Hydrogen. Chemical Physics Letters, 14, 326-328. http://dx.doi.org/10.1016/0009-2614(72)80124-6

[12]   Haken, H. (1973) Quantenfeldtheorie des Festk?rpers, Chapter 23, G. Teubner Stuttgart, Stuttgart. http://dx.doi.org/10.1007/978-3-322-96694-0

[13]   http://www.gaussian.com/

[14]   Ellis, D.E. and Painter, G.S. (1970) Phys. Rev. B, 2, 2887-2898. http://www.dvxa.org/index-e.html

[15]   Mukoyama, T. and Adachi, H. (1987) Bull. Inst. Chem. Res., 65, 23-26.

[16]   Trani, F., Scalmani, G., Zheng, G.S., Carnimeo, I., Frisch, M.J. and Barone, V. (2011) Time-Dependent Density Functional Tight Binding: New Formulation and Benchmark of Excited States. Journal of Chemical Theory and Computa- tion, 7, 3304-3313. http://dx.doi.org/10.1021/ct200461y

[17]   Becke, A.D. (1993) Density-Functional Thermochemistry. III. The Role of Exact Exchange. The Journal of Chemical Physics, 98, 5648-5652. http://dx.doi.org/10.1063/1.464913

[18]   Krumrine, J.R., Jang, S., Alexander, M.H. and Voth, G.A. (2000) Quantum Molecular Dynamics and Spectral Simulation of a Boron Impurity in Solid Para-Hydrogen. The Journal of Chemical Physics, 113, 9079-9089. http://dx.doi.org/10.1063/1.1318225

[19]   Diehl, H.-W. (1974) Para-Hydrogen Molecules in Solid Ortho-Hydrogen. Zeitschrift für Physik, 271, 235-245. http://dx.doi.org/10.1007/BF01677929

[20]   Katsuki, H. and Momose, T. (2000) Observation of Rovibrational Dephasing of Molecules in Parahydrogen Crystals by Frequency Domain Spectroscopy. Physical Review Letters, 84, 3286-3289. http://dx.doi.org/10.1103/PhysRevLett.84.3286

[21]   Williams, J. and Alexander, M.H. (2000) Potential Energy Surfaces for and Energetics of the Weakly-Bound Al-H2 and B-H2 Complexes. The Journal of Chemical Physics, 112, 5722. http://dx.doi.org/10.1063/1.481147