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The present work devotes to the energy levels of positron under molecules XH(X=O, S, Se and Te)and the relations with nuclear field using Dirac equation based on the full symmetry group. Under these nuclear fields, the energy of positron is about e+=-1.022 MeV. For the lower energy level, the energy of positron is increased with nuclear field; for the higher energy level, the energy of positron is nearly invariant with nuclear field. In this case, it is the three-photon annihilation. The formation of the positronium is in orthopositronium 3S, excited state, followed the conservation of charge parity.
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Keywords:
- Dirac equation /
- three-photon annihilation /
- orthopositronium /
- conservation of charge parity
[1] Landu L D, Lifshitz FM 1997 Quantum Mechanics, Butterworth
[2] Luding W, Falter C 1996 Symmetries in Physics (Berlin:Springer-Verlag Heidelberg)
[3] Tinkham M 1964 Group Theory and Quantum Mechanics. (New York; McGraw-Hill)
[4] Berengut J C, Flambaum V V, Kozlov M G 2006 Physcal Review A 73 012504
[5] Animalu A O E 1977 Intermediate Quantum Theory of Crystalline Solids, Prentice-Hall, INC.
[6] Seeger A 1972 Physics Lett. A 40 135
[7] Luiz Guilherme M de Macedo, Julio R Sambrano, Aguinaldo R de Souza, Antonio Carlos Borin 2007 Chem. Phys. Lett. 440 376
[8] Bieron J, Fischer C F, Indelicato P, Jonsson P, pyykko P 2009 Phys. Rev. A 79 052502
[9] Saue T, Helgaker T 2002 J. Comput. Chem. 23 814
[10] Zhu Z H 2007 Atomic and Molecular Reaction Statics (Beijing: Science Press) (in Chinese) [朱正和 2007 原子分子反应静力学(北京:科学出版社)]
[11] Cornwell J F 1994 Group Theory in Physics (London: Academic Press)
[12] Saue T, Jensen H J Aa 1999 J. Chem. Phys. 111 6211
[13] Saue T, Jensen H J Aa 2003 J. Chem. Phys. 118 5
[14] Fleig T, Visscher L 2005 Chemical Physics 311 113
[15] Charlie H 1976 Introduction to Mathematical Physics (Prentice_Hall, INC.Engleewood Cliffs, New Jersey)
[16] Jensen H J A, Saue T, Visscher L, DIRAC08
[17] Saue T, Helgaker T 2002 J. Comput. Chem. 23 814
[18] Akinori Igarashi, Mineo Kimura, Isao Shimamura 2002 Phys. Rev. Lett. 12 123201
[19] Ryzhikh G G, Mitroy J 2000 J. Phys. B 33 2229
[20] Ivanov I A, Mitroy J 2000 J. Phys. B 33 L831
[21] West R N 1974 Positron Studies of Condensed Matter Taylor and Francis Lid.
[22] Jean Y C, Mallon P E, Schrader D M 2003 Principles and Applications of Positron and Positronium Chemistry, World Scientific
[23] Johson C S, Pedersen L G 1986 Problems and Solutions in Quantum Chemistry and Physics, Dover Publication, Inc., New York
[24] Dicke R H, Wittke J P 1980 Introducation to Quantum Mechanics, Addison-Wesley Publishing Company, INC.
[25] Berestetskii V B, Lifshitz, E M, Pitaevskii LP 1994 RelativisticQuantumTheory, oxford:Pergamon,
[26] Al-Ramadhan A H, Gidley D W 1994 Phys. Rev. Lett. 72 1632
[27] Chen X L, Zhang J, Du H J, Zhou X Y, Ye B J 2010 Acta Phys. Sin. 59 0603 (in Chinese) [陈祥磊、张 杰、杜淮江、周先意、叶邦角 2010 59 0603]
[28] Zhang H J, Wang D, Chen Z Q, Wang S J, Xu Y M, Luo X H 2010 Acta Phys. Sin. 59 7333 (in Chinese) [张宏俊、王 栋、陈志权、王少阶、徐友明、罗锡辉 2010 59 7333]
[29] Zhou K, Li H, Wang Z 2010 Acta Phys. Sin. 59 (in Chinese) [周 凯、李 辉、王 柱 2010 59 5116]
-
[1] Landu L D, Lifshitz FM 1997 Quantum Mechanics, Butterworth
[2] Luding W, Falter C 1996 Symmetries in Physics (Berlin:Springer-Verlag Heidelberg)
[3] Tinkham M 1964 Group Theory and Quantum Mechanics. (New York; McGraw-Hill)
[4] Berengut J C, Flambaum V V, Kozlov M G 2006 Physcal Review A 73 012504
[5] Animalu A O E 1977 Intermediate Quantum Theory of Crystalline Solids, Prentice-Hall, INC.
[6] Seeger A 1972 Physics Lett. A 40 135
[7] Luiz Guilherme M de Macedo, Julio R Sambrano, Aguinaldo R de Souza, Antonio Carlos Borin 2007 Chem. Phys. Lett. 440 376
[8] Bieron J, Fischer C F, Indelicato P, Jonsson P, pyykko P 2009 Phys. Rev. A 79 052502
[9] Saue T, Helgaker T 2002 J. Comput. Chem. 23 814
[10] Zhu Z H 2007 Atomic and Molecular Reaction Statics (Beijing: Science Press) (in Chinese) [朱正和 2007 原子分子反应静力学(北京:科学出版社)]
[11] Cornwell J F 1994 Group Theory in Physics (London: Academic Press)
[12] Saue T, Jensen H J Aa 1999 J. Chem. Phys. 111 6211
[13] Saue T, Jensen H J Aa 2003 J. Chem. Phys. 118 5
[14] Fleig T, Visscher L 2005 Chemical Physics 311 113
[15] Charlie H 1976 Introduction to Mathematical Physics (Prentice_Hall, INC.Engleewood Cliffs, New Jersey)
[16] Jensen H J A, Saue T, Visscher L, DIRAC08
[17] Saue T, Helgaker T 2002 J. Comput. Chem. 23 814
[18] Akinori Igarashi, Mineo Kimura, Isao Shimamura 2002 Phys. Rev. Lett. 12 123201
[19] Ryzhikh G G, Mitroy J 2000 J. Phys. B 33 2229
[20] Ivanov I A, Mitroy J 2000 J. Phys. B 33 L831
[21] West R N 1974 Positron Studies of Condensed Matter Taylor and Francis Lid.
[22] Jean Y C, Mallon P E, Schrader D M 2003 Principles and Applications of Positron and Positronium Chemistry, World Scientific
[23] Johson C S, Pedersen L G 1986 Problems and Solutions in Quantum Chemistry and Physics, Dover Publication, Inc., New York
[24] Dicke R H, Wittke J P 1980 Introducation to Quantum Mechanics, Addison-Wesley Publishing Company, INC.
[25] Berestetskii V B, Lifshitz, E M, Pitaevskii LP 1994 RelativisticQuantumTheory, oxford:Pergamon,
[26] Al-Ramadhan A H, Gidley D W 1994 Phys. Rev. Lett. 72 1632
[27] Chen X L, Zhang J, Du H J, Zhou X Y, Ye B J 2010 Acta Phys. Sin. 59 0603 (in Chinese) [陈祥磊、张 杰、杜淮江、周先意、叶邦角 2010 59 0603]
[28] Zhang H J, Wang D, Chen Z Q, Wang S J, Xu Y M, Luo X H 2010 Acta Phys. Sin. 59 7333 (in Chinese) [张宏俊、王 栋、陈志权、王少阶、徐友明、罗锡辉 2010 59 7333]
[29] Zhou K, Li H, Wang Z 2010 Acta Phys. Sin. 59 (in Chinese) [周 凯、李 辉、王 柱 2010 59 5116]
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