Исследование процесса возбуждения внутренних состояний атома водорода
131 38
Ключевые слова:
сечения рассеяния, сечения возбуждения, неидеальная квазиклассическая плазма, уравнение Калоджеро, эффективный потенциал взаимодействияАннотация
В данной работе представлены процессы возбуждения электронных уровней атома водорода при электронном ударе. Вычислены сечения возбуждения при разных значениях безразмерных параметров плазмы, определяющих состояние системы. Для теоретического исследования процессов возбуждения электронных состояний атома использовался метод квантовой механики. Для нахождения фазовых сдвигов было решено уравнение Калоджеро с эффективным потенциалом взаимодействия между электроном и атомом в частично ионизованной водородной плазме. Этот эффективный потенциал учитывает квантово-механический эффект дифракции на маленьких расстояниях, эффект экранировки на больших расстояниях, и имеет конечное значение на расстояниях близких к нулю. Сечение возбуждения определялось с помощью интегрирования дифференциального сечения рассеяния по углам рассеяния, минимальный угол рассеяния соответствовал при этом столкновению с передачей энергии, равной энергии возбуждения. Полученные результаты показали хорошее согласие с экспериментальными данными.
Библиографические ссылки
1 Walters H.R.J. Positron scatteringby atomic hydrogen at intermediate energies: 1s–1s–2s and 1s–2p transitions // J. Phys. B. – 1988. – Vol. 21. – P. 1893–1906.
2 Kernoghan A.A., Robinson D.J.R., McAlinden M.T., Walters H.R.J. Positron scatteringby atomic hydrogen // J. Phys. B. – 1996. – Vol. 29. – P. 2089–2102.
3 Zhou S., Li H., Kaupilla W.E., Kwan C.K., Stein T.S. Measurements of total and positronium formation cross section for positrons and electrons scattered by hydrogen atoms and molecules // Phys. Rev. A. – 1997. – Vol. 55. – P. 361–368.
4 Jones G.O., Charlton M., Slevin J., Laricchia G., Koever A., Poulsen M.R., Nic Chormaic S. Positron impact ionization of atomic hydrogen // J. Phys. B. – 1993. – Vol. 26. – P. 483–488.
5 Lugosi L., Paripas B., Gyemant I.K., Tokesi K. Differential cross sections for positron impact excitation of hydrogen // Radiation Physics and Chemistry – 2003. – Vol. 68. – P. 199–203.
6 Olson R.E. n 1 distributions inAq++H electroncapture collisions // Phys. Rev. A. – 1981. – Vol. 24. – P. 1726–1733.
7 Shultz D.R., Reinhold C.O., Olson R.E. Large-angle scatteringin positron-helium and positron-krypton collisions // Phys. Rev. A. – 1989. – Vol. 40. – P. 4947–4958.
8 Tokesi K., Koever A. Electron capture to the continuum at 54.4 eV positron-argon collisions // J. Phys. B. – 1996. – Vol. 33. – P. 3067–3077.
9 Morgan T.G., Geddes J. and Gilbody H.B. Formation of H(2p) and H(2s) atoms in collisions of 2-26 kev protons with hydrogen atoms // J. Phys. B. – 1973. – Vol. 6. – P. 2118.
10 Chang Y.P. and Fite W.L. Cross section for production of the metastable H(2s) state in proton collision with atomic hydrogen // Phys. Rev. A. – 1977. – Vol. 16. – P. 933.
11 Kimura M.and Thorson W.R. Molecular-state studies of charge transfer in Li3+-H, Be4+-H and B5+-H collisions // J. Phys. B: At. Mol. Phys. – 1983. – Vol. 16. – P. 1471.
12 Winter T.G. and Lin C.D. Triple-center treatment of electron transfer and excitation in p-H collisions // Phys. Rev. A. – 1984. – Vol. 29. – P. 567.
13 Janev R.K. and Krstic P.S. Excitation and ionization processes in slow collisions of ground-state and excited hydrogen atoms with protons // Phys. Rev. A. – 1992. – Vol. 46. – P. 5554.
14 Luedde H.J. and Dreizler R.M. Direct and capture processes in proton hydrogen scattering. II Total cross sections for bombarding energies of 1 to 50 keV// J. Phys. B. – 1982. – Vol. 15. – P. 2703.
15 Fritsch W. and Lin C.D. Coupled-state calculations for excitation, charge transfer, and ionization in 1-75-keV proton-hydrogen-atom collisions // Phys. Rev. A. – 1983. – Vol. 27. – P. 3361.
16 Shakesshaft R. Coupled-state calculations of proton—hydrogen-atom scattering using a scaled hydrogenic basis set // Phys. Rev. A. – 1978. – Vol. 18. – P. 1930.
17 Fitchard E., Ford A.L. and Reading J.F. Hydrogen-atom excitation and ionization by proton impact in the 50- to 200-keV energy region // Phys. Rev. A. – 1977. – Vol. 16. – P. 1325.
18 Freeman E.L. and Jones E.M. Atomic Collision Processes in Plasma Physics Experiments: I // UKAEA Rept. No. CLM-R137 (Culham Laboratory, Abingdon, England, 1974); and: Jones E.M. Atomic Collision Processes in Plasma Physics Experiments: II // UKAEA Rept. No. CLM-R175 (Culham Laboratory, Abingdon, England, 1977).
19 Celiberto R., Janev R.K., Laricchimta A., Capitelli M., Wadehra J.M. and Atems D.E. Cross section data for electron-impact inelastic processes of vibrationally excited molecules of hydrogen and its isotopes // At. Data Nucl. Data Tables. – 2001. – Vol. 77(2). – P. 161-214.
20 Saxena S., Gupta G.P. and Mathur C.K. Excitation of the hydrogen atom from its ground and metastable states by positron and proton impact at intermediate energies// J.Phys. B. – 1984. – Vol. 17. – P. 3743.
21 Kondow T., Girnius R.J., Chong Y.P. and Fite W.L. Production of Lyman-α radiation in collisions of protons and hydrogen atoms // Phys. Rev. A. – 1974. – Vol. 10. – P. 1167.
22 Young R.A., Stebbings R.F. and McGowan J.W. Lyman-α Production and Polarization in He+ Collisions with H and H2 // Phys. Rev. – 1968. – Vol. 171. – P. 85; Stebbings R.F. et al. Lyman-Alpha Production in H+−H(1s) Collisions // Phys. Rev. – 1965. – Vol. 138. – P. 1312.
23 Schartner K.H., Detleffsen D. and Sommer B. Excitation of the 2p level in atomic hydrogen by He+and H+ impact between 70 and 700 keV // Phys. Lett. A. – 1989. – Vol. 136. – P. 55.
24 Park J.T., Adlag J.E., George J.M. and Peacher J.L. Cross sections for excitation of atomic hydrogen to the n=2, 3, and 4 states by 15-200-keV protons // Phys. Rev. A. – 1976. – Vol. 14. – P. 608.
25 Reinhold C.O., Olson R.E. and Fritsch W. Excitation of atomic hydrogen by fully stripped ions // Phys. Rev. A. – 1990. – Vol. 41. – P. 4837.
26 Друкарев Т.Ф. Теория столкновений электронов с атомами. – М.: Физматгиз, 1963. – 37 c.
27 Бабиков В.В. Метод фазовых функций в квантовой механике. – М.: Наука, 1976. – 287 с.
28 Ramazanov T.S., Dzhumagulova K.N., Omarbakiyeva Y.A. Effective polarization interaction potential “charge-atom” for partially ly ionized dense plasma // Phys.Plasmas. – 2005. – Vol.12.- P.092702
29 Голант В.Е., Жилинский А.П., Сахаров С.А. Основы физики плазмы. – М.: Атомиздат, 1977. – С. 47-64.
References
1 H.R.J. Walters, J. Phys. B 21, 1893–1906, (1988). doi.org/10.1088/0953-4075/21/10/021
2 A.A. Kernoghan, D.J.R. Robinson, M.T. McAlinden, and H.R.J. Walters, J. Phys. B 29, 2089–2102, (1996).
3 S. Zhou, H. Li, W.E. Kaupilla, C.K. Kwan, and T.S. Stein, Phys. Rev. A 55, 361–368, (1997).
4 G.O. Jones, M. Charlton, J. Slevin, G. Laricchia, A. Koever, M.R. Poulsen, and S. Nic Chormaic, J. Phys. B 26, 483–488, (1993).
5 L. Lugosi, B. Paripas, I.K. Gyemant, and K.Tokesi, Radiation Physics and Chemistry 68, 199–203, (2003).
6 R.E. Olson, Phys. Rev. A 24, 1726–1733, (1981).
7 D.R. Shultz, C.O. Reinhold, and R.E. Olson, Phys. Rev. A 40, 4947–4958, (1989).
8 K. Tokesi, and A. Koever, J. Phys. B 33, 3067–3077, (1996).
9 T.G. Morgan, J. Geddes and H.B. Gilbody, J. Phys. B 6, 2118, (1973).
10 Y.P. Chang and W.L. Fite, Phys. Rev. A 16, 933, (1977).
11 M. Kimura and W.R. Thorson, J. Phys. B: At. Mol. Phys. 16, 1471, (1983).
12 T.G. Winter, C.D. Lin, Phys. Rev. A 29, 567, (1984). doi.org/10.1103/PhysRevA.29.567
13 R.K. Janev and P.S. Krstic, Phys. Rev. A 46, 5554, (1992). doi.org/10.1103/PhysRevA.46.5554
14 H.J. Luedde and R.M. Dreizler, J.Phys. B 15, 2703, (1982).
15 W. Fritsch and C.D. Lin, Phys. Rev. A 27, 3361, (1977). doi.org/10.1103/PhysRevA.27.3361
16 R. Shakesshaft, Phys. Rev. A 18, 1930, (1978). doi.org/10.1103/PhysRevA.18.1930
17 E. Fitchard, A.L. Ford and J.F. Reading, Phys. Rev. A 16, 1325, (1977). doi.org/10.1103/PhysRevA.16.1325
18 E.L. Freeman and E.M. Jones, Atomic Collision Processes in Plasma Physics Experiments: I (UKAEA Rept. No. CLM-R137 (Culham Laboratory, Abingdon, England, 1974)); and: Jones E.M. Atomic Collision Processes in Plasma Physics Experiments: II, (UKAEA Rept. No. CLM-R175 (Culham Laboratory, Abingdon, England, 1977)).
19 R. Celiberto, R.K. Janev, A. Laricchimta, M. Capitelli, J.M. Wadehra and D.E. Atems, At. Data Nucl. Data Tables 77, 161, (2001). doi: 10.1006/adnd.2000.0850
20 S. Saxena, G.P. Gupta and C.K. Mathur, J.Phys. B 17, 3743, (1984).
21 T. Kondow, R.J. Girnius, Y.P. Chong and W.L. Fite, Phys. Rev. A 10, 1167, (1974).
22 R.A. Young, R.F. Stebbings and J.W. McGowan, Phys. Rev. 171, 85, (1968). doi.org/10.1103/PhysRev.171.85; R.F. Stebbings et al. Phys. Rev. 138, 1312, (1965). doi.org/10.1103/PhysRev.138.A1312.
23 K.H. Schartner, D. Detleffsen and B. Sommer, Phys. Lett. A 136, 55, (1989). doi.org/10.1016/0375-9601(89)90676-2
24 J.T. Park, J.E. Adlag, J.M. George and J.L. Peacher, Phys. Rev. A 14, 608, (1976). doi.org/10.1103/PhysRevA.14.608
25 C.O. Reinhold, R.E. Olson and W. Fritsch, Phys. Rev. A 41, 4837, (1990).
26 T.F. Drukarev Teoriya stolknoveniy elektronov s atomami. (Moscow: Fizmatgiz, 1963), 37 p. (in Russ).
27 V.V. Babikov Metod fazovykh funktsiy v kvantovoy mekhanike (Moscow: Nauka, 1976), 287 p. (in Russ).
28 T.S. Ramazanov, K.N. Dzhumagulova, Y.A. Omarbakiyeva, Phys.Plasmas 12, 092702, (2005)
29 V.Ye. Golant, A.P. Zhilinskiy, S.A. Sakharov Osnovy fiziki plazmy (Moscow: Atomizdat, 1977), pp. 47-64. (in Russ).
2 Kernoghan A.A., Robinson D.J.R., McAlinden M.T., Walters H.R.J. Positron scatteringby atomic hydrogen // J. Phys. B. – 1996. – Vol. 29. – P. 2089–2102.
3 Zhou S., Li H., Kaupilla W.E., Kwan C.K., Stein T.S. Measurements of total and positronium formation cross section for positrons and electrons scattered by hydrogen atoms and molecules // Phys. Rev. A. – 1997. – Vol. 55. – P. 361–368.
4 Jones G.O., Charlton M., Slevin J., Laricchia G., Koever A., Poulsen M.R., Nic Chormaic S. Positron impact ionization of atomic hydrogen // J. Phys. B. – 1993. – Vol. 26. – P. 483–488.
5 Lugosi L., Paripas B., Gyemant I.K., Tokesi K. Differential cross sections for positron impact excitation of hydrogen // Radiation Physics and Chemistry – 2003. – Vol. 68. – P. 199–203.
6 Olson R.E. n 1 distributions inAq++H electroncapture collisions // Phys. Rev. A. – 1981. – Vol. 24. – P. 1726–1733.
7 Shultz D.R., Reinhold C.O., Olson R.E. Large-angle scatteringin positron-helium and positron-krypton collisions // Phys. Rev. A. – 1989. – Vol. 40. – P. 4947–4958.
8 Tokesi K., Koever A. Electron capture to the continuum at 54.4 eV positron-argon collisions // J. Phys. B. – 1996. – Vol. 33. – P. 3067–3077.
9 Morgan T.G., Geddes J. and Gilbody H.B. Formation of H(2p) and H(2s) atoms in collisions of 2-26 kev protons with hydrogen atoms // J. Phys. B. – 1973. – Vol. 6. – P. 2118.
10 Chang Y.P. and Fite W.L. Cross section for production of the metastable H(2s) state in proton collision with atomic hydrogen // Phys. Rev. A. – 1977. – Vol. 16. – P. 933.
11 Kimura M.and Thorson W.R. Molecular-state studies of charge transfer in Li3+-H, Be4+-H and B5+-H collisions // J. Phys. B: At. Mol. Phys. – 1983. – Vol. 16. – P. 1471.
12 Winter T.G. and Lin C.D. Triple-center treatment of electron transfer and excitation in p-H collisions // Phys. Rev. A. – 1984. – Vol. 29. – P. 567.
13 Janev R.K. and Krstic P.S. Excitation and ionization processes in slow collisions of ground-state and excited hydrogen atoms with protons // Phys. Rev. A. – 1992. – Vol. 46. – P. 5554.
14 Luedde H.J. and Dreizler R.M. Direct and capture processes in proton hydrogen scattering. II Total cross sections for bombarding energies of 1 to 50 keV// J. Phys. B. – 1982. – Vol. 15. – P. 2703.
15 Fritsch W. and Lin C.D. Coupled-state calculations for excitation, charge transfer, and ionization in 1-75-keV proton-hydrogen-atom collisions // Phys. Rev. A. – 1983. – Vol. 27. – P. 3361.
16 Shakesshaft R. Coupled-state calculations of proton—hydrogen-atom scattering using a scaled hydrogenic basis set // Phys. Rev. A. – 1978. – Vol. 18. – P. 1930.
17 Fitchard E., Ford A.L. and Reading J.F. Hydrogen-atom excitation and ionization by proton impact in the 50- to 200-keV energy region // Phys. Rev. A. – 1977. – Vol. 16. – P. 1325.
18 Freeman E.L. and Jones E.M. Atomic Collision Processes in Plasma Physics Experiments: I // UKAEA Rept. No. CLM-R137 (Culham Laboratory, Abingdon, England, 1974); and: Jones E.M. Atomic Collision Processes in Plasma Physics Experiments: II // UKAEA Rept. No. CLM-R175 (Culham Laboratory, Abingdon, England, 1977).
19 Celiberto R., Janev R.K., Laricchimta A., Capitelli M., Wadehra J.M. and Atems D.E. Cross section data for electron-impact inelastic processes of vibrationally excited molecules of hydrogen and its isotopes // At. Data Nucl. Data Tables. – 2001. – Vol. 77(2). – P. 161-214.
20 Saxena S., Gupta G.P. and Mathur C.K. Excitation of the hydrogen atom from its ground and metastable states by positron and proton impact at intermediate energies// J.Phys. B. – 1984. – Vol. 17. – P. 3743.
21 Kondow T., Girnius R.J., Chong Y.P. and Fite W.L. Production of Lyman-α radiation in collisions of protons and hydrogen atoms // Phys. Rev. A. – 1974. – Vol. 10. – P. 1167.
22 Young R.A., Stebbings R.F. and McGowan J.W. Lyman-α Production and Polarization in He+ Collisions with H and H2 // Phys. Rev. – 1968. – Vol. 171. – P. 85; Stebbings R.F. et al. Lyman-Alpha Production in H+−H(1s) Collisions // Phys. Rev. – 1965. – Vol. 138. – P. 1312.
23 Schartner K.H., Detleffsen D. and Sommer B. Excitation of the 2p level in atomic hydrogen by He+and H+ impact between 70 and 700 keV // Phys. Lett. A. – 1989. – Vol. 136. – P. 55.
24 Park J.T., Adlag J.E., George J.M. and Peacher J.L. Cross sections for excitation of atomic hydrogen to the n=2, 3, and 4 states by 15-200-keV protons // Phys. Rev. A. – 1976. – Vol. 14. – P. 608.
25 Reinhold C.O., Olson R.E. and Fritsch W. Excitation of atomic hydrogen by fully stripped ions // Phys. Rev. A. – 1990. – Vol. 41. – P. 4837.
26 Друкарев Т.Ф. Теория столкновений электронов с атомами. – М.: Физматгиз, 1963. – 37 c.
27 Бабиков В.В. Метод фазовых функций в квантовой механике. – М.: Наука, 1976. – 287 с.
28 Ramazanov T.S., Dzhumagulova K.N., Omarbakiyeva Y.A. Effective polarization interaction potential “charge-atom” for partially ly ionized dense plasma // Phys.Plasmas. – 2005. – Vol.12.- P.092702
29 Голант В.Е., Жилинский А.П., Сахаров С.А. Основы физики плазмы. – М.: Атомиздат, 1977. – С. 47-64.
References
1 H.R.J. Walters, J. Phys. B 21, 1893–1906, (1988). doi.org/10.1088/0953-4075/21/10/021
2 A.A. Kernoghan, D.J.R. Robinson, M.T. McAlinden, and H.R.J. Walters, J. Phys. B 29, 2089–2102, (1996).
3 S. Zhou, H. Li, W.E. Kaupilla, C.K. Kwan, and T.S. Stein, Phys. Rev. A 55, 361–368, (1997).
4 G.O. Jones, M. Charlton, J. Slevin, G. Laricchia, A. Koever, M.R. Poulsen, and S. Nic Chormaic, J. Phys. B 26, 483–488, (1993).
5 L. Lugosi, B. Paripas, I.K. Gyemant, and K.Tokesi, Radiation Physics and Chemistry 68, 199–203, (2003).
6 R.E. Olson, Phys. Rev. A 24, 1726–1733, (1981).
7 D.R. Shultz, C.O. Reinhold, and R.E. Olson, Phys. Rev. A 40, 4947–4958, (1989).
8 K. Tokesi, and A. Koever, J. Phys. B 33, 3067–3077, (1996).
9 T.G. Morgan, J. Geddes and H.B. Gilbody, J. Phys. B 6, 2118, (1973).
10 Y.P. Chang and W.L. Fite, Phys. Rev. A 16, 933, (1977).
11 M. Kimura and W.R. Thorson, J. Phys. B: At. Mol. Phys. 16, 1471, (1983).
12 T.G. Winter, C.D. Lin, Phys. Rev. A 29, 567, (1984). doi.org/10.1103/PhysRevA.29.567
13 R.K. Janev and P.S. Krstic, Phys. Rev. A 46, 5554, (1992). doi.org/10.1103/PhysRevA.46.5554
14 H.J. Luedde and R.M. Dreizler, J.Phys. B 15, 2703, (1982).
15 W. Fritsch and C.D. Lin, Phys. Rev. A 27, 3361, (1977). doi.org/10.1103/PhysRevA.27.3361
16 R. Shakesshaft, Phys. Rev. A 18, 1930, (1978). doi.org/10.1103/PhysRevA.18.1930
17 E. Fitchard, A.L. Ford and J.F. Reading, Phys. Rev. A 16, 1325, (1977). doi.org/10.1103/PhysRevA.16.1325
18 E.L. Freeman and E.M. Jones, Atomic Collision Processes in Plasma Physics Experiments: I (UKAEA Rept. No. CLM-R137 (Culham Laboratory, Abingdon, England, 1974)); and: Jones E.M. Atomic Collision Processes in Plasma Physics Experiments: II, (UKAEA Rept. No. CLM-R175 (Culham Laboratory, Abingdon, England, 1977)).
19 R. Celiberto, R.K. Janev, A. Laricchimta, M. Capitelli, J.M. Wadehra and D.E. Atems, At. Data Nucl. Data Tables 77, 161, (2001). doi: 10.1006/adnd.2000.0850
20 S. Saxena, G.P. Gupta and C.K. Mathur, J.Phys. B 17, 3743, (1984).
21 T. Kondow, R.J. Girnius, Y.P. Chong and W.L. Fite, Phys. Rev. A 10, 1167, (1974).
22 R.A. Young, R.F. Stebbings and J.W. McGowan, Phys. Rev. 171, 85, (1968). doi.org/10.1103/PhysRev.171.85; R.F. Stebbings et al. Phys. Rev. 138, 1312, (1965). doi.org/10.1103/PhysRev.138.A1312.
23 K.H. Schartner, D. Detleffsen and B. Sommer, Phys. Lett. A 136, 55, (1989). doi.org/10.1016/0375-9601(89)90676-2
24 J.T. Park, J.E. Adlag, J.M. George and J.L. Peacher, Phys. Rev. A 14, 608, (1976). doi.org/10.1103/PhysRevA.14.608
25 C.O. Reinhold, R.E. Olson and W. Fritsch, Phys. Rev. A 41, 4837, (1990).
26 T.F. Drukarev Teoriya stolknoveniy elektronov s atomami. (Moscow: Fizmatgiz, 1963), 37 p. (in Russ).
27 V.V. Babikov Metod fazovykh funktsiy v kvantovoy mekhanike (Moscow: Nauka, 1976), 287 p. (in Russ).
28 T.S. Ramazanov, K.N. Dzhumagulova, Y.A. Omarbakiyeva, Phys.Plasmas 12, 092702, (2005)
29 V.Ye. Golant, A.P. Zhilinskiy, S.A. Sakharov Osnovy fiziki plazmy (Moscow: Atomizdat, 1977), pp. 47-64. (in Russ).
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Shalenov, E., Dzhumagulova, K., Ramazanov, T., & Dzhumagulov, M. (2017). Исследование процесса возбуждения внутренних состояний атома водорода. Вестник. Серия Физическая (ВКФ), 62(3), 26–33. извлечено от https://bph.kaznu.kz/index.php/zhuzhu/article/view/555
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Физика плазмы
