Regulating the Nuclear Reactor through Changes of the Fraction of Delayed Neutrons: Theoretical Probabilities

Author(s)
Dmitry V. Filippov,
Leonid I. Urutskoev,
Valery I. Rachkov,
Olga I. Gadzaova,
Larion A. Lebedev

ABSTRACT

In recent years а significant number of both theoretical and experimental works devoted to the influence of external electromagnetic fields and ionization on the probability of beta decays have been published. The present work investigates the feasibility of using this physical effect as the main mechanism for controlling the reactor. In this paper a system of equations is written and studied that allows one to describe the work of a nuclear reactor in the case where the probability of beta decay and, therefore, the fraction of delayed neu-trons is a function of time. It is shown that in the case of a constant fraction of delayed neutrons, the pro-posed system of equations is identical to the known system. As can be seen from analysis of a solution of the new system of equations for the proposed method of reactor control, acceleration by instantaneous neutrons is impossible even theoretically.

In recent years а significant number of both theoretical and experimental works devoted to the influence of external electromagnetic fields and ionization on the probability of beta decays have been published. The present work investigates the feasibility of using this physical effect as the main mechanism for controlling the reactor. In this paper a system of equations is written and studied that allows one to describe the work of a nuclear reactor in the case where the probability of beta decay and, therefore, the fraction of delayed neu-trons is a function of time. It is shown that in the case of a constant fraction of delayed neutrons, the pro-posed system of equations is identical to the known system. As can be seen from analysis of a solution of the new system of equations for the proposed method of reactor control, acceleration by instantaneous neutrons is impossible even theoretically.

Cite this paper

nullD. Filippov, L. Urutskoev, V. Rachkov, O. Gadzaova and L. Lebedev, "Regulating the Nuclear Reactor through Changes of the Fraction of Delayed Neutrons: Theoretical Probabilities,"*Journal of Modern Physics*, Vol. 1 No. 6, 2010, pp. 379-384. doi: 10.4236/jmp.2010.16054.

nullD. Filippov, L. Urutskoev, V. Rachkov, O. Gadzaova and L. Lebedev, "Regulating the Nuclear Reactor through Changes of the Fraction of Delayed Neutrons: Theoretical Probabilities,"

References

[1] M. Jung, F. Bosch, K. Beckert, et al. “First Observation of Bound-State Beta-Decay,” Physics Review Letters, Vol. 69, No. 15, 1992, pp. 2164-2167.

[2] F. Bosch, T. Faestermann, J. Friese, et al. “Observation of Bound-State β-Decay of Fully Ionized 187Re: 187Re-187Os Cosmochronometry,” Physics Review Letters, Vol. 77, No. 26, 1996, pp. 5190-5193.

[3] D. V. Filippov, “Increase in the Probability of Forbidden Electron Beta Decays in a Superstrong Magnetic Field,” Nuclear Physics, Vol. 70, No. 12, 2007, pp. 2016-2024.

[4] D. V. Filippov, A. A. Rukhadze and L. I. Urutskoev, “Effects of Atomic Electrons on Nuclear Stability and Radioactive Decay,” Ann. Fond. L. de Broglie, Vol. 29, No. 3, 2004, p. 1207.

[5] A. A. Rukhadze, D. V. Filippov and L. I. Urutskoev, “Effect of Beta Decay to Bound States in Ionized Atoms on the Fraction of Delayed Neutrons,” Nuclear Physics A, Vol. 69, No. 5, 2006, pp. 792-795.

[6] Y. P. Gangrsky, F. F. Karpeshin, M. B. Trzhaskovskaya and Y. E. Penionzhkevich, “Effect of Beta-Electron Cap-ture to a Bound State on Delayed-Neutron Emission from Fission Fragments,” Nuclear Physics A, Vol. 71, No. 6, 2008, pp. 951-955.

[7] R. V. Meghreblian and D. K. Holmes, Reactor Analysis, McGRAW-HILL, New York, 1960.

[8] J. N. Bahcall, “Theory of Bound-State Beta Decay,” Physical Review, Vol. 124, No. 2, 1961, pp. 495-499.

[9] K. Takahashi and K. Yokoi, “Nuclear β-Decays of Highly Ionized Heavy Atoms in Stellar Interiors,” Nuclear Phys-ics A, Vol. 404, No. 3, 1983, pp. 578-598.

[10] K. Takahashi, et al. “Bound-State Beta Decay of Highly Ionized Atoms,” Physical Review C, Vol. 36, No. 4, 1987, pp. 1522-1528.

[11] I. S. Batkin, “On the Decay of Bound States,” Izv. Akad. Nauk SSSR, Ser. Fiz., Vol. 40, 1976, p. 1279.

[12] M. A. Preston, Physics of the Nucleus, Addison-Wesley, Reading, Massachusetts, 1962.

[13] Y. P. Gangrsky, B. Dalkhsuren and B. N. Markov, Nu-clear-Fission Fragments, Energoatomizdat, Moscow, 1986.

[14] R. J. Elliott and R. Loudon, “Theory of the Absorption Edge in Semiconductors in a High Magnetic Field,” Journal of Physics and Chemistry of Solids, Vol. 15, No. 3-4, 1960, pp. 196-207.

[15] B. B. Kadomtsev, “Heavy Atom in a Superstrong Mag-netic Field,” Soviet Physics-JETP, Vol. 31, 1970, p. 945.

[16] B. B. Kadomtsev and V. S. Kudryavtsev, “Atoms in a Superstrong Magnetic Field,” JETP Letters, Vol. 13, 1971, No. 1, pp. 42-44.

[1] M. Jung, F. Bosch, K. Beckert, et al. “First Observation of Bound-State Beta-Decay,” Physics Review Letters, Vol. 69, No. 15, 1992, pp. 2164-2167.

[2] F. Bosch, T. Faestermann, J. Friese, et al. “Observation of Bound-State β-Decay of Fully Ionized 187Re: 187Re-187Os Cosmochronometry,” Physics Review Letters, Vol. 77, No. 26, 1996, pp. 5190-5193.

[3] D. V. Filippov, “Increase in the Probability of Forbidden Electron Beta Decays in a Superstrong Magnetic Field,” Nuclear Physics, Vol. 70, No. 12, 2007, pp. 2016-2024.

[4] D. V. Filippov, A. A. Rukhadze and L. I. Urutskoev, “Effects of Atomic Electrons on Nuclear Stability and Radioactive Decay,” Ann. Fond. L. de Broglie, Vol. 29, No. 3, 2004, p. 1207.

[5] A. A. Rukhadze, D. V. Filippov and L. I. Urutskoev, “Effect of Beta Decay to Bound States in Ionized Atoms on the Fraction of Delayed Neutrons,” Nuclear Physics A, Vol. 69, No. 5, 2006, pp. 792-795.

[6] Y. P. Gangrsky, F. F. Karpeshin, M. B. Trzhaskovskaya and Y. E. Penionzhkevich, “Effect of Beta-Electron Cap-ture to a Bound State on Delayed-Neutron Emission from Fission Fragments,” Nuclear Physics A, Vol. 71, No. 6, 2008, pp. 951-955.

[7] R. V. Meghreblian and D. K. Holmes, Reactor Analysis, McGRAW-HILL, New York, 1960.

[8] J. N. Bahcall, “Theory of Bound-State Beta Decay,” Physical Review, Vol. 124, No. 2, 1961, pp. 495-499.

[9] K. Takahashi and K. Yokoi, “Nuclear β-Decays of Highly Ionized Heavy Atoms in Stellar Interiors,” Nuclear Phys-ics A, Vol. 404, No. 3, 1983, pp. 578-598.

[10] K. Takahashi, et al. “Bound-State Beta Decay of Highly Ionized Atoms,” Physical Review C, Vol. 36, No. 4, 1987, pp. 1522-1528.

[11] I. S. Batkin, “On the Decay of Bound States,” Izv. Akad. Nauk SSSR, Ser. Fiz., Vol. 40, 1976, p. 1279.

[12] M. A. Preston, Physics of the Nucleus, Addison-Wesley, Reading, Massachusetts, 1962.

[13] Y. P. Gangrsky, B. Dalkhsuren and B. N. Markov, Nu-clear-Fission Fragments, Energoatomizdat, Moscow, 1986.

[14] R. J. Elliott and R. Loudon, “Theory of the Absorption Edge in Semiconductors in a High Magnetic Field,” Journal of Physics and Chemistry of Solids, Vol. 15, No. 3-4, 1960, pp. 196-207.

[15] B. B. Kadomtsev, “Heavy Atom in a Superstrong Mag-netic Field,” Soviet Physics-JETP, Vol. 31, 1970, p. 945.

[16] B. B. Kadomtsev and V. S. Kudryavtsev, “Atoms in a Superstrong Magnetic Field,” JETP Letters, Vol. 13, 1971, No. 1, pp. 42-44.