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《中国物理C》(英文)编辑部
2024年10月30日

STATISICAL THEORIES OF PREEQUILIBRIUM NUCLEAR REACTIONS AND THE HAUSER-FESHBACH FORMULA

  • It is proved that the contribution to the fluctuation cross sections from the equilibrium stage in all the microscopic theories and phenomenological approaches advanced so far of precompound reactions is given by the conventional Hauser-Feshbach formula, and that the Hauser-Feshbach cross section makes the leading part of the total cross sections. This conclusion is intuitive, and our proof, not like the numerical illustration as some people do in this regard, is thoroughly a theoretical one.
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  • [1] J. J. Griffin, Phys. Rev. Lett., 17(1966), 478;J. J. Griffin, Phys. Rev. Lett., 24B(1967), 5.[2] M. Blann, Ann. Rev. Nucl. Sci., 25 (1971), 123;M. Blann, Phys. Rev. Lett., 27(1971), 337;M. Blann and A. Mignerey, Nucl. Phys., A186 (1972), 245.M. Blann, Nucl. Phys., A213 (1973), 570.[3] C. Mahaux and H. A. Weidenmüller, Ann. Rev. Nucl. Part. Sci., 29(1979), 1.[4] H. A. Weidenmiiller, Preprint: Talk at ANTWERP Conf., 1982.[5] D. Agassi, H. A. Weidenmüller and G. Mantzouranis, Phys. Rep., 22C (1975), 145.[6] H. Feshbach, A. Kerman and S. Koonin, Ann. Phys., 125( 1980), 429.[7] W. A. Friedman, M. S. Hussein, K. W. Mcvoy and P. A. Mello: Phys. Rep., 77(1981), 47.[8] K W. Mcvoy and X. T. Tang, Phys. Rep., 94 (1983), 139.[9] T. Ericson, Phys. Rev. Lett., 5(1960), 430;D. M. Brink and R. O. Stephen, Phys. Lett., 5(1963), 77;T. Ericson, Ann. Phys., (N. Y), 23(1963), 390;T. Erinon and T. Mayer-Kudruk, Ann. Rev. Nucl. Sci., 16(1966), 183.A. Richter, Nuclear Spectroscopy and Reaction, ed. J. Cerny, (Academic Press, New York, 1974).[10] X. T. Tang, Phys. Lett., 104B (1981), 99.[11] X. T. Tang and K W. Mcvoy, Phys. Lett., 121B (1983), 21.[12] J. M. Akkerrnans, H. GruppeIaar and G. Reffo, Phys. Rev., C22(1980), 73.[13] K. W. Mcvoy and X. T. Tang, Phys. Lett., 119B (1982), 1.[14] H. A. Weidenmüller, Progress in Particle and Nuclear Physics, 3(1980), pp. 49-126.
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TANG Xue-Tian, LU Zhong-Dao and WANG Shu-Nuan. STATISICAL THEORIES OF PREEQUILIBRIUM NUCLEAR REACTIONS AND THE HAUSER-FESHBACH FORMULA[J]. Chinese Physics C, 1985, 9(3): 349-355.
TANG Xue-Tian, LU Zhong-Dao and WANG Shu-Nuan. STATISICAL THEORIES OF PREEQUILIBRIUM NUCLEAR REACTIONS AND THE HAUSER-FESHBACH FORMULA[J]. Chinese Physics C, 1985, 9(3): 349-355. shu
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Received: 1900-01-01
Revised: 1900-01-01
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STATISICAL THEORIES OF PREEQUILIBRIUM NUCLEAR REACTIONS AND THE HAUSER-FESHBACH FORMULA

    Corresponding author: TANG Xue-Tian,

Abstract: It is proved that the contribution to the fluctuation cross sections from the equilibrium stage in all the microscopic theories and phenomenological approaches advanced so far of precompound reactions is given by the conventional Hauser-Feshbach formula, and that the Hauser-Feshbach cross section makes the leading part of the total cross sections. This conclusion is intuitive, and our proof, not like the numerical illustration as some people do in this regard, is thoroughly a theoretical one.

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