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

TANG Xue-Tian; LU Zhong-Dao; WANG Shu-Nuan

Chinese Physics C> 1985, Vol. 9> Issue(3) : 349-355

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

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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.

References

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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
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Corresponding author: TANG Xue-Tian,

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1985-06-05

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

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