Abstract
We investigate here the origin of nuclear levelwidth as an effect of the coupling of particle mode and the surface vibration mode of the nucleus. This interaction is taken to be stochastic in nature, characterized by a single correlation timet 0, the random nature of the interaction originating from the partition of the total hamiltonian into those of the two modes. The Redfield equation of motion for the density matrix for the particle mode is solved. The solution of the Redfield equation shows that the occupation number in any particle state decays with a time constant depending on the correlation timet 0 and the quantum-mechanical matrix elements of the interaction hamiltonian. The inverse of this decay time will give the width of this level. Numerical calculations have been done for 20782 Pb125.
Similar content being viewed by others
References
Abragam A 1961Principles of nuclear magnetism, (Oxford: Clarendon Press)
Bertsch G F, Bortignon P F and Broglia R A 1983Rev. Mod. Phys. 55 287
Blomqvist J and Wahlborn S 1959Ark. Phys. 16 545
Bohr A and Mottelson B R 1969Nuclear structure (New York: Benjamin) Vol. 1
Bohr A and Mottelson B R 1973Annu. Rev. Nucl. Sci. 23 363
Bohr A and Mottelson B R 1975Nuclear structure (New York: Benjamin) Vol. 2
Bortignon P F and Broglia R A 1981Nucl. Phys. A371 405
Broglia R A, Lilley J S, Perazzo R and Phillips W R 1970Phys. Rev. C1 1508
Fano U 1957Rev. Mod. Phys. 29 74
Fox R F 1978Phys. Rep. 48 180
Graham R 1973 inQuantum statistics; Springer tracts in modern physics (ed.) G Hoehler (Berlin: Springer-Verlag) Vol. 66
Gross D H E 1979Z. Phys. A291 145
Hardy J C 1981Proc. Fourth Int. Conf. on nuclei far from stability Vol. 1, p. 217, CERN preprint 81-09
Jeukenne J P, Lejune A and Mahaux C 1976Phys. Rep. C25 83
Malmskog S G, Berg V and Hoglund A 1970Proc. Int. Conf. on the Prop. of nuclei far from the region of beta stability Vol. 2, p. 1116, CERN preprint, 70-30
Mantzouranis G 1981Z. Phys. A301 51, 301
Mottelson B R 1967Topics in nuclear structure theory, Niko Summer School Lecture, Nordita Publ. no. 288, 1
Mukamel S, Smilansky U, Gross D H E, Koehring K and Sobel M I 1981Nucl. Phys. A366 339
Sann H J, Dehnhart W, Kistner O C, Kump P, Kutscera W and Pooh B 1970Proc. Int. Conf. on the prop. of nuclei far from the region of beta stability, Vol. 2; p. 905, CERN preprint 70-30
Siemssen R, Jones W, Jacobs W, Foster C, Miller D, Saber M and Soga F 1981Phys. Lett. B103 323
van Hove L 1957Physica 23 441
van Kampen N G 1978 inStochastic processes in nonequilibrium systems Lecture Notes in Physics, no. 84, (Berlin: Springer-Verlag)
van Vliet K M 1978J. Math. Phys. 19 1345
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rudra, N., Rudra, P. Stochastic model of nuclear levelwidth. Pramana - J Phys 26, 409–417 (1986). https://doi.org/10.1007/BF02845713
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02845713