Summary
A formalism is developed to describe in a unified fashion intermediate-energy grazing collisions between two composite systems. The starting point is the reduction of the Schroedinger equation to an approximated Glauber-like differential equation, still retaining the effects of finite excitation energy in different channels. The basic feature characterizing this method is that the dynamics of the interaction of the two systems is described in terms of an evolution equation resembling, in spatial coordinates, the time-dependent «interaction picture» equation. This allows one to introduce into the formalism the method of the phase-shift operator; in this connection several approximated expressions of the scattering amplitude are examined. The formalism is developed with reference to the heavy-ion physics and is proven to be well suited to describe elastic and inelastic scattering both in the framework of microscopic and collective descriptions of the colliding nuclei.
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References
Satchler G. R.,Direct Nuclear Reactions (Clarendon Press, Oxford) 1983.
Broglia R. A. andWinther A.,Heavy Ion Reactions (Addison-Wesley) 1991.
Alder K. andWinther A.,Electromagnetic Excitation (North-Holland, Amsterdam) 1975.
Bertulani C. A. andBaur G.,Phys. Rep.,163 (1988) 299.
Zardi F., Lenzi S. M. andVitturi A.,Phys. Rev. C,49 (1994) 1635.
Feshbach H. andHüfner J.,Ann. Phys. (N.Y.),56 (1970) 268.
Amado R. D., McNeil J. andSparrow D. A.,Phys. Rev. C,25 (1982) 13.
Alhassid Y. andShao B.,Phys. Rev. C,46 (1992) 3978.
Zardi F.,Nucl. Phys. A,591 (1995) 489.
Sørensen J. H. andWinther A.,Nucl. Phys. A,550 (1992) 329.
Glauber R. J., inLectures in Theoretical Physics, edited byW. E. Brittin andL. G. Dunham, Vol. I (Wiley Interscience, New York, N.Y.) 1959, p. 315.
Bohr A. andMottelson B.,Nuclear Structure, Vol. 2. (Benjamin, New York, N.Y.) 1975.
Bertulani C. A., Canto L. F., Hussein M. S. andde Toledo Piza A. F. R.,Phys. Rev. C,53 (1996) 334.
Baur G.,Nucl. Phys. A,531 (1991) 685.
Bialynicki-Birula I., Mielnik B. andPlebański J.,Ann. Phys. (N.Y.),51 (1969) 187.
Newton R. G.,Scattering of Waves and Particles (Springer, New York, N.Y.) 1982;Roman P.,Advanced Quantum Theory (Addison-Wesley Pub. Comp. Inc., Reading, Mass.) 1965;Joachain C. J.,Quantum Collision Theory (North Holland, Amsterdam) 1976.
Mandelzweig V. B. andWallace S. J.,Phys. Rev. C,25 (1982) 61.
Kerman A. K., McManus H. andThaler R. M.,Ann. Phys. (N.Y.),8 (1959) 551.
Lenzi S. M., Zardi F. andVitturi A.,Phys. Rev. C,42 (1990) 2079.
Czyż W. andMaximon L. C.,Ann. Phys. (N.Y),52 (1969) 59.
Formánek J.,Nucl. Phys. B,12 (1969) 441.
Alkhazov G. D., Belostotsky S. L. andBorobyov A. A.,Phys. Rep. C,42 (1978) 89.
Ahmad I.,Nucl. Phys. A,247 (1975) 418.
Chauvin J. et al., Phys. Rev. C,28 (1983) 1970.
Alexander Y. andRinat A. S.,Nucl. Phys. A,278 (1977) 525.
Lenzi S. M., Vitturi A. andZardi F.,Phys. Rev. C,38 (1988) 2086.
Lenzi S. M., Vitturi A. andZardi F.,Phys. Rev. C,40 (1989) 2114.
Cucinotta F. A., Khandelwal G. S., Maung K. M., Townsend L. W. andWilson J. W., NASA Technical Paper 2830 (1988).
Lenzi S. M., Vitturi A. andZardi F.,Z. Phys. A,352 (1995) 303.
Iachello F. andArima A.,The Interacting Boson Model (Cambridge University Press, Cambridge, Mass.) 1987.
Ginocchio J. N., Otsuka T., Amado R. D. andSparrow D. A.,Phys. Rev. C,33 (1986) 247.
Bayman B., Lenzi S. M., Nagarajan M. A., Vitturi A. andZardi F., work in progress.
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Zardi, F. A comprehensive eikonal approach to heavy-ion grazing collisions. Nuov Cim A 109, 1219–1237 (1996). https://doi.org/10.1007/BF02798824
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DOI: https://doi.org/10.1007/BF02798824