Optical-model potential in a relativistic quantum field model

[en] The average nucleon-nucleus potential at low and medium energy is investigated in the framework of a relativistic quantum field model. Using the same input parameters as Brockmann in his recent study of nuclear ground states, we calculate the self-consistent relativistic Hartree potential at positive energy in the case of infinite nuclear matter and of [SUP]16[/SUP]O and [SUP]40[/SUP]Ca. This potential is the sum of a scalar operator and of the fourth component of a vector operator. We construct its Schrödinger-equivalent potential by eliminating the small component of the Dirac spinor. The central part of this Schrödinger-equivalent potential is in fair agreement with empirical values at low and intermediate energy. Particular attention is paid to the intermediate energy domain, in which the calculated potential is repulsive in the nuclear interior and attractive at the nuclear surface. This is in keeping with some empirical evidence and is similar to results found in the framework of the nonrelativistic Brueckner-Hartree-Fock approximation. The spin-orbit potential of the relativistic Hartree model is also in good agreement with empirical values. NUCLEAR REACTIONS Calculated average nuclear field of nuclear matter, [SUP]16[/SUP]O and [SUP]40[/SUP]Ca at positive energy from relativistic Hartree approximation.

Disciplines :

Physics

Author, co-author :

Jaminon, Martine ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Département d'astrophys., géophysique et océanographie (AGO)

Mahaux, Claude ; Université de Liège - ULiège > Services généraux (Faculté des sciences) > Relations académiques et scientifiques (Sciences)

Rochus, Pierre ; Université de Liège - ULiège > CSL (Centre Spatial de Liège) - Instrumentation et expérimentation spatiales

Language :

English

Title :

Optical-model potential in a relativistic quantum field model

Publication date :

01 November 1980

Journal title :

Physical Review. C, Nuclear Physics

ISSN :

0556-2813

eISSN :

1089-490X

Publisher :

American Physical Society, Ridge, United States - New York

Volume :

Pages :

2027-2042

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://esoads.eso.org/abs/1980PhRvC..22.2027J

Available on ORBi :

since 10 August 2009

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Bibliography

Mahaux C. Microscopic Optical Potentials , edited by, H. V. Von Geramb, Springer, Berlin; 1979, 1.
Green A.E.S. The Nuclear Many-Body Problem , edited by, F. Calogero, C. Ciofi degli Atti, Editrice Compositori, Bologna; 1973, 771.
Johnson M.H., Teller E. Phys. Rev. 1955, 98:783.
Duerr H.P. Phys. Rev. 1956, 103:469.
Duerr H.P. Phys. Rev. 1958, 109:117.
Duerr H.P. Phys. Rev. 1958, 109:1347.
Humphreys R. Nucl. Phys. 1972, 182 A:580.
Rozsnyai B.F. Phys. Rev. 1961, 124:860.
Noble J.V. Phys. Rev. C 1978, 17:2151.
Noble J.V. Nucl. Phys. 1979, 329 A:354.
Arnold L.G., Clark B.C. Phys. Lett. 1979, 84 B:46.
Jaminon M., Mahaux C., Rochus P. Phys. Rev. Lett. 1979, 43:1097.
Jaminon M., Mahaux C. Proceedings of the Conference on the Meson Theory of Nuclear Forces and Nuclear Matter, Bad Honnef, 1979, edited by, D. Schütte, K. Holinde, K. Bleuler, Bibliographisches Institut AG, Zürich; 1980.
Walecka J.D. Ann. Phys. (N.Y.) 1974, 83:491.
Chin S.A. Ann. Phys. (N.Y.) 1977, 108:301.
Brittan M. Phys. Lett. 1978, 79 B:27.
Miller L.D. Phys. Rev. Lett. 1972, 28:1281.
Miller L.D., Green A.E.S. Phys. Rev. C 1972, 5:241.
Miller L.D. Phys. Rev. C 1974, 9:537.
Miller L.D., MIT; 1975.
Miller L.D. Ann. Phys. (N.Y.) 1975, 91:40.
Brockmann R., Weise W. Phys. Rev. C 1977, 16:1282.
Brockmann R. Phys. Rev. C 1978, 18:1510.
Boguta J., Rafelski J. Phys. Lett. 1977, 71 B:22.
Boguta J., Bodmer A.R. Nucl. Phys. 1977, 292 A:413.
Lohs K.P., Hüfner J. Nucl. Phys. 1978, 296 A:349.
Serr F.R., Walecka J.D. Phys. Lett. 1978, 79 B:10.
Serot B.D. Phys. Lett. 1979, 86 B:146.
Serot B.D., Walecka J.D. Phys. Lett. 1979, 87 B:172.
Arnold L.G., Clark B.C., Mercer R.L., Ravenhall D.G., Saperstein A.M. Phys. Rev. C 1976, 14:1878.
Arnold L.G., Clark B.C., Mercer R.L. Phys. Rev. C 1979, 19:917.
Clark B.C., Arnold L.G., Mercer R.L. Bull. Am. Phys. Soc. 1978, 23:571.
Arnold L.G., Clark B.C., Mercer R.L. Bull. Am. Phys. Soc. 1979, 24:575.
Clark B.C., (private communication); .
Ingemarsson A. (1974) Some Notes on Optical Model Calculations at Medium Energies. Physica Scripta 9:156.
van Oers W.T.H., Haw H., Davison N.E., Ingemarsson A., Fagerström B., Tibell G. Phys. Rev. C 1974, 10:307.
Nadasen A., Schwandt P., Singh P.P., Bacher A.D., Debevec P.T., Jacobs W.W., Kaitchuck M.D., Meek J.T. Phys. Rev. C.
Erkelenz K., Holinde K., Machleidt R..
Holinde K.1978.
Goldberger M.L., Watson K.M. Collision Theory , Wiley, New York; 1964, 340.
Mott N.F. (1929) The Scattering of Fast Electrons by Atomic Nuclei. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 124 A:425.
Mott N.F., Massey H.S.W. The Theory of Atomic Collisions , 3rd, ed., Clarendon, Oxford; 1965, 228.
Messiah A. Quantum Mechanics, North-Holland, Amsterdam, Sec. 20.33; 1961.
Foldy L.L., Wouthuysen S.A. Phys. Rev. 1950, 78:29.
Bjorken J.D., Drell S.D. Relativistic Quantum Mechanics , McGraw-Hill, New York; 1964, 46.
Friar J.L. Phys. Rev. C 1974, 10:955.
Jeukenne J.-P., Lejeune A., Mahaux C. Phys. Rep. 1976, 25 C:83.
van Oers W.T.H. Phys. Rev. C 1971, 3:1550.
Brockmann R., (private communication); .
Friar J.L., Negele J.W. Advances in Nuclear Physics , edited by, M. Baranger, E. Vogt, Plenum, New York; 1975, 8:219.
Wohlfahrt H.D., Shera E.B., Hoehn M.V., Yamazaki Y., Fricke G., Steffen R.M. Phys. Lett. 1978, 73 B:131.
Jeukenne J.-P., Lejeune A., Mahaux C. Phys. Rev. C 1977, 16:80.
van Oers W.T.H., Haw H. Phys. Lett. 1973, 45 B:227.
Abdul-Jalil I., Jackson D.F. J. Phys. G 1979, 5:1699.
Negele J.W. Phys. Rev. C 1970, 1:1260.
Elton L.R.B. Nucl. Phys. 1966, 89:69.
Jeukenne J.-P., Lejeune A., Mahaux C. Proceedings of the International Conference on Nuclear Self-Consistent Fields, Trieste, 1975 , edited by, G. Ripka, M. Porneuf, North-Holland, Amsterdam; 1975, 155.
Clark B.C., Arnold L.G., Mercer R.L. Bull. Am. Phys. Soc. 1980, 25:520.
Clark B.C., Arnold L.G., Mercer R.L., private communication; .
Schwandt P. Bull. Am. Phys. Soc. 1979, 24:824.
Schwandt P., private communication; .
Furry W.H. Phys. Rev. 1936, 50:784.
Arnold L.G., Clark B.C., Mercer R.L. contribution 4C6 to the 8th International Conference on High Energy Physics and Nuclear Structure, Vancouver, 1979.
Green A.E.S., Riewe F., Nack M.L., Miller L.D. The Nuclear Many-Body Problem , edited by, F. Calogero, C. Ciofi degli Atti, Editrice Compositori, Bologna; 1973, 415.
Becchetti F.D., Greenlees G.W. Phys. Rev. 1969, 182:1190.
Brieva F.A., Rook J.R. Nucl. Phys. 1978, 297 A:206.
Jackson D.F., Abdul-Jalil I. J. Phys. G 1980, 6:481.