Abstract.
We present here analytic expressions for the generalised Lindhard function, also referred to as Fermi gas polarisation propagator, in a relativistic kinematic framework and in the presence of various resonances and vertices. Particular attention is payed to its real part, since it gives rise to substantial difficulties in the definition of the currents entering the dynamics.
Similar content being viewed by others
References
A.L. Fetter, J.D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
J. Lindhard, K. Dan. Vidensk. Selsk. Mat.-Fys. Medd. 28, No. 8 (1954).
R. Cenni, P. Saracco, Nucl. Phys. A 487, 279 (1988).
R. Cenni, F. Conte, A. Cornacchia, P. Saracco, Rivista Nuovo Cimento 15, No. 12 (1992).
G.B. West, Phys. Rep. 18, 263 (1975).
A. Facco-Bonetti, Phys. Rev. A 58, 993 (1998).
H. Kurasawa, T. Suzuki, Nucl. Phys. A 445, 685 (1985).
J.E. Amaro, M.B. Barbaro, J.A. Caballero, T.W. Donnelly, A. Molinari, Phys. Rep. 368, 317 (2002).
W.M. Alberico, R. Cenni, A. Molinari, P. Saracco, Phys. Rev. C 38, 2389 (1988).
J.E. Amaro, M.B. Barbaro, J.A. Caballero, T.W. Donnelly, A. Molinari, Nucl. Phys. A 657, 161 (1999).
R. Cenni, T.W. Donnelly, A. Molinari, Phys. Rev. C 56, 276 (1997).
L. Alvarez-Ruso, M.B. Barbaro, T.W. Donnelly, A. Molinari, Phys. Lett. B 497, 214 (2001).
L. Alvarez-Ruso, M.B. Barbaro, T.W. Donnelly, A. Molinari, Nucl. Phys. A 724, 157 (2003).
M.B. Barbaro, J.A. Caballero, T.W. Donnelly, C. Maieron, Phys. Rev. C 69, 035502 (2004).
J. Bernstein, Elementary Particles and Their Currents, (W.H. Freeman and Company, San Francisco, London, 1968).
P.A. Moldauer, K.M. Case, Phys. Rev. 102, 279 (1956).
M. Kirchbach, M. Napsuciale, hep-ph/0407179 preprint.
G. Velo, D. Zwanziger, Phys. Rev. 186, 1337 (1969).
G. Velo, D. Zwanziger, Phys. Rev. 188, 2218 (1969).
R.C.E. Devenish, T.S. Eisenschitz, J.G. Körner, Phys. Rev. D 14, 3063 (1976).
Author information
Authors and Affiliations
Corresponding author
Additional information
A. Molinari
Rights and permissions
About this article
Cite this article
Barbaro, M.B., Cenni, R. & Quaglia, M.R. The generalised relativistic Lindhard functions. Eur. Phys. J. A 25, 299–318 (2005). https://doi.org/10.1140/epja/i2005-10105-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epja/i2005-10105-4