vol. 7, p. 227 (10 pages)
•abstract
The present paper is an attempt to generalize the canonical quantization procedure for the Dirac field to curved spaces. Thereby the metric field acts as an unquantized back-ground field which is not influenced by the quantized Dirac field. After the investigation of a 3-dimensional eigenvalue problem the equations of motion are derived for the field operators in the Heisenberg picture. Finally we consider special Riemannian spaces admitting the Killing vectors.
direct link to the full text (pdf)
https://www.actaphys.uj.edu.pl/R/7/4/227/pdf
link to the articles list
https://www.actaphys.uj.edu.pl/R/7/4/227
cite as
Acta Phys. Pol. B 7, 227 (1976)
vol. 7, p. 237 (9 pages)
•abstract
The influence of a time-dependent gravitational field (Robertson–Walker metric with spherical 3-space) on a quantized scalar field conformally coupled to the geometry is studied for two different cases: prescribed background field and reaction on the metric. In the latter model, the expectation values of the stress-energy tensor are the only source terms in the Einstein equations. The equation of state contains the limiting regimes of matter-dominated (\(P=0\)) and radiation-dominated (\(P =\frac {1}{3}\varepsilon \)) dynamics.
direct link to the full text (pdf)
https://www.actaphys.uj.edu.pl/R/7/4/237/pdf
link to the articles list
https://www.actaphys.uj.edu.pl/R/7/4/237
cite as
Acta Phys. Pol. B 7, 237 (1976)
vol. 7, p. 247 (7 pages)
•abstract
The Källén–Lehmann spectral function for the product \(\sigma _{\mu _1}\dots \sigma _{\mu _n}{\mit \Delta }^+(x;a) \sigma _{\nu _1}\dots \sigma _{\nu _m}{\mit \Delta }^+(x;b)\) is calculated. It is shown that the spectral function can be obtained without explicit calculations of the integral by means of algebraic methods.
direct link to the full text (pdf)
https://www.actaphys.uj.edu.pl/R/7/4/247/pdf
link to the articles list
https://www.actaphys.uj.edu.pl/R/7/4/247
cite as
Acta Phys. Pol. B 7, 247 (1976)
vol. 7, p. 255 (6 pages)
•abstract
In this note we apply the results of our previous paper to the investigation of spectral representation of one-loop diagram with arbitrary spin for a class of derivative couplings.
direct link to the full text (pdf)
https://www.actaphys.uj.edu.pl/R/7/4/255/pdf
link to the articles list
https://www.actaphys.uj.edu.pl/R/7/4/255
cite as
Acta Phys. Pol. B 7, 255 (1976)
vol. 7, p. 261 (3 pages)
•abstract
It is shown that the dual model given by Dorren, Rittenberg and Yaffe, similar to the dual Pokorski–Satz model, leads to the Gribov–Morrison rule for the parent states. In the Pokorski–Satz model this parity rule does not apply to the daughters. In the model considered by us the first daughter under \(N_{\gamma }\)-trajectory satisfies the Gribov–Morrison rule.
direct link to the full text (pdf)
https://www.actaphys.uj.edu.pl/R/7/4/261/pdf
link to the articles list
https://www.actaphys.uj.edu.pl/R/7/4/261
cite as
Acta Phys. Pol. B 7, 261 (1976)
vol. 7, p. 265 (11 pages)
•abstract
Isospin-zero and isospin-one clusters are constructed out of pions and used to describe final states with the correct value of the total isospin in high energy proton–proton collisions. General formulas for averages and correlation functions are given. A model for uncorrelated production and decay of clusters is studied in detail and shown to give good agreement with experiment.
direct link to the full text (pdf)
https://www.actaphys.uj.edu.pl/R/7/4/265/pdf
link to the articles list
https://www.actaphys.uj.edu.pl/R/7/4/265
cite as
Acta Phys. Pol. B 7, 265 (1976)
vol. 7, p. 277 (11 pages)
•abstract
Absolute values of the real part of the pp, \(\overline {\rm p}\)p forward scattering amplitude and the slope of the differential cross section have been determined on the basis of data on the elastic differential cross section outside the region of the Coulomb interference. The method is based on the optimal use of analyticity of the scattering amplitude in the cos \(\theta \) plane and leads to significantly larger absolute values of the real part and slope in comparison with those obtained by means of the Bethe formula on the basis of data on differential cross sections in the region of the Coulomb interference.
direct link to the full text (pdf)
https://www.actaphys.uj.edu.pl/R/7/4/277/pdf
link to the articles list
https://www.actaphys.uj.edu.pl/R/7/4/277
cite as
Acta Phys. Pol. B 7, 277 (1976)
all authors
J. Płoskonka, K. Grotowski, A. Kapuścik, A. Strzałkowski, L. Zybert, R. Zybert
vol. 7, p. 289 (14 pages)
•abstract
The excitation functions for the \(^{24}\)Mg(\(\alpha \),p)\(^{27}\)Al and \(^{24}\)Mg(\(\alpha \),\(\alpha \))\(^{24}\)Mg reactions leading to several excited states of \(^{27}\)Al and \(^{24}\)Mg, respectively, were measured at \(\theta _{\rm lab}=40^{\circ }\), 80\(^{\circ }\)32’, 144\(^{\circ }\)19’, and 175\(^{\circ }\) over an \(\alpha \)-energy range of 23.05–28.55 MeV, in \(\sim 200\) keV steps. Statistical analysis of these excitation functions was performed. The direct interaction contribution \(y_{\rm D}\) to the reactions studied was obtained from auto-correlation coefficients. Cross-correlation coefficients calculated between different reaction channels did not indicate the existence of resonances common to all investigated channels. The final state spin dependence of the cross-sections for the \(^{24}\)Mg(\(\alpha \),p)\(^{27}\)Al reaction was also examined. It is in a good agreement with the predictions of the statistical model of compound nucleus reactions.
direct link to the full text (pdf)
https://www.actaphys.uj.edu.pl/R/7/4/289/pdf
link to the articles list
https://www.actaphys.uj.edu.pl/R/7/4/289
cite as
Acta Phys. Pol. B 7, 289 (1976)
▲ top
PL ISSN 0587-4254 • APPB printed version
PL ISSN 1509-5770 • APPB electronic version
PL ISSN 1899-2358 • APPB Proc. Suppl. printed version
PL ISSN 2082-7865 • APPB Proc. Suppl. electronic version
Acta Physica Polonica B
Faculty of Physics, Astronomy and Applied Computer Science
S. Łojasiewicza 11, 30-348 Kraków, Poland
phone: (+48) 12 664 49 68 • (+48) 12 664 46 46
e-mail: acta.phys.pol.b@uj.edu.pl