Summary
First, success and failure of the usual linear charged PS meson theory of nuclear forces are discussed and reasons given for non-linear terms, yielding finite potential. Second, a new method of solution of the deuteron problem is given and applied to a regular PS potential. It is shown that the discussed non-linear PS theory yields far better results for the deuteron than the linear theory.
Riassunto
Si discutono in primo luogo il successo e il fallimento della teoria mesonica pseudoscalare delle forze nucleari e si dà ragion dei termini non lineari che dànno potenziali finiti. Si dà poi un nuovo metodo per la soluzione del problema del deutone e lo si applica a un potenziale pseudoscalare regolare. Si dimostra che la teoria pseudoscalare non lineare discussa fornisce per il deutone risultati assai migliori di quelli forniti dalla teoria lineare.
Similar content being viewed by others
References
J. Heidmann:Journ. Phys. et Rad.,14, 481 (1953);R. Moorhouse:Adv. in Phys.,2, 185 (1953);Burfening et al.: Phys. Rev.,75, 382 (1949);W. J. Boldanskij et al.: Usp. fiz. Nauk SSSR,48, 531 (1952);G. Eder:Acta Phys. Austr.,8, 234 (1954).
J. Gunn:Adv. in Phys.,2, 213 (1953);E. Henley:Phys. Rev.,87, 42 (1952);R. Marshak:Meson Physics (New York, 1952);Rev. Mod. Phys.,23, 137 (1952).;G. Lüders et al.: Zeits. f. Naturj.,7a, 213 (1952);J. Šmuškevič:Žurnal eksper. theor. fiz.,22, 251 (1952).
See items 2 and 28 in the EOARDC report 633-C orHull et al.:Phys. Rev.,90, 482 (1953);Komoda:Progr. Theor. Phys.,9, 468 (1953);11, 11 (1954).
M. Taketani:Progr. Theor. Phys.,6, 638 (1951) and6, 635 (1951);S. Machida andS. Onuma:Progr. Theor. Phys.,6, 904 (1951);M. Taketani et al.: Progr. Theor. Phys.,6, 581 (1951);R. Jastrow:Phys. Rev.,91, 749 (1953);M. Lévy:Phys. Rev.,88, 725 (1952), but seeProgr. Theor. Phys.,9, 555 (1953);E. Araki andY. Mori:Progr. Theor. Phys.,6, 188 (1951);M. Lévy:Compt. Rend.,234, 1744 (1946) (1952).
J. Blatt andM. Kalos:Phys. Rev.,92, 1563 (1953);M. Lévy:Phys. Rev.,84, 441 (1951) andMoorhouse (1953).
H. Bethe:Phys. Rev.,57, 390 (1940);Sato:Progr. Theor. Phys.,10, 323 (1953);L. Goldfarb et al.: Phys. Rev.,88, 1099 (1952).
R. Jastrow:Phys. Rev.,79, 389 (1950);Hultén:Ark. Mat. Astr. Fys.,31-A, No. 15, 11 pp. (1945).
K. Brueckner andF. Low:Phys. Rev.,83, 461 (1951);R. Jastrow:Phys. Rev.,81, 165 (1950);81, 636 (1951);Enatsu andTakano:Progr. Theor. Phys.,4, 543 (1949);J. Sato:Progr. Theor. Phys.,10, 323 (1953);K. Brueckner andK. Watson:Phys. Rev.,92, 1023 (1953);S. Machida andK. Nishijima:Progr. Theor. Phys.,7, 57 (1952), not favouring the core:P. Olsson:Ark. f. Fys.,5, 122 (1952);J. Sato:Progr. Theor. Phys.,10, 323 (1953);P. Olsson:Phys. Rev.,83, 845 (1951);N. Austern:Phys. Rev.,88, 1207 (1952);E. Salpeter:Phys. Rev.,91, 994 (1953);Pease andFeshbach:Phys. Rev.,81, 142 (1951).
J. Rayski:Acta Phys. Pol.,11, 314 (1952);Nuovo Cimento,10, 1, (1953).
W. Pauli:Meson Theory of Nuclear Forces (New York, 1946);H. Bethe:Phys. Rev.,57, 260 (1940);Bhabha:Proc. Roy. Soc., O172, 348 (1939);Harish Chandra:Proc. Roy. Soc., A185, 269 (1946);M. Fierz:Helv. Phys. Acta,14, 257 (1941);LeCouteur:Proc. Camb. Phil. Soc.,45, 429 (1949);N. Sil:Ind. Journ. Phys.,27, 311 (1953) andMarshak (1952).
H. Steinwedel:Fortschr. d. Phys.,1, 7 (1953);H. Steinwedel:Sitzungsber. Heidelb. Akad. Math.-Natwiss. Klasse, No. 5, 275, 281 (1950);Zeits. f. Naturf.,7a, 66 (1952);F. Cap:Endliche Feldenergie und Form der Lagrangefunktion (in preparation);R. Finkelstein:Phys. Rev.,75, 1079 (1949).
E. Lüders et al.:Zeits. j. Naturf.,7a, 213 (1952);R. Moorhouse:Adv. in Phys.,2, 185 (1953);W. Heisenberg:Festschrift 200Jahre Akad. Göttingen, p. 50 (1951).
L. Schiff:Phys. Rev.,84, 1 (1951);84, 10 (1951);K. Wildermuth et al.: Zeits. f. Naturf.,9a, 799 (1954);P. Urban andK. Wildermuth:Zeits. f. Naturf.,9a, 748 (1954);W. Thirring:Helv. Phys. Acta,26, 33 (1952);Zeits. f. Naturf.,7a, 63 (1951);Fernbach et al.: Phys. Rev.,75, 1352 (transparency and non-linear terms).
Malenka:Phys. Rev.,85, 686 (1952);Matthews:Phil. Mag.,41, 185 (1950):Glauber:Phys. Rev.,85, 395 (1951);Geilikman:Dokl. Akad. Nauk SSSR,91, 225 (1953);Ivanenko:Dokl. Akad. Nauk SSSR,88, 425 (1953).
Salam:Phys. Rev.,82, 217 (1951) (Meson-Meson-Scattering);W. Thirring:Zeits. f. Naturf.,7a, 63 (1951);K. Brueckner andK. Watson:Phys. Rev.,87, 621 (1952) (Meson-Meson-Interaction);D. Ivanenko andV. Lebedev:žurnal eksper. teor. fiz.,22, 638 (1952).
Bergmann:Phys. Rev.,95, 174 (1954);Beresdteckij:Dokl. Akad. Nauk SSSR,92, 519 (1953).
L. Schiff:Phys. Rev.,84, 10 (1951);J. Steinberger et al.: Phys. Rev.,84, 581 (1951);K. Brueckner andK. Watson:Phys. Rev.,90, 699 (1953).
W. Heisenberg:Kosmische Strahlung (Berlin, 1953);Zeits. f. Phys.,126, 569 (1949);D. Ivanenko et al.: Dokl. Akad. Nauk SSSR,84, 683 (1952);;80, 357 (1951);78, 889 (1951);88, 425 (1953);J. J. Lord, J. Fainberg etM. Schein:Nuovo Cimento,7, 774 (1950);Nature,163, 47 (1949).
L. Schiff:Phys. Rev.,84, 1, 10, 395 (1952);Malenka:Phys. Rev.,85, 686 (1952).
J. Rayski:Acta Phys. Pol.,10, 151, 207 (1951).
F. Cap:Progr. Theor. Phys.,10, 235 (1953);
Phys. Rev.,95, 287 (1954);
Progr. Theor. Phys. (in press).
G. Eder:Acta Phys. Austr.,8, 245 (1952);Rarita andSchwinger:Phys. Rev.,59, 436 (1941);Broyles andHu:Phys. Rev.,79, 247 (1950).
W. Heisenberg:Progr. Theor. Phys.,5, 523 (1950);Taketani:Progr. Theor. Phys.,6, 581 (1951).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cap, F., Gröbner, W. New method for the solution of the deuteron problem, and its application to a regular potential. Nuovo Cim 1, 1211–1222 (1955). https://doi.org/10.1007/BF02731424
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02731424