Summary
In this paper we compare two different approaches to the angular-momentum dependence of the fireball mass spectrum. In the first, the fireball is essentially assimilated to a classic object included in a volumeV 0. It is either a two—point-particle system or a flywheel of fixed radius. In the second approach, the fireball is an assembly of uncoupled multiparticle resonances at fixed angular momentumJ and total energym to which the bootstrap condition is applied. In the first case for the average\(\bar J\) it was found the behaviour\(\bar J \sim \sqrt {m/m_\pi } \), while for the second case we show that\(\bar J \sim m/m_\pi \).
Riassunto
In questo lavoro si paragonano due differenti analisi dello spettro di massa della fireball come funzione del momento angolare. Nella prima, la fireball è rappresentata da un oggetto semiclassico racchiuso in un volumeV 0. Esso è sia un sistema di due particelle puntiformi sia una trottola relativistica di raggio fisso. Nella seconda, la fireball è descritta da un insieme di stati risonanti a molte particelle con momento angolareJ fisso ed energia totalem fissa fra i quali non c'è interazione, ma che obbediscono ad un conteggio di bootstrap. Nel primo caso, per il valore medio\(\bar J\) fu trovato l'andamento\(\bar J \sim \sqrt {m/m_\pi } \), mentre per il secondo caso noi troviamo\(\bar J \sim m/m_\pi \).
Резюме
В этой статье мы сравниваем два различных подхода к исследованию зависимости массового спектра файрболов от момента. В первом подходе файрбол уподобляется классическому обьекту, заключенному в обьемеV 0. В этом случае файрбол представляет либо систему двух точечных частиц, либо «маховик» фиксированного радиуса. Во втором подходе файрбол представляет совокупность несвязанных многочастичных резонансов при фиксированных моментеJ и полной энергииm, к которым применяется условие бутстрапа. В первом случае для среднего\(\bar J\) получаем соотношение\(\bar J \sim \sqrt {m/m_\pi } \), тогда как для второго случая, мы имеем\(\bar J \sim m/m_\pi \).
Similar content being viewed by others
References
F. Cerulus:Nuovo Cimento,22, 958 (1961).
R. Hagedorn andU. Wambach:Large transverse momenta from statistical bootstrap with spin, TH. 2242-CERN.
C. B. Chiu andR. L. Heimann:Phys. Rev. D,4, 3184 (1971).
A. Bassetto andL. Sertorio:Nuovo Cimento,14 A, 548 (1973).
L. Sertorio andM. Toller:Nuovo Cimento,14 A, 21 (1973).
L. Sertorio:Statistical mechanics at high energy density, Los Alamos Laboratory, preprint.
S. Frautschi:Phys. Rev D,3, 2821 (1971);S. Frautschi andC. J. Hamer:Phys. Rev. D,4, 2125 (1971).
W. Nahm:Nucl. Phys.,81 B, 164 (1974).
S. Fubini andG. Veneziano:Nuovo Cimento,64 A, 811 (1969);G. Veneziano: talk presented at theInternational Conference on Duality and Symmetry in Hadron Physics (Tel-Aviv, 1971);R. Hagedorn: lectures given at theAcademic Training Programme of Strong Interactions (1970–71).
L. Corgnier andA. D'Adda:Nuovo Cimento,66 A, 253 (1970).
C. B. Chiu, R. L. Heimann andA. Schwimmer:Phys. Rev. D,4, 3177 (1971).
H. J. Bernstein, R. Dashen andS. Ma:Phys. Rev.,187, 345 (1969).
R. Dashen andS. Ma:Journ. Math. Phys.,11, 1136 (1970).
S. Frautschi:Resonance widths and Ericson fluctuations, presented at theWorkshop on Theoretical Physics (Erice, 1975).
I. S. Gradshtein andI. M. Ryzhik:Tables of Integral Series and Products (New York, N. Y., 1965).
Author information
Authors and Affiliations
Additional information
Переведено редакцией.
Rights and permissions
About this article
Cite this article
Fiore, R., Spandonari, T. & Sertorio, L. Remarks on theJ-dependence of the bootstrap mass spectrum. Nuov Cim A 39, 576–593 (1977). https://doi.org/10.1007/BF02771032
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02771032