Asymptotic Behavior of Boson Regge Trajectories
DOI:
https://doi.org/10.15407/ujpe66.2.97Keywords:
asymptotics, Regge trajectoriesAbstract
The asymptotic behavior of boson Regge trajectories is studied. Upper and lower bounds on the asymptotic growth of the trajectories are obtained using the phase representation for the trajectories and a number of physical requirements. It is shown that, within the assumptions made, the asymptotic behavior of the trajectories is a square root.
References
A.I.Bugrij, J.Cohen-Tannoudji, L.L. Jenkovszky, N.A.Kobylinsky. Dual amplitudes with Mandelstam analyticity. Fortschr. Phys. 21, 427 (1973). https://doi.org/10.1002/prop.19730210902
L.L. Jenkovszky. Dual properties of DAMA. Yad. Fiz. 21, 645 (1975) (in Russian).
N.A. Kobylinsky. Properties of p-trajectories. Ukr. Fiz. Zh. 20, 163 (1975) (in Russian)
A.I. Bugrij, N.A. Kobylinsky. Are the p- and A2-trajectories linear? Ann. Phys. 32, 297 (1975) https://doi.org/10.1002/andp.19754870409
A.I. Bugrij, N.A. Kobylinsky. Simple analytical model of boson Regge trajectories. Preprint ITF-74-53P (Institute for Theoretical Physics, Kyiv, 1974) (in Russian).
T.A. Lasinski, A. Barbaro-Galtieri, R.L. Kelly et al. Review of particle properties. Rev. Mod. Phys. 45, No. 2, part II, 1 (1973). https://doi.org/10.1103/RevModPhys.45.S1
M. Ida. Asymptotic behaviour of infinitely rising meson trajectories. Prog. Theor. Phys. 40, 901 (1968). https://doi.org/10.1143/PTP.40.901
H. Fleming, T. Sawada. General results on the asymptotic behaviour of Regge trajectories. Lett. Nuovo Cim. 1, 1045 (1971). https://doi.org/10.1007/BF02770412
H. Fleming, E. Predazzi. Some speculations on the Pomeranchuk trajectory. Lett. Nuovo Cim. 4, 556 (1970). https://doi.org/10.1007/BF02755313
H. Fleming. Asymptotic behaviour of Regge trajectories and width. Lett. Nuovo Cim. 3, 363 (1972). https://doi.org/10.1007/BF02757223
H. Fleming, A.M. Filho. Upper bounds for the asymptotic behaviour of Regge trajectories. Nuovo Cim. 14A, 215 (1973). https://doi.org/10.1007/BF02734615
H. Fleming. Maximum behaviour of Regge trajectories at infinity. Phys. Rev. D 8, 1256 (1973). https://doi.org/10.1103/PhysRevD.8.1256
R.W. Childers. Second-sheet poles and maximum behaviour of Regge trajectories at infinity. Phys. Rev. D 2, 1178 (1970). https://doi.org/10.1103/PhysRevD.2.1178
N.N. Khuri. Possibility of an infinite sequence of Regge recurrences. Phys. Rev. Lett. 18, 1094 (1967). https://doi.org/10.1103/PhysRevLett.18.1094
R.W. Childers. Asymptotic behaviour of infinitely rising trajectories. Phys. Rev. Lett. 21, 868 (1968). https://doi.org/10.1103/PhysRevLett.21.868
C.E. Jones, V.L. Teplitz. Investigation of the hypotheses of Khuri's theorem of Regge-pole asymptotes. Phys. Rev. Lett. 19, 185 (1967). https://doi.org/10.1103/PhysRevLett.19.135
T. Becherrawy. Indefinitely rising trajectories. Lett. Nuovo Cim. 7, 867 (1973). https://doi.org/10.1007/BF02727508
D. Atkinson, K. Dietz. Indefinitely rising Regge trajectories and crossing symmetry. Phys. Rev. 177, 2579 (1969). https://doi.org/10.1103/PhysRev.177.2579
S. Mandelstam. Rising Regge trajectories and dynamical calculations. Comm. Nucl. Part. Phys. 3, No. 3, 65 (1969).
G. Epstein, P. Kaus. Rising meson trajectories. Phys. Rev. 166, 1633 (1968). https://doi.org/10.1103/PhysRev.166.1633
R.L. Ingraham. Connection of "parabolic" mass and width trajectories with high-energy scattering. Phys. Rev. D 6, 329 (1972). https://doi.org/10.1103/PhysRevD.6.329
J.C. Botke. Infinitely rising trajectories and existence of the Mandelstam representation. Nucl. Phys. B 40, 141 (1972). https://doi.org/10.1016/0550-3213(72)90537-8
H. Meldner. On infinitely rising Regge trajectories. Nuovo Cim. 51A, 882 (1967). https://doi.org/10.1007/BF02721758
R.C. Brower, J. Harter. Kinematic constraints for infinitely rising Regge trajectories. Phys. Rev. 164, 1841 (1967). https://doi.org/10.1103/PhysRev.164.1841
N.G. Antoniou, C.G. Georgalas, C.B. Kouris. On the decay of heavy Regge recurrences. Nuovo Cim. 16A, 135 (1973). https://doi.org/10.1007/BF02785521
D. Sivers. Characteristics of a Regge trajectory with a finite asymptotic phase. Phys. Rev. D 3, 2275 (1971). https://doi.org/10.1103/PhysRevD.3.2275
H. Fleming. Asymptotic behaviour of fermionic trajectories. Lett. Nuovo Cim. 7, 209 (1973). https://doi.org/10.1007/BF02727414
D.V. Shirkov. Properties of the Regge pole trajectories. Usp. Fiz. Nauk 102, 87 (1970) (in Russian). https://doi.org/10.3367/UFNr.0102.197009d.0087
M. Sugawara, A. Tubis. Phase representation of analytic function. Phys. Rev. 130, 2127 (1963). https://doi.org/10.2172/4664549
S. Caser, J.M. Kaplan, R. Omnes. Rising Regge trajectories and symmetry. Nuovo Cim. 59A, 571 (1969). https://doi.org/10.1007/BF02753162
H. Cheng, T.S. Wu. Regge poles for large coupling constants. Phys. Rev. D 5, 3189 (1972). https://doi.org/10.1103/PhysRevD.5.3189
Downloads
Published
How to Cite
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.
.png){kind=small}
