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Pomeranchuk conjecture and symmetry schemes

Conference:

Abstract

Pomeranchuk has conjectured that the cross-sections for charge-exchange processes vanish asymptotically as the energy tends to infinity. (By ''charge'' it is meant any internal quantum number, like electric charge, hypercharge, .. . ). It has been stated by several people that this conjecture implies equalities among the total cross-sections whenever any symmetry scheme is invoked for the strong interactions. But to our knowledge no explicit general proof of this statement has been given so far. We want to give this proof for any compact Lie group. We also prove, under certain assumptions, that the equality of the total cross-sections implies that s{sup -l} times the charge-exchange forward scattering absorptive amplitudes tend to zero as s -> ∞.
Publication Date:
Jan 15, 1963
Product Type:
Conference
Resource Relation:
Conference: Seminar on Theoretical Physics, Trieste (Italy), 16 Jul - 25 Aug 1962; Other Information: 2 refs.; Related Information: In: Theoretical Physics. Lectures presented at the Seminar on Theoretical Physics| 650 p.
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; CHARGE EXCHANGE; ELECTRIC CHARGES; HYPERCHARGE; LIE GROUPS; SCATTERING; STRONG INTERACTIONS; TOTAL CROSS SECTIONS
OSTI ID:
22568118
Research Organizations:
International Atomic Energy Agency, Vienna (Austria)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ISSN 0074-1884; TRN: XA17M0049012276
Submitting Site:
INIS
Size:
page(s) 265-271
Announcement Date:
Feb 25, 2017

Conference:

Citation Formats

Galindo, A., Morales, A., Ruegg, H., European Organization for Nuclear Research, Geneva (Switzerland), and University of Geneva, Geneva (Switzerland)]. Pomeranchuk conjecture and symmetry schemes. IAEA: N. p., 1963. Web.
Galindo, A., Morales, A., Ruegg, H., European Organization for Nuclear Research, Geneva (Switzerland), & University of Geneva, Geneva (Switzerland)]. Pomeranchuk conjecture and symmetry schemes. IAEA.
Galindo, A., Morales, A., Ruegg, H., European Organization for Nuclear Research, Geneva (Switzerland), and University of Geneva, Geneva (Switzerland)]. 1963. "Pomeranchuk conjecture and symmetry schemes." IAEA.
@misc{etde_22568118,
title = {Pomeranchuk conjecture and symmetry schemes}
author = {Galindo, A., Morales, A., Ruegg, H., European Organization for Nuclear Research, Geneva (Switzerland), and University of Geneva, Geneva (Switzerland)]}
abstractNote = {Pomeranchuk has conjectured that the cross-sections for charge-exchange processes vanish asymptotically as the energy tends to infinity. (By ''charge'' it is meant any internal quantum number, like electric charge, hypercharge, .. . ). It has been stated by several people that this conjecture implies equalities among the total cross-sections whenever any symmetry scheme is invoked for the strong interactions. But to our knowledge no explicit general proof of this statement has been given so far. We want to give this proof for any compact Lie group. We also prove, under certain assumptions, that the equality of the total cross-sections implies that s{sup -l} times the charge-exchange forward scattering absorptive amplitudes tend to zero as s -> ∞.}
place = {IAEA}
year = {1963}
month = {Jan}
}