Bibliographic Citation
Document | |
---|---|
DOI | 10.2172/4664549 |
Title | DOUBLE-PHASE REPRESENTATION OF ANALYTIC FUNCTIONS |
Creator/Author | Sugaware, M. ; Nambu, Y. |
Publication Date | 1963 Jan 01 |
OSTI Identifier | OSTI ID: 4664549 |
Report Number(s) | TID-19142 |
DOE Contract Number | AT(11-1)-264 |
Resource Type | Technical Report |
Resource Relation | Other Information: Orig. Receipt Date: 31-DEC-63 |
Research Org | Purdue Univ., Lafayette, Ind.; Chicago. Univ. Enrico Fermi Inst. for Nuclear Studies; Chicago. Univ. |
Sponsoring Org | USDOE |
Subject | PHYSICS; ANGULAR DISTRIBUTION; CROSS SECTIONS; ELEMENTARY PARTICLES; FIELD THEORY; MANDELSTAM REPRESENTATION; MATHEMATICS; MOMENTUM; REGGE POLES; SCATTERING |
Description/Abstract | The double phase representation for the elastic scattering amplitude A(s,t,u) as a function of the covariant Mandelstam variables s, t, and u is discussed. Conditions for the existence of the double representation, and their implications, are examined. The asymptotic forms of this double phase representation when some of s, t, and u become infinite are derived in the case when the phase approaches the limit at infinity not too slowly. This is the case when the elastic scattering anrplitude exhibits asymptotically a power behavior in energy (usually called the Regge behavior). In particular, the case when the forward peak of high-energy elastic scattering does not shrink is examined closely. No-shrinkage is found to be the case when the phase in the crossed channel does not diverge logarithmically at infinity in its momentum-transfer plane. If the forward peak shrinks, the above phase diverges logarithmically at infinity ln the case of no-shrinkage, the asymptotic shape of the forward peak is determined solely by the phase in the crossed channel. Furthermore, the above shape assumes a pure exponential function of the covariant momentum-transfer squared when momentum-transfer is small, and approaches a power behavior in the same variable for large momentumtransfer. Some of the specific predictions of the phase representation approach to high-energy elastic scattering are listed. (auth) |
Country of Publication | United States |
Language | English |
Format | Size: Pages: 35 |
System Entry Date | 2008 Dec 18 |
Top |