Some physical consequences of the ABFST multiperipheral model
- Univ. of California, Berkeley, CA (United States)
The solution of the Amati-Bertocchi-Fubini-Stanghellini-Tonin multiperipheral integral equation with a narrow-resonance kernel is investigated. First, an approximate scheme that leads to a tractable analytic approximate solution is presented for both the forward and nonforward equations. ..Next, the exact numerical solutions are displayed for the relevant values of the input parameters: These results serve as a measure of the accuracy of various analytic approximate solutions. The approximate solution present here is found to be good to within about 10$ in the region of interest. The absolute magnitude of the high' energy pseudoscalar-meson (μ) - baryon (B) total cross section is calculated in an SU(3)- symmetric model by using this approximate solution and the approximation that the low energy μB amplitude is dominated by the baryon pole plus the first elastic resonance. The result is comparable to data at the presently highest available energy. The theoretical and phenomenological implications of the high energy off-shell behavior given by this solution are also studied. The improvement of the model by including the high energy scattering part in the kernel, thus giving a new nolution consisting of Regge pole and cut, is briefly discussed.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- US Atomic Energy Commission (AEC)
- DOE Contract Number:
- W-7405-ENG-48
- NSA Number:
- NSA-27-001357
- OSTI ID:
- 4620621
- Report Number(s):
- LBL--1038
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ABFST EQUATION
BARYONS
BARYONS/interactions with pseudoscalar mesons at high energies
ABFST multiperipheral model with narrow-resonance kernel for total cross sections in SU(3)-symmetric model for forward
(T)
ELEMENTARY PARTICLE MODELS/ABFST multiperipheral
MESONS
PSEUDOSCALAR/interactions with baryons at high energies
ABFST multiperipheral model with narrow-resonance kernel for total cross sections in SU(3)-symmetric model for forward
(T)
MULTIPERIPHERAL MODEL
PSEUDOSCALAR MESONS
STRONG INTERACTIONS
SU-3 GROUPS
SYMMETRY GROUPS/SU(3) model for total cross sections for forward pseudoscalar meson interactions with baryons at high energies
TOTAL CROSS SECTIONS
with narrow-resonance kernel for total cross sections for forward pseudoscalar meson interactions with baryons at high energies in SU(3) symmetric model
ABFST EQUATION
BARYONS
BARYONS/interactions with pseudoscalar mesons at high energies
ABFST multiperipheral model with narrow-resonance kernel for total cross sections in SU(3)-symmetric model for forward
(T)
ELEMENTARY PARTICLE MODELS/ABFST multiperipheral
MESONS
PSEUDOSCALAR/interactions with baryons at high energies
ABFST multiperipheral model with narrow-resonance kernel for total cross sections in SU(3)-symmetric model for forward
(T)
MULTIPERIPHERAL MODEL
PSEUDOSCALAR MESONS
STRONG INTERACTIONS
SU-3 GROUPS
SYMMETRY GROUPS/SU(3) model for total cross sections for forward pseudoscalar meson interactions with baryons at high energies
TOTAL CROSS SECTIONS
with narrow-resonance kernel for total cross sections for forward pseudoscalar meson interactions with baryons at high energies in SU(3) symmetric model