Asymptotic behavior of the pion electromagnetic form factors in Bethe-Salpeter model

✍ Scribed by S.N Biswas; Santokh Singh; Thakur Vidhani

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 494 KB
• Volume: 83
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(74)90381-9

✦ Synopsis

Asymptotic behavior of the pion form factors has been discussed treating pion as a bound state of the elementary nucleon and antinucleon system. The matrix-element of the electromagnetic current is written in terms of the Bethe-Salpeter amplitude for the nucleon-antinucleon bound system. Using suitable approximations the Bethe-Salpeter equation for nucleon-antinucleon bound state with nucleons as Dirac spinors has been solved and the corresponding off-shell pion form factors are determined. The form factors are strongly interaction dependent. For coupling g':16a" = 15,'4 the form factors vanish asymptotically like t-l and for 141'4 c g'/l6& < 15;4 the form factors still vanish but less rapidly than t-l.