Instantaneous Bethe–salpeter Equation: Improved Analytical Solution
نویسندگان
چکیده
Studying the Bethe–Salpeter formalism for interactions instantaneous in the rest frame of the bound states described, we show that, for bound-state constituents of arbitrary masses, the mass of the ground state of a given spin may be calculated almost entirely analytically with high accuracy, without the (numerical) diagonalization of the matrix representation obtained by expansion of the solutions over a suitable set of basis states. PACS numbers: 11.10.St, 03.65.Ge ∗ E-mail address : [email protected] † E-mail address : [email protected] 1
منابع مشابه
Instantaneous Bethe–salpeter Equation: (semi-)analytical Solution
The Bethe–Salpeter equation for bound states of a fermion–antifermion pair in the instantaneous approximation for the involved interaction kernel is converted into an equivalent matrix eigenvalue problem with explicitly (algebraically) given matrices. PACS numbers : 11.10.St, 03.65.Ge ∗ E-mail address : [email protected] ‡ E-mail address : [email protected] † E-mail address : franz.schoebe...
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