منابع مشابه
Analysis of resonance production using relativistic Gamow vectors
The calculation of an amplitude involving resonance production is presented. This calculation employs for the resonance state a relativistic Gamow vector. It is used for investigating the question of compatibility of the relativistic Gamow vectors kinematics, defined by real 4-velocities and complex mass, with the stable particle kinematics; or in other words, the integration of the Gamow vecto...
متن کاملGamow Vectors and Borel Summation
We analyze the detailed time dependence of the wave function ψ(x, t) for one dimensional Hamiltonians H = −∂ x + V (x) where V (for example modeling barriers or wells) and ψ(x, 0) are compactly supported. We show that the dispersive part of ψ(x, t), its asymptotic series in powers of t−1/2, is Borel summable. The remainder, the difference between ψ and the Borel sum, is a convergent expansion o...
متن کاملCalculation of the Scattering Amplitude for Resonance Production using Relativistic Gamow Vectors
Relativistic Gamow vectors were originally obtained from the Smatrix pole term for resonance formation experiments. They furnish an irreducible representation of the Poincare semi-group in the forward light cone and are characterized by spin and the complex pole position, very much like stable relativistic particles are labeled by spin and mass, and defined by Wigner’s basis vectors of unitary ...
متن کاملA Pedestrian Introduction to Gamow Vectors
The Gamow vector description of resonances is compared with the S-matrix and the Green function descriptions using the example of the square barrier potential. By imposing different boundary conditions on the time independent Schrödinger equation, we obtain either eigenvectors corresponding to real eigenvalues and the physical spectrum or eigenvectors corresponding to complex eigenvalues (Gamow...
متن کاملGamow-teller Sum Rule in Relativistic Nuclear Models
Relativistic corrections are investigated to the Gamow-Teller(GT) sum rule with respect to the difference between the β− and β+ transition strengths in nuclei. Since the sum rule requires the complete set of the nuclear states, the relativistic corrections come from the anti-nucleon degrees of freedom. In the relativistic mean field approximation, the total GT strengths carried by the nucleon s...
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ژورنال
عنوان ژورنال: International Journal of Theoretical Physics
سال: 2003
ISSN: 0020-7748
DOI: 10.1023/b:ijtp.0000005961.79955.4a