Analytical dispersive parametrization for elastic scattering of spinless particles
نویسندگان
چکیده
In this paper, we present an improved parametrization of the elastic scattering spin-0 particles, which is based on a dispersive representation for inverse amplitude. Besides being well-known general principles, requirement that amplitude should satisfy dispersion relation significantly constrains its possible forms and have not been incorporated in existing parametrizations so far. While right-hand cut controlled by unitarity, contribution from left-hand cut, comes crossing symmetry, commonly ignored or improperly. The latter parametrized using expansion suitably constructed conformal variable, accounts analytic structure. correct implementations Adler zero threshold factors angular momentum $J>0$ are discussed detail as well. amplitudes written compact form provide useful tool to analyze current future lattice data region improving upon used Breit-Wigner K-matrix approaches.
منابع مشابه
Elastic Scattering of Yuimwa Particles
Elastic scattering -of the heavy particle obeying Bose statistics is examined by the relativistically invariant equations recently developed by Proca and by Dirac. Perturbation calculus of the "variation of constants" type is applied. For the evaluation of certain sums occurring in the scattering cross sections, destruction operators are constructed similar to those first developed by Weisskopf...
متن کاملOn the Non-Abelian Aharonov Bohm Scattering of Spinless Particles
The Aharonov Bohm scattering for spinless, isospin 1/2, particles interacting through a non-Abelian Chern-Simons field is studied. Starting from the relativistic quantum field theory and using a Coulomb gauge formulation, the one loop renormalization program is implemented. Through the introduction of an intermediary cutoff, separating the regions of high and low integration momentum, the nonre...
متن کاملScattering solutions of the spinless Salpeter equation
A method to compute the scattering solutions of a spinless Salpeter equation ~or a Schrödinger equation! with a central interaction is presented. This method relies on the three-dimensional Fourier grid Hamiltonian method used to compute bound states. It requires only the evaluation of the potential at equally spaced grid points and yields the radial part of the scattering solution at the same ...
متن کاملSPINLESS SALPETER EQUATION Some (Semi-) Analytical Approaches
The eigenvalue equation of a semirelativistic Hamiltonian composed of the relativistic kinetic term of spin-0 particles and static interactions is called spinless Salpeter equation. It is regarded as relativistic generalization of the nonrelativistic Schrödinger approach, or as approximation to the homogeneous Bethe–Salpeter equation in its instantaneous limit. The nonlocality inherent to this ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review
سال: 2023
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.107.074021