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The real time exponential decay laws for meta-stable charged particles are shown to require radiative corrections. The methods employed are well known to be valid for radiatively correcting Breit-Wigner line shapes. Radiative corrections…

High Energy Physics - Phenomenology · Physics 2011-07-19 A. Widom , J. Swain , Y. N. Srivastava

We develop methods to extract resonance widths from finite volume spectra of 1+1 dimensional quantum field theories. Our two methods are based on Luscher's description of finite size corrections, and are dubbed the Breit-Wigner and the…

High Energy Physics - Theory · Physics 2008-11-26 B. Pozsgay , G. Takacs

The general form of solutions for parameters of interfering Breit-Wigner resonances is found. The number of solutions is determined by the properties of roots of corresponding characteristic equation and does not exceed $2^{N-1}$, where $N$…

Data Analysis, Statistics and Probability · Physics 2015-05-08 V. M. Malyshev

The Voigt profile is one of the most used special function in optical spectroscopy. In particle physics a version of this profile which originates from relativistic Breit-Wigner resonance distribution often appears, however, in the…

Mathematical Physics · Physics 2019-03-29 Radosław A. Kycia , Stanisław Jadach

A general expression resembling Breit-Wigner formulae is derived for the description of resonances which appear in meson-meson scattering. Starting point is a unitarised meson model, but reduced to a simpler form and freed from the specific…

High Energy Physics - Experiment · Physics 2008-11-26 Eef van Beveren , George Rupp

The multiple-solution problem in determining the three-interfering-resonances' parameters from a fit to an experimentally measured distribution is considered in a mathematical viewpoint. In this paper it is shown that there are four…

High Energy Physics - Phenomenology · Physics 2018-04-18 X. Han , C. P. Shen

We derive a simple formula for the width of a multi-channel resonance state. To this end, we use a deformed square-well potential and solve the coupled-channels equations. We obtain the $S$-matrix in the Breit-Wigner form, from which…

Nuclear Theory · Physics 2019-12-06 K. Hagino , H. Sagawa , S. Kanaya , A. Odahara

In the course of devising a simple method for extraction of the S-matrix poles from the data, an additional fundamental resonance property emerged. It is a reaction invariant quantity, and since it is directly related to the Breit-Wigner…

High Energy Physics - Phenomenology · Physics 2015-03-17 S. Ceci , M. Vukšić , B. Zauner

Whether one starts form the analytic S-matrix definition or the requirement of gauge parameter independence in renormalization theory, a relativistic resonance is given by a pole at a complex value s of energy squared. The complex number s…

High Energy Physics - Phenomenology · Physics 2009-11-10 Arno R. Bohm , Yoshihiro Sato

Radiative corrections are studied within an extension of the standard model, containing extra singlet scalars. The calculations determine the effect of a large width of the Higgs boson on radiative corrections. They throw some light on the…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. J. van der Bij

We consider the masses used in recent studies involving the nonstrange sector of the l=1 baryons. The use of T-matrix and K-matrix poles versus the conventional Breit-Wigner masses is discussed within the context of a large-Nc fitting…

Nuclear Theory · Physics 2009-10-31 R. L. Workman

Estimates of Breit-Wigner parameters of nucleon resonances were obtained by phenomenological analysis of eta meson photoproduction on protons performed completely by statistical procedures without appealing to theoretical models

Nuclear Theory · Physics 2007-05-23 E. V. Balandina , E. M. Leikin , N. P. Yudin

The consistent description of resonant transition amplitudes within the framework of perturbative field theories necessitates the definition and resummation of off-shell Green's functions, which must respect several crucial physical…

High Energy Physics - Phenomenology · Physics 2008-11-26 Joannis Papavassiliou

The deformation quantization formalism is applied to the linearized gravitational field. Standard aspects of this formalism are worked out before the ground state Wigner functional is obtained. Finally, the propagator for the graviton is…

High Energy Physics - Theory · Physics 2015-05-30 Hugo Garcia-Compean , Francisco J. Turrubiates

We show that a slightly modified Breit-Wigner formula can successfully describe the total cross section even for the broad resonances, from light rho(770) to the heavy Z boson. In addition to mass, width, and branching fraction, we include…

High Energy Physics - Phenomenology · Physics 2013-10-01 S. Ceci , M. Korolija , B. Zauner

The Wigner function formalism which relates source size parameters to experimental ``HBT radii'' extracted from two-particle Bose-Einstein correlations is generalized to azimuthally deformed and longitudinally tilted sources. It is…

Nuclear Theory · Physics 2009-10-09 Ulrich W. Heinz

The Rayleigh-Ritz procedure for determining bound-states of the Schr\"{o}dinger equation relies on spectral representation of the solution as a linear combination of the basis functions. Several possible extensions of the method to…

Quantum Physics · Physics 2020-09-22 Arkadiusz Kuroś , Przemysław Kościk , Anna Okopińska

We consider a simplified model for resonant neutron-nucleus interaction with coupled channels. An analytical solution is given for two coupled channels and arbitrary neutron orbital momentum. A case of a week channel coupling, corresponding…

Nuclear Theory · Physics 2009-10-28 A. L. Barabanov

We discuss several methods which can be used to distinguish the graviton resonances of the Randall-Sundrum model from the graviton-like resonances which may occur in other theories. The Breit-Wigner line shape of the RS graviton is found to…

High Energy Physics - Phenomenology · Physics 2016-09-06 Thomas G. Rizzo

New integrable multi-atom matter-radiation models with and without rotating wave approximation (RWA) are constructed and exactly solved through algebraic Bethe ansatz. The models with RWA are generated through ancestor model approach in an…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Anjan Kundu
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