scholarly journals Higgs particles interacting via a scalar dark matter field

2017 ◽  
Vol 95 (2) ◽  
pp. 151-155
Author(s):  
Yajnavalkya Bhattacharya ◽  
Jurij W. Darewych
Keyword(s):  
Dark Matter ◽  
Bound States ◽  
Wave Equations ◽  
Fock Space ◽  
Hamiltonian Formalism ◽  
Approximate Solutions ◽  
Bound State ◽  
Matter Field ◽  
Coupling Constants ◽  
Relativistic Wave

We study a system of two Higgs bound state, interacting via a real scalar dark matter (DM) mediating field, without imposing Z2 symmetry on the DM sector of the postulated Lagrangian. The variational method in the Hamiltonian formalism of QFT is used to derive relativistic wave equations for the two-Higgs system, using a truncated Fock space trial state. Approximate solutions of the two-body relativistic coupled integral equations are presented, and conditions for the existence of Higgs bound states are examined in a broad parameter space of DM mass and coupling constants.

scholarly journals Generalized relativistic wave equations with intrinsic maximum momentum

2014 ◽  
Vol 29 (15) ◽  
pp. 1450080 ◽  
Author(s):  
Chee Leong Ching ◽  
Wei Khim Ng
Keyword(s):  
Bound States ◽  
Wave Equations ◽  
Scalar Potential ◽  
Bound State ◽  
Relativistic Wave Equations ◽  
Wave Functions ◽  
Relativistic Wave ◽  
One Dimensional ◽  
Nonperturbative Effect ◽  
Klein Gordon

We examine the nonperturbative effect of maximum momentum on the relativistic wave equations. In momentum representation, we obtain the exact eigen-energies and wave functions of one-dimensional Klein–Gordon and Dirac equation with linear confining potentials, and the Dirac oscillator. Bound state solutions are only possible when the strength of scalar potential is stronger than vector potential. The energy spectrum of the systems studied is bounded from above, whereby classical characteristics are observed in the uncertainties of position and momentum operators. Also, there is a truncation in the maximum number of bound states that is allowed. Some of these quantum-gravitational features may have future applications.

Variational wave equations for relativistic few-body systems in QFT

2006 ◽  
Vol 84 (6-7) ◽  
pp. 625-632 ◽  
Author(s):  
J W Darewych
Keyword(s):  
Field Theory ◽  
Bound States ◽  
Wave Equations ◽  
Body Wave ◽  
Hamiltonian Formalism ◽  
Approximate Solutions ◽  
Quantum Field ◽  
Fermion Fields ◽  
Variational Wave ◽  
03.65 Ge

The variational method in a reformulated Hamiltonian formalism of quantum field theory is used to derive relativistic few-body wave equations for scalar and Fermion fields. Analytic and approximate solutions of some two-body bound states are presented.PACS Nos.: 03.65.Pm, 03.65.Ge, 03.70.+k, 11.10.Ef, 11.10.St, 11.15.Tk, 36.10.Dr

Relativistic three-particle bound states in scalar quantum field theory

1993 ◽  
Vol 71 (7-8) ◽  
pp. 365-379 ◽  
Author(s):  
Leo Di Leo ◽  
Jurij W. Darewych
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Bound States ◽  
Wave Equations ◽  
Hamiltonian Formalism ◽  
Relativistic Effects ◽  
Approximate Solutions ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Quantum Field

We derive relativistic three-particle wave equations for scalar particles [Formula: see text], [Formula: see text], and [Formula: see text], interacting via a massive or massless scalar field, χ. The variational method, within the Hamiltonian formalism of quantum field theory, is used to obtain the equations using a simple [Formula: see text] Ansatz. Approximate solutions of these equations are presented for various strengths of the coupling. The magnitude of the relativistic effects in the three-particle energies and wave functions is illustrated by comparison with nonrelativistic results.

scholarly journals Indirect searches for dark matter bound state formation and level transitions

2020 ◽  
Vol 9 (5) ◽  
Author(s):  
Iason Baldes ◽  
Francesca Calore ◽  
Kalliopi Petraki ◽  
Vincent Poireau ◽  
Nicholas L. Rodd
Keyword(s):  
Dark Matter ◽  
State Formation ◽  
Bound States ◽  
Bound State ◽  
Photon Mass ◽  
Dark Photon ◽  
Dissipation Of Energy ◽  
Light Force

Indirect searches for dark matter (DM) have conventionally been applied to the products of DM annihilation or decay. If DM couples to light force carriers, however, it can be captured into bound states via dissipation of energy that may yield detectable signals. We extend the indirect searches to DM bound state formation and transitions between bound levels, and constrain the emission of unstable dark photons. Our results significantly refine the predicted signal flux that could be observed in experiments. As a concrete example, we use Fermi-LAT dwarf spheroidal observations to obtain constraints in terms of the dark photon mass and energy which we use to search for the formation of stable or unstable bound states.

scholarly journals RELATIVISTIC WAVE EQUATIONS OF n-BODY SYSTEMS OF FERMIONS AND ANTIFERMIONS OF VARIOUS MASSES IN QUANTUM ELECTRODYNAMICS

2012 ◽  
Vol 21 (11) ◽  
pp. 1250091 ◽  
Author(s):  
MOHSEN EMAMI-RAZAVI ◽  
NANTEL BERGERON ◽  
JURIJ W. DAREWYCH
Keyword(s):  
Variational Method ◽  
Quantum Electrodynamics ◽  
Wave Equations ◽  
Hamiltonian Formalism ◽  
Exchange Interactions ◽  
Relativistic Wave Equations ◽  
Relativistic Wave ◽  
Relativistic Limit ◽  
Photon Exchange

The variational method in a reformulated Hamiltonian formalism of quantum electrodynamics (QED) is used to derive relativistic wave equations for systems consisting of n fermions and antifermions of various masses. The derived interaction kernels of these equations include one-photon exchange interactions. The equations have the expected Schrödinger non-relativistic limit. Application to some exotic few lepton systems is discussed briefly.

scholarly journals Closed form bound-state perturbation theory

1980 ◽  
Vol 3 (2) ◽  
pp. 351-368 ◽  
Author(s):  
Ollie J. Rose ◽  
Carl G. Adler
Keyword(s):  
Perturbation Theory ◽  
Eigenvalue Problem ◽  
Closed Form ◽  
Bound States ◽  
Integral Form ◽  
Approximate Solutions ◽  
Perturbation Parameter ◽  
Bound State ◽  
The Given ◽  
Natural Way

The perturbed Schrödinger eigenvalue problem for bound states is cast into integral form using Green's Functions. A systematic algorithm is developed and applied to the resulting equation giving rise to approximate solutions expressed as functions of the given perturbation parameter. As a by-product, convergence radii for the traditional Rayleigh-Schrödinger and Brillouin-Wigner perturbation theories emerge in a natural way.

Bound and resonant relativistic two-particle states in scalar quantum field theory

1992 ◽  
Vol 70 (6) ◽  
pp. 412-426 ◽  
Author(s):  
Leo Di Leo ◽  
Jurij W. Darewych
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Wave Equations ◽  
Decay Channel ◽  
Hamiltonian Formalism ◽  
Bound State ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Quantum Field ◽  
Scalar Quantum

We derive relativistic particle–antiparticle wave equations for scalar particles, [Formula: see text] and [Formula: see text], interacting via a massive or massless scalar field, χ (the Wick–Cutkosky model). The variational method, within the Hamiltonian formalism of quantum field theory is used to derive equations with and without coupling of this quasi-bound [Formula: see text] system to the χχ decay channel. Bound-state energies in the massless case are compared with the ladder Bethe–Salpeter and light-cone results. In the case of coupling to the decay channel, the quasi-bound [Formula: see text] states are seen to arise as resonances in the χχ scattering cross section. Numerical results are presented for the massive and massless χ case.

scholarly journals Bound states of WIMP dark matter in Higgs-portal models. Part II. Thermal decoupling

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Ruben Oncala ◽  
Kalliopi Petraki
Keyword(s):  
Dark Matter ◽  
Bound States ◽  
Weak Interactions ◽  
Higgs Doublet ◽  
Bound State ◽  
Companion Paper ◽  
Range Interaction ◽  
The Standard Model ◽  
Doublet Model ◽  
Higgs Portal

Abstract The Higgs doublet can mediate a long-range interaction between multi-TeV particles coupled to the Weak interactions of the Standard Model, while its emission can lead to very rapid bound-state formation processes and bound-to-bound transitions. Using the rates calculated in a companion paper, here we compute the thermal decoupling of multi-TeV WIMP dark matter coupled to the Higgs, and show that the formation of metastable dark matter bound states via Higgs-doublet emission and their decay decrease the relic density very significantly. This in turn implies that WIMP dark matter may be much heavier than previously anticipated, or conversely that for a given mass, the dark matter couplings to the Higgs may be much lower than previously predicted, thereby altering the dark matter phenomenology. While we focus on a minimal singlet-doublet model in the coannihilation regime, our calculations can be extended to larger multiplets where the effects under consideration are expected to be even more significant.

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