Electromagnetic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ρ</mml:mi></mml:math>-meson form factors in point-form relativistic quantum mechanics

Biernat, Elmar P.; Schweiger, Wolfgang

doi:10.1103/physrevc.89.055205

Cited by 29 publications

(58 citation statements)

References 53 publications

(167 reference statements)

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“…Furthermore, in contrast to what happened using the approach in the electromagnetic case [10,12], we are able to extract all form factors of mesons with spin 0 decaying into mesons of spin 0 and to spin 1 without the need of introducing any non-physical contribution -spurious form factor-to correct covariant deficiencies of the current.…”

Section: Discussionmentioning

confidence: 95%

“…The mass operatorM , which depends on internal variables only, is the quantity of interest, since it contains the information of the internal structure of the system. The procedure to calculate invariant amplitudes of hadronic reactions, from which currents and form factors can be extracted, has been elaborately explained along several works, in which both electromagnetic and weak decays are considered (see [10,11,14] for illustration, and [12,19] for deep details). We summarize here the most important steps that are required for the study of the processes in which we are interested, and will refer to the more extended literature when necessary.…”

Section: Relativistic Multichannel Formalism and Hadron Currentsmentioning

confidence: 99%

“…It is known that the Bakamjian-Thomas construction produces problems related to cluster separability [3], which enter the calculation of form factors and may lead to unphysical contributions in the electromagnetic current [10,12,13]. It was observed in [14] that this is not the case in time-like processes, such as the weak decays we are going to consider in this work.…”

Section: Introductionmentioning

confidence: 96%

“…It was initially applied to calculate the spectrum and decay widths of vector and axial-vector mesons within the chiral constituent quark model [8,9]. Later, electromagnetic properties of spin-0 and spin-1 twobody bound states with equal-constituent masses were studied [10][11][12]. More recently, the relativistic multichannel formalism was extended to unequal-mass constituents and to weak decay form factors in the time-like momentum transfer region [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

“…[8][9][10][11][12][13][14][15][16][17][18][19][20][21]). Relativistic quantum mechanics, unlike quantum field theory, considers a restricted number of degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

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Semileptonic meson decays in point-form relativistic quantum mechanics: Unambiguous extraction of weak form factors

Gómez-Rocha

2014

Phys. Rev. D

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The point-form version of the Bakamjian-Thomas construction is applied to the description of several semileptonic decays of mesons. Weak form factors are extracted without ambiguity for pseudoscalar-to-pseudoscalar as well as for pseudoscalar-to-vector transitions of mesons from the most general covariant decomposition of the weak current. No manifestation of cluster-separability violation appears in the form of non-physical contributions to the structure of such a current, in contrast to what happens in the electromagnetic case. Moreover, no frame dependence is observed when we extract the form factors from the most general covariant decomposition of the current, which contrasts with analogous front-form calculations that involve vector mesons in the transition. We present our results for heavy-light meson decays, i.e. B → D, as well as for B and D mesons decaying into π, ρ and K ( * ) and perform a numerical comparison with the analogous front-form approach. Differences between point and front forms that are not seen in the heavy-quark limit of qQ-systems appear. These differences are attributed to the different role that the non-valence contributions play in the description of hadronic reactions in each form. It is argued how contributions from missing Z-graphs can be estimated.

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Section: Discussionmentioning

confidence: 95%

Section: Relativistic Multichannel Formalism and Hadron Currentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

“…[8][9][10][11][12][13][14][15][16][17][18][19][20][21]). Relativistic quantum mechanics, unlike quantum field theory, considers a restricted number of degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

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Semileptonic meson decays in point-form relativistic quantum mechanics: Unambiguous extraction of weak form factors

Gómez-Rocha

2014

Phys. Rev. D

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Pion-Cloud Contribution to the $$N\rightarrow \varDelta $$ Transition Form Factors

Jung

Schweiger

2020

Recent Progress in Few-Body Physics

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We examine the contribution of the pion cloud to the electromagnetic N → ∆ transition form factors within a relativistic hybrid constituent-quark model. In this model baryons consist not only of the 3q valence component, but contain, in addition, a 3qπ non-valence component. We start with constituent quarks which are subject to a scalar, isoscalar confining force. This leads to an SU (6) spin-flavor symmetric spectrum with degenerate nucleon and Delta masses. Mass splitting is caused by pions which are assumed to couple directly to the quarks. The point-form of relativistic quantum mechanics is employed to achieve a relativistically invariant description of this system. The N → ∆ transition current is then determined from the one-photon exchange contribution to the ∆ electroproduction amplitude. We will give predictions for the ratios REM and RSM of electric to magnetic and Coulomb to magnetic form factors, which are supposed to be most sensitive to pion-cloud effects.

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Constituent-Quark Model with Pionic Contributions: Electromagnetic $${\varvec{N\rightarrow \varDelta }}$$ N → Δ Transition

2018

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We report on ongoing work to determine the pion-cloud contribution to the electromagnetic N → Δ transition form factors. The starting point is an SU (6) spin-flavor symmetric constituent-quark model with instantaneous confinement that is augmented by dynamical pions which couple directly to the quarks. This system is treated in a relativistically invariant way within the framework of point-form quantum mechanics using a multichannel formulation. The first step is to determine the electromagnetic form factors of the bare particles that consist only of three quarks. These form factors are basic ingredients for calculating the pioncloud contributions. Already without the pion cloud, electromagnetic nucleon and N → Δ transition form factors compare reasonably well with the data. By inclusion of the pion-cloud contribution coming from the π − N intermediate state the reproduction of the data is further improved.

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Electromagneticρ-meson form factors in point-form relativistic quantum mechanics

Cited by 29 publications

References 53 publications

Semileptonic meson decays in point-form relativistic quantum mechanics: Unambiguous extraction of weak form factors

Semileptonic meson decays in point-form relativistic quantum mechanics: Unambiguous extraction of weak form factors

Pion-Cloud Contribution to the $$N\rightarrow \varDelta $$ Transition Form Factors

Constituent-Quark Model with Pionic Contributions: Electromagnetic $${\varvec{N\rightarrow \varDelta }}$$ N → Δ Transition

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