Chiral limit of a fermion-scalar <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:math> system in covariant gauges

نویسندگان

چکیده

The homogeneous Bethe-Salpeter equation (BSE) of a (1/2)$^+$ bound system, that has both fermionic and bosonic degrees freedom, we call {\em mock nucleon}, is studied in Minkowski space, order to analyse the chiral limit covariant gauges. After adopting an interaction kernel built with one-particle exchange, $\chi$-BSE numerically solved by means Nakanishi integral representation light-front projection. Noteworthy, induces scale-invariance model consequently generates wealth striking features: i) it reduces number non trivial weight functions only one; ii) form surviving function factorized dependence on two relevant variables, compact non-compact iii) coupling constant becomes explicit real exponent governing power-law fall-off function. thorough investigation at large transverse-momentum amplitudes, obtained massive constituents, provides confirmation expected universal fall-off, exponents predicted our non-perturbative framework. Finally, one can shed light govern approach upper extremum longitudinal-momentum fraction distribution when varies.

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ژورنال

عنوان ژورنال: Physical review

سال: 2023

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.107.096019