Effects of finite size of constituent quarks on nucleon–nucleon interaction

Shastry, Vanamali; Kumar, Kuldeep

doi:10.1088/1361-6471/ab0f07

Cited by 2 publications

(1 citation statement)

References 38 publications

(53 reference statements)

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“…In principle, the integration starts at origin (r = 0) but because of a singularity the integration has to start at some finite value close to but different from the origin and stick to the limitations of the boundary conditions. We have chosen the closest nonzero distance between the quark and antiquark to be of the order of the quark size as suggested in [58]. Also, the normalized wave functions for the respective states are determined numerically.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Bottomonium spectroscopy motivated by general features of pNRQCD

Chaturvedi

Kumar

Soni

et al. 2020

J. Phys. G: Nucl. Part. Phys.

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The bottomonium mass spectra are computed in the framework of potential non-relativistic quantum chromodynamics. The potential consists of a static term incorporating the Coulomb plus confinement part along with a correction term added non-perturbatively from pNRQCD, which is classified in powers of the inverse of the heavy quark mass O(1/m). The masses of excited bottomonia are calculated by perturbatively adding spin–hyperfine, spin–orbit and tensor components of one-gluon exchange interactions in powers of O(1/m 2). Calculated masses are found to be consistent with other theoretical studies and experimental data. The Regge trajectories of the calculated mass spectra are also constructed. The values of the wave functions are extracted and employed to calculate the electromagnetic transition widths and γγ, e + e −, light hadron and γγγ decay widths of several states at various leading orders, within the non-relativistic QCD formalism. Some of the experimentally reported states of bottomonium family like ϒ(10 860), ϒ(11 020) and X(10 610) are identified as mixed S–D wave and P wave states.

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Section: Theoretical Frameworkmentioning

confidence: 99%