Mass Scaling of Quantum Tunnelling in Hydrogen Bonds: From Analytical Models to Multidimensional Quantum Dynamics

We develop an analytical–numerical framework for quantum tunnelling in hydrogen bonds, revealing a universal scaling law where tunnelling splitting depends exponentially on the square root of effective isotope mass, consistent across 1D models and multidimensional quantum calculations.

Krishna Kingkar Pathak

Apr 14, 2026

The European Physical Journal C

Behind the Paper

Mapping the Parameter Space of the Cornell Potential: Constraints on Strong Coupling and Confinement in QCD Models

Introduction We analyse the parameter space of the Cornell potential, deriving constraints on the strong coupling αs and constant term c that ensure consistent perturbative treatment and convergence in QCD-inspired models of heavy–light mesons.

Krishna Kingkar Pathak

Apr 11, 2026

The European Physical Journal Plus

Behind the Paper

Resolving Meson Hyperfine Structure with a Smeared Cornell Potential Across Heavy–Light and Heavy–Heavy Systems

We revisit meson hyperfine splitting using a QCD-inspired Cornell potential with Gaussian smearing and analytic wavefunctions, achieving consistent predictions across D, B, and quarkonium systems while resolving short-distance divergences.

Krishna Kingkar Pathak

Apr 11, 2026

Behind the Paper

A Universal Scaling Law for Quantum Tunneling and Isotope Effects

Quantum tunneling allows particles to cross barriers classically forbidden. We show a universal law: tunneling decreases exponentially with the square root of isotope mass, explaining strong hydrogen–deuterium effects across physics, chemistry, and biology.

Krishna Kingkar Pathak

Apr 06, 2026

Few-Body Systems

Behind the Paper

When First-Order Isn’t Enough: Understanding Perturbative Consistency in Confining Two-Body Systems

In physics, approximations are essential—but are they always reliable? In this work, I explore confining two-body systems and show that first-order corrections can fail for sensitive observables, making higher-order analysis necessary for consistent results.

Krishna Kingkar Pathak

Apr 06, 2026

Krishna Kingkar Pathak (He/Him)

Mass Scaling of Quantum Tunnelling in Hydrogen Bonds: From Analytical Models to Multidimensional Quantum Dynamics

Mapping the Parameter Space of the Cornell Potential: Constraints on Strong Coupling and Confinement in QCD Models

Resolving Meson Hyperfine Structure with a Smeared Cornell Potential Across Heavy–Light and Heavy–Heavy Systems

A Universal Scaling Law for Quantum Tunneling and Isotope Effects

When First-Order Isn’t Enough: Understanding Perturbative Consistency in Confining Two-Body Systems

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