Electric Polarizability of Neutral Hadrons from Lattice QCD

Abstract

By simulating a uniform electric field on a lattice and measuring the change in the rest mass, we calculate the electric polarizability of neutral mesons and baryons using the methods of quenched lattice QCD. Specifically, we measure the electric polarizability coefficient from the quadratic response to the electric field for 10 particles: the vector mesons ${\rho }^0$ and $K^{\ast 0}$; the octet baryons n, ${\Sigma }^0$, ${\Lambda }_o^0$, ${\Lambda }_s^0$, and ${\Xi }^0$; and the decouplet baryons ${\Delta }^0$, ${\Sigma }^{\ast 0}$, and ${\Xi }^{\ast 0}$. Independent calculations using two fermion actions were done for consistency and comparison purposes. One calculation uses Wilson fermions with a lattice spacing of $a=0.10$fm. The other uses tadpole improved Lüsher-Weiss gauge fields and clover quark action with a lattice spacing $a=0.17$fm. Our results for neutron electric polarizability are compared to experiment.

25 pages, 20 figures

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• The NRQED lagrangian at order 1/M^4
• Extracting Nucleon Magnetic Moments and Electric Polarizabilities from Lattice QCD in Background Electric Fields
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• Magnetic polarizability of hadrons from lattice QCD in the background field method
• Extracting Electric Polarizabilities from Lattice QCD
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• Octet Baryon Magnetic Moments from Lattice QCD: Approaching Experiment from a Three-Flavor Symmetric Point
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• Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields
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• Overview of external electromagnetism and rotation in lattice QCD
• Resonances in an external field: the 1+1 dimensional case
• Reconciling the lattice background field method with nonrelativistic QED: Spinor case
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• Nucleon Polarizabilities: Theory
• Update on the Sea Contributions to Hadron Electric Polarizabilities through Reweighting
• Topics in Effective Field Theory for Lattice QCD
• Study of the Roberge-Weiss phase caused by external uniform classical electric field using lattice QCD approach
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• Formal Developments for Lattice QCD with Applications to Hadronic Systems