Electric dipole polarizability in 208Pb: Insights from the droplet model

X. Roca-Maza, M. Brenna, G. Colò, M. Centelles, X. Viñas, B. K. Agrawal, N. Paar, D. Vretenar, and J. Piekarewicz
Phys. Rev. C 88, 024316 – Published 20 August 2013

Abstract

We study the electric dipole polarizability αD in 208Pb based on the predictions of a large and representative set of relativistic and nonrelativistic nuclear mean-field models. We adopt the droplet model as a guide to better understand the correlations between αD and other isovector observables. Insights from the droplet model suggest that the product of αD and the nuclear symmetry energy at saturation density J is much better correlated with the neutron skin thickness Δrnp of 208Pb than the polarizability alone. Correlations of αDJ with Δrnp and with the symmetry energy slope parameter L suggest that αDJ is a strong isovector indicator. Hence, we explore the possibility of constraining the isovector sector of the nuclear energy density functional by comparing our theoretical predictions against measurements of both αD and the parity-violating asymmetry in 208Pb. We find that the recent experimental determination of αD in 208Pb in combination with the range for the symmetry energy at saturation density J=[31±(2)est] MeV suggests Δrnp(208Pb)=0.165±(0.009)expt±(0.013)theor±(0.021)estfm and L=43±(6)expt±(8)theor±(12)est MeV.

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  • Received 17 July 2013

DOI:https://doi.org/10.1103/PhysRevC.88.024316

©2013 American Physical Society

Authors & Affiliations

X. Roca-Maza*, M. Brenna, and G. Colò

  • Dipartimento di Fisica, Università degli Studi di Milano and INFN, Sezione di Milano, 20133 Milano, Italy

M. Centelles and X. Viñas

  • Departament d’Estructura i Constituents de la Matèria and Institut de Ciències del Cosmos (ICC), Facultat de Física, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain

B. K. Agrawal

  • Saha Institute of Nuclear Physics, Kolkata 700064, India

N. Paar and D. Vretenar

  • Physics Department, Faculty of Science, University of Zagreb, Zagreb, Croatia

J. Piekarewicz

  • Department of Physics, Florida State University, Tallahassee, Florida 32306, USA

  • *xavier.roca.maza@mi.infn.it

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Vol. 88, Iss. 2 — August 2013

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