Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism
We obtained a density-dependent analytical expression of binding energy per nucleon for different neutron- proton asymmetry of the nuclear matter (NM) with a polynomial fitting, which manifests the results of effective- field theory motivated relativistic mean-field (E-RMF) model. This expression ha...
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my.um.eprints.268412022-02-23T05:37:44Z http://eprints.um.edu.my/26841/ Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism Kumar, Ankit Das, H. C. Kaur, Manpreet Bhuyan, Mrutunjaya Patra, S. K. QC Physics We obtained a density-dependent analytical expression of binding energy per nucleon for different neutron- proton asymmetry of the nuclear matter (NM) with a polynomial fitting, which manifests the results of effective- field theory motivated relativistic mean-field (E-RMF) model. This expression has the edge over the Bruckner energy density functional Phys. Rev. 171, 1188 (1968)] since it resolves the Coster-Band problem. The NM parameters like incompressibility, neutron pressure, symmetry energy, and its derivatives are calculated using the acquired expression of energy per nucleon. Furthermore, the weight function calculated by E-RMF densities are folded with calculated NM parameters within coherent density fluctuation model to find the properties of closed or semiclosed-shell even-even O-16, Ca-40, Ca-48, Ni-56 , Zr-90, (116 )n, and Pb-208 nuclei. The values obtained for the neutron pressure P-A, symmetry energy S-A , and its derivative L(sym)( )(A)known as the slope parameter lie within a narrow domain whereas there is a large variation in isoscalar incompressibility K-A and surface incompressibility K-sym(A) while moving from light to heavy nuclei. The sizable variation in K-A and K-sym(A) for light and heavy nuclei depicts their structural dependence due to the peculiar density distribution of each nucleus. A comparison of surface quantities calculated in the present work has also been made with ones obtained via Bruckner energy density functional. American Physical Society 2021-02-02 Article PeerReviewed Kumar, Ankit and Das, H. C. and Kaur, Manpreet and Bhuyan, Mrutunjaya and Patra, S. K. (2021) Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism. Physical Review C, 103 (2). ISSN 2469-9985, https://doi.org/10.1103/PhysRevC.103.024305 |
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We obtained a density-dependent analytical expression of binding energy per nucleon for different neutron- proton asymmetry of the nuclear matter (NM) with a polynomial fitting, which manifests the results of effective- field theory motivated relativistic mean-field (E-RMF) model. This expression has the edge over the Bruckner energy density functional Phys. Rev. 171, 1188 (1968)] since it resolves the Coster-Band problem. The NM parameters like incompressibility, neutron pressure, symmetry energy, and its derivatives are calculated using the acquired expression of energy per nucleon. Furthermore, the weight function calculated by E-RMF densities are folded with calculated NM parameters within coherent density fluctuation model to find the properties of closed or semiclosed-shell even-even O-16, Ca-40, Ca-48, Ni-56 , Zr-90, (116 )n, and Pb-208 nuclei. The values obtained for the neutron pressure P-A, symmetry energy S-A , and its derivative L(sym)( )(A)known as the slope parameter lie within a narrow domain whereas there is a large variation in isoscalar incompressibility K-A and surface incompressibility K-sym(A) while moving from light to heavy nuclei. The sizable variation in K-A and K-sym(A) for light and heavy nuclei depicts their structural dependence due to the peculiar density distribution of each nucleus. A comparison of surface quantities calculated in the present work has also been made with ones obtained via Bruckner energy density functional. |
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Article |
author |
Kumar, Ankit Das, H. C. Kaur, Manpreet Bhuyan, Mrutunjaya Patra, S. K. |
author_facet |
Kumar, Ankit Das, H. C. Kaur, Manpreet Bhuyan, Mrutunjaya Patra, S. K. |
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Kumar, Ankit |
title |
Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism |
title_short |
Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism |
title_full |
Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism |
title_fullStr |
Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism |
title_full_unstemmed |
Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism |
title_sort |
application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism |
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American Physical Society |
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2021 |
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http://eprints.um.edu.my/26841/ https://doi.org/10.1103/PhysRevC.103.024305 |
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