dc.contributor.author | Jodon, R. | |
dc.contributor.author | Bender, M. | |
dc.contributor.author | Bennaceur, Karim | |
dc.contributor.author | Meyer, J. | |
dc.date.accessioned | 2016-09-22T11:38:56Z | |
dc.date.available | 2016-09-22T11:38:56Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Jodon, R., Bender, M., Bennaceur, K., & Meyer, J. (2016). Constraining the surface properties of effective Skyrme interactions. <i>Physical Review C</i>, <i>94</i>(2), Article 024335. <a href="https://doi.org/10.1103/PhysRevC.94.024335" target="_blank">https://doi.org/10.1103/PhysRevC.94.024335</a> | |
dc.identifier.other | CONVID_26223708 | |
dc.identifier.other | TUTKAID_71224 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/51441 | |
dc.description.abstract | Background: Deformation energy surfaces map how the total binding energy of a nuclear system depends on
the geometrical properties of intrinsic configurations, thereby providing a powerful tool to interpret nuclear
spectroscopy and large-amplitude collective-motion phenomena such as fission. The global behavior of the
deformation energy is known to be directly connected to the surface properties of the effective interaction used
for its calculation.
Purpose: The precise control of surface properties during the parameter adjustment of an effective interaction
is key to obtain a reliable and predictive description of nuclear properties. The most relevant indicator is the
surface-energy coefficient asurf. There are several possibilities for its definition and estimation, which are not fully
equivalent and require a computational effort that can differ by orders of magnitude. The purpose of this study
is threefold: first, to identify a scheme for the determination of asurf that offers the best compromise between
robustness, precision, and numerical efficiency; second, to analyze the correlation between values for asurf and
the characteristic energies of the fission barrier of 240Pu; and third, to lay out an efficient and robust procedure
for how the deformation properties of the Skyrme energy density functional (EDF) can be constrained during the
parameter fit.
Methods: There are several frequently used possibilities to define and calculate the surface energy coefficient asurf
of effective interactions built for the purpose of self-consistent mean-field calculations. The most direct access is
provided by the model system of semi-infinite nuclear matter, but asurf can also be extracted from the systematics
of binding energies of finite nuclei. Calculations can be carried out either self-consistently [Hartree-Fock (HF)],
which incorporates quantal shell effects, or in one of the semiclassical extended Thomas-Fermi (ETF) or modified
Thomas-Fermi (MTF) approximations. The latter is of particular interest because it provides asurf as a numerical
integral without the need to solve self-consistent equations. Results for semi-infinite nuclear matter obtained
with the HF, ETF, and MTF methods will be compared with one another and with asurf, as deduced from ETF
calculations of very heavy fictitious nuclei.
Results: The surface energy coefficient of 76 parametrizations of the Skyrme EDF have been calculated. Values
obtained with the HF, ETF, and MTF methods are not identical, but differ by fairly constant systematic offsets.
By contrast, extracting asurf from the binding energy of semi-infinite matter or of very large nuclei within the
same method gives the same result within the numerical uncertainties.
Conclusions: Despite having some drawbacks compared to the other methods studied here, the MTF approach
provides sufficiently precise values for asurf such that it can be used as a very robust constraint on surface
properties during a parameter fit at negligible additional cost. While the excitation energy of superdeformed
states and the height of fission barriers is obviously strongly correlated to asurf, the presence of shell effects
prevents a one-to-one correspondence between them. As in addition the value of asurf providing realistic fission
barriers depends on the choices made for corrections for spurious motion, its “best value” (within a given
scheme to calculate it) depends on the fit protocol. Through the construction of a series of eight parametrizations
SLy5s1–SLy5s8 of the standard Skyrme EDF with systematically varied asurf value, it is shown how to arrive at
a fit with realistic deformation properties. | |
dc.language.iso | eng | |
dc.publisher | American Physical Society | |
dc.relation.ispartofseries | Physical Review C | |
dc.subject.other | nuclear structure | |
dc.subject.other | deformation energy | |
dc.subject.other | surface properties | |
dc.subject.other | Skyrme energy density functional | |
dc.title | Constraining the surface properties of effective Skyrme interactions | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201609214158 | |
dc.contributor.laitos | Fysiikan laitos | fi |
dc.contributor.laitos | Department of Physics | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2016-09-21T09:15:06Z | |
dc.type.coar | journal article | |
dc.description.reviewstatus | peerReviewed | |
dc.relation.issn | 2469-9985 | |
dc.relation.numberinseries | 2 | |
dc.relation.volume | 94 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © 2016 American Physical Society. Published in this repository with the kind permission of the publisher. | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.doi | 10.1103/PhysRevC.94.024335 | |