State densities of heavy nuclei in the static-path plus random-phase approximation

نویسندگان

چکیده

Nuclear state densities are important inputs to statistical models of compound-nucleus reactions. State often calculated with self-consistent mean-field approximations that do not include correlations and have be augmented empirical collective enhancement factors. Here, we benchmark the static-path plus random-phase approximation (SPA+RPA) density in a chain samarium isotopes $^{148-155}$Sm against exact results (up errors) obtained shell model Monte Carlo (SMMC) method. The SPA+RPA method incorporates all static fluctuations beyond mean field together small-amplitude quantal around each fluctuation. Using pairing quadrupole interaction, show agree well SMMC for both even- odd-mass isotopes. For even-mass isotopes, also compare our finite-temperature Hartree-Fock-Bogoliubov (HFB) approximation. We find repairs deficiencies associated broken rotational symmetry deformed nuclei violation particle-number conservation condensate. In particular, reproduces relative density.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

بهینه سازی مدل BCS برای سیستم‌های کوچک و محاسبه خواص ترمودینامیکی هسته‌های Mo97-96

In this paper, we have presented the optimized BCS formalism using the isothermal probability distribution. The effect of statistical fluctuations on thermodynamical properties of nuclei has been investigated. The average gap parameter is calculated and then the energy, the entropy and the heat capacity are evaluated. The resulting values are compared with results of the standard BCS and the ...

متن کامل

Beyond the perturbed static path approximation (PSPA)

Based on the path integral approach the partition function of a many body system with separable two body interaction is calculated in the sense of a semiclassical approximation. The commonly used Gaussian type of approximation, known as the perturbed static path approximation (PSPA), breaks down near a crossover temperature due to instabilities of the classical mean field solution. It is shown ...

متن کامل

Systematics of the first 2+ excitation in spherical nuclei with the Skryme quasiparticle random-phase approximation

We use the quasiparticle random-phase approximation (QRPA) and the Skyrme interactions SLy4 and SkM∗ to systematically calculate energies and transition strengths for the lowest 2+ state in spherical even-even nuclei. The SkM∗ functional, applied to 178 spherical nuclei between Z = 10 and 90, produces excitation energies that are on average 11% higher than experimental values, with residuals th...

متن کامل

Muon capture on nuclei : Random phase approximation evaluation versus data for 6 Z 94 nuclei

We use the random phase approximation to systematically describe the total muon capture rates on all nuclei where they have been measured. We reproduce the experimental values on these nuclei to better than 15% accuracy using the free nucleon weak form factors and residual interactions with a mild A dependency. The isospin dependence and the effects associated with shell closures are fairly wel...

متن کامل

On the approximation of mean densities of random closed sets

Many real phenomena may be modeled as random closed sets in R, of different Hausdorff dimensions. In many real applications such as fiber processes, n-facets of random tessellations of dimension n ≤ d in spaces of dimension d ≥ 1, several problems are related to the estimation of such mean densities. In order to face such problems in the general setting of spatially inhomogeneous processes, we ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical Review C

سال: 2021

ISSN: ['2470-0002', '2469-9985', '2469-9993']

DOI: https://doi.org/10.1103/physrevc.103.064310