Thermodynamic properties of nuclear matter at finite temperature

V. Soma; P. Bozek

Home/Archive/arXiv

arXiv · nucl-th/0609044

Thermodynamic properties of nuclear matter at finite temperature

V. Soma·P. Bozek

View original source ↗Read source document ↗Export metadata ↓

Abstract

A self-consistent approach based on finite temperature Green's functions is used to investigate thermodynamic properties of nuclear matter. The internal energy is derived from the diagrams associated to the interaction energy. Pressure and entropy up to T=20 MeV are obtained from the generating functional form of the thermodynamic potential.

Explore related subjects

nucl-th

Keep this discovery

Explore connections, maps & timelines

BibTeX RIS

V. Soma, P. Bozek. 2006-09-17. Thermodynamic properties of nuclear matter at finite temperature. https://arxiv.org/abs/nucl-th/0609044

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

A short-range effective theory for single-neutron halo nuclei with a deformed core

We establish a short-range effective theory for deformed s-wave halos. The theory applies to a system in which neutrons are weakly bound to a core nucleus, and that core nucleus also exhibits a low-lying rotational band with a $0^+$ ground state and a first $2_1^+$ excited state. The effective theory then must have both halo degrees of freedom and degrees of freedom associated with rotation of the core. This leads to the particle plus rotor model of Bohr and Mottelson at leading order. We identify the relevant leading-order operators in the Hamiltonian that respect the symmetries of the system and the small parameters which define the effective theory's power counting. We carry out calculations for the $^{11}$Be and $^{17}$C systems in which we compute the low-lying positive-parity states of the core $+$ neutron systems up to the core$(2_1^+)$-neutron threshold. We do this for several different regulator parameters and establish that these energies can be renormalized using the leading-order set of operators. The spectrum is accurately described at leading order in both cases. Decay widths to d-wave core-neutron states have sizable cutoff dependence, but the Asymptotic Normalization Coefficients (ANCs) in $s$-wave channels exhibit regulator dependence of a size consistent with next-to-leading-order effects. We also compute Coulomb breakup observables and compare with experimental data, finding leading-order results in reasonable agreement with data for both ${}^{11}$Be and ${}^{17}$C. The addition of one next-to-leading-order operator renders the ANCs of all s-wave states stable with respect to the regulator. It consequently also removes most of the 30\% variation of the leading-order Coulomb dissociation cross section with the regulator.

nucl-th↗

arXiv2026

Systematic Study of Proton, Two-Proton, Alpha, and Cluster Radioactivity Half-Lives based on the Deformed Gamow-like Model and Tabular Prior-data Fitted Network ($\mathrm{TabPFN}$)

A hybrid framework combining the deformed Gamow-like model ($\mathrm{DGLM}$) with the Tabular Prior-data Fitted Network ($\mathrm{TabPFN}$) is developed to improve half-life predictions for two-proton emission, proton emission, $α$ decay, and cluster radioactivity. A total of 583 radioactive nuclei are investigated, including 17 two-proton emitters, 42 proton emitters, 498 $α$ emitters, and 26 cluster emitters. Among the four considered models, $\mathrm{DGLM}^{b}+\mathrm{TabPFN}$ achieves the best overall performance, with $σ_{\mathrm{RMS}}=0.423$, corresponding to an improvement of approximately $82.2\%$ over $\mathrm{DGLM}^{b}$. The model parameters are optimized for each decay mode using the least-squares method. After introducing $\mathrm{TabPFN}$, the prediction errors for proton emission and $α$ decay are reduced by approximately $80.6\%$ and $87.6\%$, respectively. For $α$ decay, the training, test, and overall RMSEs are 0.208, 0.305, and 0.240, indicating good generalization capability without evident overfitting. The model also reproduces the systematic evolution of $α$-decay half-lives and the shell-closure effect around $N=126$. These results demonstrate that combining $\mathrm{DGLM}$ with $\mathrm{TabPFN}$ significantly improves the accuracy and robustness of radioactive-decay half-life predictions while retaining the physical interpretability of the original model.

nucl-th↗

arXiv2026

Enhanced structure-dependent alpha decay tunneling in deformed odd-odd nuclei via intense two-color laser pulses

In the present work, we investigate the effect of ultra-intense laser fields on the $α$ decay tunneling of deformed odd-odd nuclei. Calculations performed within the deformed density-dependent cluster model show that, for deformed odd-odd $α$ emitters, the laser-induced variation in the penetration probability separates into distinct branches associated with different valence particle-hole configurations relative to the $Z=82$ and $N=126$ shell closures. In contrast to the even-even and odd-$A$ cases, the odd-odd parent nucleus most sensitive to the laser field is not the one with the lowest $α$ decay energy. This indicates that the laser response is governed not only by $Q_α$ but also by structural correlations associated with the simultaneously unpaired proton and neutron. We further examine the pulse-averaged response under a two-color laser field. The results show that an optimized two-color field enhances the pulse-averaged laser response for most of the studied nuclei, while highly sensitive nuclei exhibit an effective gain equivalent to increasing the laser intensity by more than one order of magnitude. These findings identify structural determinants of laser-assisted $α$ decay in odd-odd nuclei and provide guidance for selecting candidate nuclei and optimizing laser parameters in future experiments.

nucl-th↗