This research examines the head-on collision (HOC) of two ion-acoustic multi-solitons and a breather within a nonuniform, inhomogeneous, unmagnetized dusty plasma. The system consists of ions, electrons, and both positively and negatively charged dust particles that adhere to a superthermal distribution. The modified Korteweg-de Vries (mKdV) equation is obtained from the basic hydrodynamic model equations by using the reductive perturbation technique (RPT). The multi-solitons and breathers of the mKdV equation are generated through the Hirota bilinear method (HBM), and their HOC is explored via numerical methods. The system demonstrates the presence of both compressive and rarefactive multi-solitons. Additionally, the dynamics of breather structures is inconsistent; at times, they may overlap, whereas at other instances, they remain completely separate. Furthermore, the direct collision of the soliton and the breather is analyzed through numerical simulations.
{"title":"Head-on collision of modified KdV solitons and breathers in a nonuniform, inhomogeneous, unmagnetized dusty plasma","authors":"Laxmikanta Mandi, Jayshree Mondal, Prasanta Chatterjee, Santanu Raut","doi":"10.1140/epjd/s10053-025-01051-5","DOIUrl":"10.1140/epjd/s10053-025-01051-5","url":null,"abstract":"<p>This research examines the head-on collision (HOC) of two ion-acoustic multi-solitons and a breather within a nonuniform, inhomogeneous, unmagnetized dusty plasma. The system consists of ions, electrons, and both positively and negatively charged dust particles that adhere to a superthermal distribution. The modified Korteweg-de Vries (mKdV) equation is obtained from the basic hydrodynamic model equations by using the reductive perturbation technique (RPT). The multi-solitons and breathers of the mKdV equation are generated through the Hirota bilinear method (HBM), and their HOC is explored via numerical methods. The system demonstrates the presence of both compressive and rarefactive multi-solitons. Additionally, the dynamics of breather structures is inconsistent; at times, they may overlap, whereas at other instances, they remain completely separate. Furthermore, the direct collision of the soliton and the breather is analyzed through numerical simulations.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"79 8","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144918651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The resonant transfer and excitation plus X-ray emission (RTEX) process are studied systematically for H-like and He-like ions in the impulse approximation. The detailed RTEX cross sections are presented for 14 elements, including C, N, O, Ar, Ca, Fe, Cu, Kr, Mo, Sn, Cs, Au, Bi, and U colliding with H2, H2O, and Ar targets. The calculated results agree well with both available experimental and other theoretical values, except for Ca19+ + H2 collisions, in which a significant discrepancy between the experiments is observed. The RTEX cross sections of H-like ions are found decreasing with increasing of the nuclear charge Z. Similar variation trend of cross sections as the case of H-like ions are observed for high-Z He-like ions, while for low-Z He-like C4+, N5+, and O6+ ions, the RTEX cross sections increase with increasing nuclear charge Z. The electron momentum distribution (Compton profile) of targets are found significantly influencing the RTEX cross sections, for the same projectile ion colliding with H2, H2O, and Ar targets, respectively, the cross sections σAr > σ(text{H}_2text{O} ) > σ(text{H}_2) are shown for dominant resonant peaks.
Graphical abstract
The RTEX cross sections for He-like Ca18+, Fe24+, U90+ ions colliding with H2 target,and compared with the available experimental and theoretical results [15-18, 43]. The blue vertical bars indicate the DR resonance positions and strengths.
{"title":"Theoretical study on resonant transfer and excitation process of hydrogen-like and helium-like ions","authors":"Tian Ding, Luyou Xie, Wenliang He, Jinglin Rui, Yulong Ma, Yanjun Liu, Chenzhong Dong","doi":"10.1140/epjd/s10053-025-01047-1","DOIUrl":"10.1140/epjd/s10053-025-01047-1","url":null,"abstract":"<div><p>The resonant transfer and excitation plus X-ray emission (RTEX) process are studied systematically for H-like and He-like ions in the impulse approximation. The detailed RTEX cross sections are presented for 14 elements, including C, N, O, Ar, Ca, Fe, Cu, Kr, Mo, Sn, Cs, Au, Bi, and U colliding with H<sub>2</sub>, H<sub>2</sub>O, and Ar targets. The calculated results agree well with both available experimental and other theoretical values, except for Ca<sup>19+</sup> + H<sub>2</sub> collisions, in which a significant discrepancy between the experiments is observed. The RTEX cross sections of H-like ions are found decreasing with increasing of the nuclear charge <i>Z</i>. Similar variation trend of cross sections as the case of H-like ions are observed for high-<i>Z</i> He-like ions, while for low-<i>Z</i> He-like C<sup>4+</sup>, N<sup>5+</sup>, and O<sup>6+</sup> ions, the RTEX cross sections increase with increasing nuclear charge <i>Z.</i> The electron momentum distribution (Compton profile) of targets are found significantly influencing the RTEX cross sections, for the same projectile ion colliding with H<sub>2</sub>, H<sub>2</sub>O, and Ar targets, respectively, the cross sections σ<sub>Ar</sub> > σ<span>(text{H}_2text{O} )</span> > σ<span>(text{H}_2)</span> are shown for dominant resonant peaks.</p><h3>Graphical abstract</h3><p>The RTEX cross sections for He-like Ca<sup>18+</sup>, Fe<sup>24+</sup>, U<sup>90+</sup> ions colliding with H<sub>2</sub> target,and compared with the available experimental and theoretical results [15-18, 43]. The blue vertical bars indicate the DR resonance positions and strengths. </p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"79 8","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjd/s10053-025-01047-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144887990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-15DOI: 10.1140/epjd/s10053-025-01045-3
G. Q. Zhang, L. Y. Xie, W. L. He, Y. L. Ma, C. Z. Dong
The energy levels, electric dipole transition rates and wavelengths of Cu-like (Au50+) and Zn-like (Au49+) ions were systematically calculated using the multi-configuration Dirac–Hartree–Fock method. The calculations incorporated electron correlation effects between valence-valence, core-valence, and core-core electrons. It was found that electron correlation significantly impacts the excitation energies of the Au50+ and Au49+ ions. In the calculation, the electron correlation configurations are expanded to n = 8 for the Au50+ ion and n = 7 for the Au49+ ion through single and double substitutions, resulting in good convergence for the excitation energy. Additionally, QED effects, Breit interaction, and the finite-nuclear-size effects to the excited states of Au50+ and Au49+ ions are also considered in the calculation. QED effects and the Breit interaction, in particular, were found to have an important influence for the excitation energy. Moreover, the calculated transition energies are in excellent agreement with experimental data, with a deviation of less than 0.078%. These results are expected to be useful for diagnosing high-temperature gold plasmas, particularly in fusion plasma applications.
Graphical Abstract
The calculated transition energies 4s 4p for the Au50+ ion under different models and compared to experimental data.
{"title":"Theoretical calculations on energy level, transition rates and wavelengths of highly charged Au50+ and Au49+ ions","authors":"G. Q. Zhang, L. Y. Xie, W. L. He, Y. L. Ma, C. Z. Dong","doi":"10.1140/epjd/s10053-025-01045-3","DOIUrl":"10.1140/epjd/s10053-025-01045-3","url":null,"abstract":"<div><p>The energy levels, electric dipole transition rates and wavelengths of Cu-like (Au<sup>50+</sup>) and Zn-like (Au<sup>49+</sup>) ions were systematically calculated using the multi-configuration Dirac–Hartree–Fock method. The calculations incorporated electron correlation effects between valence-valence, core-valence, and core-core electrons. It was found that electron correlation significantly impacts the excitation energies of the Au<sup>50+</sup> and Au<sup>49+</sup> ions. In the calculation, the electron correlation configurations are expanded to <i>n</i> = 8 for the Au<sup>50+</sup> ion and <i>n</i> = 7 for the Au<sup>49+</sup> ion through single and double substitutions, resulting in good convergence for the excitation energy. Additionally, QED effects, Breit interaction, and the finite-nuclear-size effects to the excited states of Au<sup>50+</sup> and Au<sup>49+</sup> ions are also considered in the calculation. QED effects and the Breit interaction, in particular, were found to have an important influence for the excitation energy. Moreover, the calculated transition energies are in excellent agreement with experimental data, with a deviation of less than 0.078%. These results are expected to be useful for diagnosing high-temperature gold plasmas, particularly in fusion plasma applications.</p><h3>Graphical Abstract</h3><p>The calculated transition energies 4s 4p for the Au<sup>50+</sup> ion under different models and compared to experimental data.</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"79 8","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144853559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-12DOI: 10.1140/epjd/s10053-025-01046-2
Akshat Pandey, Ayan Khan
Quantum droplets have been recently observed in dipolar Bose–Einstein condensates (BECs) and in BEC mixtures. This forms the motivation for us to explore the dynamics of these droplets. We make use of the extended Gross–Pitaevskii equation which apart from the effective mean-field (MF) interaction also includes a beyond mean-field interaction. The competition of these two interactions in the context of droplet formation is explored. Further, the conditions for droplet formation are studied.
{"title":"Dynamics of quantum droplets in a quasi-one-dimensional framework: an analytical approach","authors":"Akshat Pandey, Ayan Khan","doi":"10.1140/epjd/s10053-025-01046-2","DOIUrl":"10.1140/epjd/s10053-025-01046-2","url":null,"abstract":"<p>Quantum droplets have been recently observed in dipolar Bose–Einstein condensates (BECs) and in BEC mixtures. This forms the motivation for us to explore the dynamics of these droplets. We make use of the extended Gross–Pitaevskii equation which apart from the effective mean-field (MF) interaction also includes a <i>beyond</i> mean-field interaction. The competition of these two interactions in the context of droplet formation is explored. Further, the conditions for droplet formation are studied.\u0000</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"79 8","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144814382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-11DOI: 10.1140/epjd/s10053-025-01044-4
Safeia Hamasha
This study presents detailed analysis of theoretical atomic spectra of various argon (Ar) ions, specifically F-like, O-, N-, and C-like Ar ions, calculated using a method implemented in the flexible atomic code, which combines the relativistic configuration interaction method with many-body perturbation theory (FAC-MBPT). Radiative transition rates and oscillator strengths were calculated in terms of length and velocity forms which highlights the accuracy of the calculated data. A collisional-radiative model was developed to calculate theoretical spectra for optically allowed transitions of the four Ar ions. The spectral features and spectral ranges were analyzed and identified. A comparison with available data shows good agreement with the findings. The resulting spectra and the calculated data provide valuable insights for Ar plasma diagnostics and contribute to the understanding of complex astrophysical spectra.