Nuclear Physics A最新文献

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Study of nuclear structure properties of some neutron-rich even-even Titanium isotopes 富中子偶偶钛同位素的核结构性质研究
IF 2.5 4区 物理与天体物理
Nuclear Physics A Pub Date : 2025-09-09 DOI: 10.1016/j.nuclphysa.2025.123247
Saima Sadiq, Rani Devi, S.K. Khosa
{"title":"Study of nuclear structure properties of some neutron-rich even-even Titanium isotopes","authors":"Saima Sadiq,&nbsp;Rani Devi,&nbsp;S.K. Khosa","doi":"10.1016/j.nuclphysa.2025.123247","DOIUrl":"10.1016/j.nuclphysa.2025.123247","url":null,"abstract":"<div><div>The large-scale shell-model calculations have been performed for neutron-rich even-even titanium isotopes by employing two model spaces: <em>pf</em> (I) and <em>fpg</em><sub><em>9/2</em></sub> (II) and various effective interactions. The energy spectra and electromagnetic quantities have been obtained and compared with the available experimental data. The theoretical results on excitation energies and B(E2) values of <span><math><msubsup><mn>2</mn><mn>1</mn><mo>+</mo></msubsup></math></span> state confirm the existence of subshell closure at <em>N</em> = 32 and the absence of subshell closure at <em>N</em> = 34. Besides, the B(E2) and B(M1) values of excited states are also predicted for which experimental data are not available. These predictions may serve as a valuable reference for future experimental comparisons.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123247"},"PeriodicalIF":2.5,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145154624","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}
引用次数: 0
Connecting neutron skin thickness and neutron star observables through isovector scalar delta meson in relativistic framework 在相对论框架下用等矢量标量δ介子连接中子蒙皮厚度和中子星观测值
IF 2.5 4区 物理与天体物理
Nuclear Physics A Pub Date : 2025-09-09 DOI: 10.1016/j.nuclphysa.2025.123238
Sunil Kumar, Mukul Kumar, Raj K. Jagota, Shashi K. Dhiman
{"title":"Connecting neutron skin thickness and neutron star observables through isovector scalar delta meson in relativistic framework","authors":"Sunil Kumar,&nbsp;Mukul Kumar,&nbsp;Raj K. Jagota,&nbsp;Shashi K. Dhiman","doi":"10.1016/j.nuclphysa.2025.123238","DOIUrl":"10.1016/j.nuclphysa.2025.123238","url":null,"abstract":"<div><div>Recent developments in the parity-violating electron scattering experiments on <sup>48</sup>Ca (CREX) and for <sup>208</sup>Pb (PREX-II) has provided new insight on the neutron skin thickness. These findings reveal several viewpoints on nuclear matter parameters (NMPs) such as symmetry energy (J) and its linear density dependency (L), which are directly related to the equation of state (EoS) of asymmetric dense matter. While PREX results lead to stiffer L and hence necessitate a stiffer EoS, the CREX experiments favor softer L and hence a softer EoS. Therefore, it is challenging to produce neutron skin of both (<sup>48</sup>Ca and <sup>208</sup>Pb) in relativistic mean field (RMF) models simultaneously. To address this issue, we propose relativistic interactions based on RMF model comprising of self and cross interactions of <em>σ</em>, <em>ω</em>, <em>ρ</em> and <em>δ</em> mesons. These interactions are consistent with the results of both experiments, and they accurately replicate experimental data related to the ground state properties, such as binding energies (BE) and charge radii (<span><math><msub><mrow><mi>r</mi></mrow><mrow><mi>c</mi><mi>h</mi></mrow></msub></math></span>), of both closed and open shell nuclei. We also compute the EoSs comprising of npe<em>μ</em> matter under <em>β</em>-equilibrium condition for the proposed interactions and hence calculate neutron star observables.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123238"},"PeriodicalIF":2.5,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145045330","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}
引用次数: 0
Leptodermic corrections to the TOV equations and nuclear astrophysics within the effective surface approximation 有效表面近似下TOV方程和核天体物理学的细端修正
IF 2.5 4区 物理与天体物理
Nuclear Physics A Pub Date : 2025-09-05 DOI: 10.1016/j.nuclphysa.2025.123239
A.G. Magner , S.P. Maydanyuk , A. Bonasera , H. Zheng , T. Depastas , A.I. Levon , U.V. Grygoriev
{"title":"Leptodermic corrections to the TOV equations and nuclear astrophysics within the effective surface approximation","authors":"A.G. Magner ,&nbsp;S.P. Maydanyuk ,&nbsp;A. Bonasera ,&nbsp;H. Zheng ,&nbsp;T. Depastas ,&nbsp;A.I. Levon ,&nbsp;U.V. Grygoriev","doi":"10.1016/j.nuclphysa.2025.123239","DOIUrl":"10.1016/j.nuclphysa.2025.123239","url":null,"abstract":"<div><div>The macroscopic model for a neutron star (NS) as a liquid drop at the equilibrium is used to extend the Tolman-Oppenheimer-Volkoff (TOV) equations taking into account the gradient terms responsible for the system surface. The parameters of the Schwarzschild metric in the spherical case are found with these surface corrections to the known leading (zero) order of the leptodermic approximation <span><math><mi>a</mi><mo>/</mo><mi>R</mi><mo>&lt;</mo><mo>&lt;</mo><mn>1</mn></math></span>, where <em>a</em> is the NS effective-surface (ES) thickness, and <em>R</em> is the effective NS radius. The energy density <span><math><mi>E</mi></math></span> is considered in a general form including the functions of the particle number density and of its gradient terms. The macroscopic gravitational component <span><math><mi>Φ</mi><mo>(</mo><mi>ρ</mi><mo>)</mo></math></span> of the energy density is taken into account in the simplest form as expansion in powers of <span><math><mi>ρ</mi><mo>−</mo><mover><mrow><mi>ρ</mi></mrow><mo>‾</mo></mover></math></span>, where <span><math><mover><mrow><mi>ρ</mi></mrow><mo>‾</mo></mover></math></span> is the saturation density, up to second order, in terms of its contributions to the separation particle energy and incompressibility. Density distributions <em>ρ</em> across the NS ES in the normal direction to the ES, which are derived in the simple analytical form at the same leading approximation, was used for the derivation of the modified TOV (MTOV) equations by accounting for their NS surface corrections. The MTOV equations are analytically solved at first order and the results are compared with the standard TOV approach of the zero order.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123239"},"PeriodicalIF":2.5,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145059887","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}
引用次数: 0
Nuclear mass density effect of 27Al and 28Si nuclei in nuclear reactions 27Al和28Si核在核反应中的质量密度效应
IF 2.5 4区 物理与天体物理
Nuclear Physics A Pub Date : 2025-09-05 DOI: 10.1016/j.nuclphysa.2025.123240
F.R. Vasconcelos, G.F.D. Abreu, E.N. Cardozo, J. Lubian
{"title":"Nuclear mass density effect of 27Al and 28Si nuclei in nuclear reactions","authors":"F.R. Vasconcelos,&nbsp;G.F.D. Abreu,&nbsp;E.N. Cardozo,&nbsp;J. Lubian","doi":"10.1016/j.nuclphysa.2025.123240","DOIUrl":"10.1016/j.nuclphysa.2025.123240","url":null,"abstract":"<div><div>In a recent study, diffuseness parameters of <span><math><mrow><msub><mi>a</mi><mi>m</mi></msub><mo>=</mo><mn>0.62</mn><mspace></mspace><mrow><mi>fm</mi></mrow></mrow></math></span> and <span><math><mrow><msub><mi>a</mi><mi>m</mi></msub><mo>=</mo><mn>0.65</mn><mspace></mspace><mrow><mi>fm</mi></mrow></mrow></math></span> were proposed for the nuclear matter density of <span><math><msup><mrow></mrow><mn>28</mn></msup></math></span>Si and <span><math><msup><mrow></mrow><mn>27</mn></msup></math></span>Al, respectively, based on the two-parameter Fermi distribution. These values exceed the systematic value <span><math><mrow><msub><mi>a</mi><mi>m</mi></msub><mo>=</mo><mn>0.56</mn><mspace></mspace><mrow><mi>fm</mi></mrow></mrow></math></span>, commonly adopted in the São Paulo potential. To assess the validity of the proposed parameters, we performed coupled-channel calculations for the systems <span><math><msup><mrow></mrow><mn>9</mn></msup></math></span>Be+<span><math><msup><mrow></mrow><mn>28</mn></msup></math></span>Si, <span><math><msup><mrow></mrow><mn>14</mn></msup></math></span>N+<span><math><msup><mrow></mrow><mn>28</mn></msup></math></span>Si, <span><math><msup><mrow></mrow><mn>13</mn></msup></math></span>C+<span><math><msup><mrow></mrow><mn>28</mn></msup></math></span>Si, <span><math><msup><mrow></mrow><mn>9</mn></msup></math></span>Be+<span><math><msup><mrow></mrow><mn>27</mn></msup></math></span>Al, <span><math><msup><mrow></mrow><mn>14</mn></msup></math></span>N+<span><math><msup><mrow></mrow><mn>27</mn></msup></math></span>Al, and <span><math><msup><mrow></mrow><mn>28</mn></msup></math></span>Si+<span><math><msup><mrow></mrow><mn>27</mn></msup></math></span>Al at energies 2-3 times the Coulomb barrier. The analyses were carried out using the FRESCO code, with the Sao Paulo Potential and Woods-Saxon potential used as the optical potential. A good description of elastic angular distributions was achieved with the systematic nuclear matter density diffuseness value of <span><math><mrow><msub><mi>a</mi><mi>m</mi></msub><mo>=</mo><mn>0.56</mn><mspace></mspace><mrow><mi>fm</mi></mrow></mrow></math></span>.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123240"},"PeriodicalIF":2.5,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145057368","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}
引用次数: 0
Possible universal limit for valence parton distributions 价部子分布的可能普遍极限
IF 2.5 4区 物理与天体物理
Nuclear Physics A Pub Date : 2025-09-04 DOI: 10.1016/j.nuclphysa.2025.123243
Christopher Leon , Misak Sargsian
{"title":"Possible universal limit for valence parton distributions","authors":"Christopher Leon ,&nbsp;Misak Sargsian","doi":"10.1016/j.nuclphysa.2025.123243","DOIUrl":"10.1016/j.nuclphysa.2025.123243","url":null,"abstract":"<div><div>We report the observation of the existence of a possible universal limit for valence parton distributions that should exist once partonic degrees of freedom are relevant for high energy scattering from strongly interacting bound systems like a nucleon, meson or a few nucleon system at very short distances. Our observation is based on the notion that the Bjorken x weighted valence parton distribution function has a peak, <span><math><msub><mi>x</mi><mi>p</mi></msub></math></span>, that characterizes the average momentum fraction carried out by the valence quarks in the system. Within the residual mean-field model of the valence quark distribution we found that <span><math><msub><mi>x</mi><mi>p</mi></msub></math></span> has an upper limit: <span><math><mrow><msub><mi>x</mi><mi>p</mi></msub><mo>≤</mo><mfrac><mn>1</mn><mrow><mn>2</mn><mo>(</mo><msub><mi>n</mi><mi>V</mi></msub><mo>−</mo><mn>1</mn><mo>)</mo></mrow></mfrac></mrow></math></span>, where <span><math><msub><mi>n</mi><mi>V</mi></msub></math></span> is the number of valence quarks in the cluster embedded in the strongly interacting environment of the hadron. The existence of such a limit imposes a new constraint on choosing the starting resolution scale <span><math><msub><mi>Q</mi><mn>0</mn></msub></math></span> for PDFs. Our prediction for the nucleon is that <span><math><mrow><msub><mi>x</mi><mi>p</mi></msub><msub><mo>∣</mo><mrow><mi>Q</mi><mo>→</mo><msub><mi>Q</mi><mn>0</mn></msub></mrow></msub><mo>≤</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></mrow></math></span>, which is in agreement with all the available valence PDFs that employ the standard approach for selecting starting <span><math><msub><mi>Q</mi><mn>0</mn></msub></math></span>. We also demonstrate how the existence of this limit can be used to verify the onset of quark-cluster structures in short range nucleon correlations in nuclei.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123243"},"PeriodicalIF":2.5,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145105626","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}
引用次数: 0
Alpha process nucleosynthesis and sensitivity analysis in SiRoP SiRoP α过程核合成及敏感性分析
IF 2.5 4区 物理与天体物理
Nuclear Physics A Pub Date : 2025-09-04 DOI: 10.1016/j.nuclphysa.2025.123242
Jose Trujillo, Rachid Ouyed
{"title":"Alpha process nucleosynthesis and sensitivity analysis in SiRoP","authors":"Jose Trujillo,&nbsp;Rachid Ouyed","doi":"10.1016/j.nuclphysa.2025.123242","DOIUrl":"10.1016/j.nuclphysa.2025.123242","url":null,"abstract":"<div><div>The r-process nucleosynthesis (in explosive astrophysical events) is responsible for about half of the heavy elements observed in the universe. However, r-process outputs in the literature are difficult to replicate and vary across studies due to differences in nuclear mass models or initial conditions (e.g., seed nuclei). We will review the SiRoP code for <span><math><mi>r</mi></math></span>-process nucleosynthesis, which now includes an alpha-capture module that allows for a variety of initial conditions and a nuclear sensitivity module to test how changes in nuclear masses affect <span><math><mi>r</mi></math></span>-process abundance patterns. Additionally, we will examine how different sensitivity metrics influence this behavior.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123242"},"PeriodicalIF":2.5,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145045441","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}
引用次数: 0
Systematics of reduced B(E3) transition probabilities for E3 transitions in even-A nuclei in 50 ≤ Z ≤ 92 region 50≤Z≤92区偶a核E3跃迁的约化B(E3)跃迁概率系统
IF 2.5 4区 物理与天体物理
Nuclear Physics A Pub Date : 2025-09-04 DOI: 10.1016/j.nuclphysa.2025.123241
P.S. Rawat, S. Kumar
{"title":"Systematics of reduced B(E3) transition probabilities for E3 transitions in even-A nuclei in 50 ≤ Z ≤ 92 region","authors":"P.S. Rawat,&nbsp;S. Kumar","doi":"10.1016/j.nuclphysa.2025.123241","DOIUrl":"10.1016/j.nuclphysa.2025.123241","url":null,"abstract":"<div><div>In the nuclear landscape, many isomeric states near the shell closure decay via enhanced electric octupole <span><math><mrow><mo>(</mo><mi>E</mi><mn>3</mn><mo>)</mo></mrow></math></span> transitions. The enhancement in the transition strength is linked to the nuclear interactions between shell-model orbitals near the Fermi level that differ by <span><math><mrow><mstyle><mi>Δ</mi></mstyle><mi>j</mi><mo>=</mo><mspace></mspace><mstyle><mi>Δ</mi></mstyle><mi>l</mi><mo>=</mo><mn>3</mn></mrow></math></span>, involving high-<span><math><mi>j</mi></math></span> intruder orbitals. The present study investigates the systematics of reduced <span><math><mrow><mi>B</mi><mo>(</mo><mi>E</mi><mn>3</mn><mo>)</mo></mrow></math></span> transition probabilities in even-A nuclei with proton numbers <span><math><mrow><mi>Z</mi><mo>=</mo><mn>50</mn><mo>−</mo><mn>92</mn></mrow></math></span>. Experimental data were taken from the ENSDF, NSR and XUNDL databases. For recently measured <span><math><mrow><mi>E</mi><mn>3</mn></mrow></math></span> transitions, updated half-lives and branching ratios were used to determine refined <span><math><mrow><mi>B</mi><mo>(</mo><mi>E</mi><mn>3</mn><mo>)</mo></mrow></math></span> values, calculated using the RULER code. The observed systematic trend across various closed shells indicates that the octupole correlations are strongly developed in the heavier mass region. The transition rates were further analysed according to the type of <span><math><mrow><mi>E</mi><mn>3</mn></mrow></math></span> transition and their underlying configurations. The results reveal a clear pattern: nuclei with configurations involving octupole-driving orbitals show significantly enhanced <span><math><mrow><mi>B</mi><mo>(</mo><mi>E</mi><mn>3</mn><mo>)</mo></mrow></math></span> values, whereas the spin-flip and single-particle <span><math><mrow><mi>E</mi><mn>3</mn></mrow></math></span> transitions exhibit much weaker strengths.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123241"},"PeriodicalIF":2.5,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145060605","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}
引用次数: 0
Role of Coulomb-nuclear breakup of 6,7Li projectiles with heavy deformed 232Th target 重变形232Th靶的67li弹库仑-核破碎作用
IF 2.5 4区 物理与天体物理
Nuclear Physics A Pub Date : 2025-09-03 DOI: 10.1016/j.nuclphysa.2025.123236
D. Patel , J. Rangel , J. Lubian
{"title":"Role of Coulomb-nuclear breakup of 6,7Li projectiles with heavy deformed 232Th target","authors":"D. Patel ,&nbsp;J. Rangel ,&nbsp;J. Lubian","doi":"10.1016/j.nuclphysa.2025.123236","DOIUrl":"10.1016/j.nuclphysa.2025.123236","url":null,"abstract":"<div><div>The significance of both Coulomb and nuclear couplings and their interference effects in the breakup processes of <sup>6,7</sup>Li with a non-spherical nucleus <sup>232</sup>Th has been evaluated. The continuum discretized coupled channel (CDCC) calculations are carried out in a nonstandard way, using short-range imaginary potentials for the fragment-target interaction at energies close to the Coulomb barrier. The present calculations employing short-range imaginary potentials exhibit better agreement with the experimental elastic scattering angular distributions than those using standard systematic value (<span><math><mn>0.78</mn><mo>×</mo><msub><mrow><mi>W</mi></mrow><mrow><mi>S</mi><mi>P</mi><mi>P</mi></mrow></msub></math></span>) used to describe elastic scattering. Including the excitation of the <sup>232</sup>Th inelastic shows significant coupling effects on the elastic scattering below the barrier energies compared to higher incident energies. Subsequently, the CDCC framework was used to analyze the nuclear, Coulomb, and total breakup predictions separately. The breakup cross sections for the <sup>6</sup>Li+<sup>232</sup>Th system are greater than those for the <sup>7</sup>Li+<sup>232</sup>Th system across various energies. The present study predicts destructive Coulomb-nuclear interference in the breakup processes involving both <sup>6</sup>Li and <sup>7</sup>Li projectile nuclei with the deformed <sup>232</sup>Th target. Additionally, the breakup reaction cross-sections are compared with experimentally measured fusion cross-sections near the barrier energies for both <sup>6,7</sup>Li+<sup>232</sup>Th systems.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123236"},"PeriodicalIF":2.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144996304","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}
引用次数: 0
Investigating triply heavy tetraquark states through QCD sum rules 用QCD和规则研究三重重四夸克态
IF 2.5 4区 物理与天体物理
Nuclear Physics A Pub Date : 2025-08-28 DOI: 10.1016/j.nuclphysa.2025.123227
Wen-Shuai Zhang, Liang Tang
{"title":"Investigating triply heavy tetraquark states through QCD sum rules","authors":"Wen-Shuai Zhang,&nbsp;Liang Tang","doi":"10.1016/j.nuclphysa.2025.123227","DOIUrl":"10.1016/j.nuclphysa.2025.123227","url":null,"abstract":"<div><div>We apply the method of QCD sum rules to study the <span><math><mi>Q</mi><mi>Q</mi><mover><mrow><mi>Q</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>q</mi></mrow><mrow><mo>¯</mo></mrow></mover></math></span> and <span><math><mi>Q</mi><mi>Q</mi><mover><mrow><mi>Q</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover></math></span> tetraquark states, where <span><math><mi>Q</mi><mo>=</mo><mi>c</mi><mo>,</mo><mi>b</mi></math></span> and <span><math><mi>q</mi><mo>=</mo><mi>u</mi><mo>,</mo><mi>d</mi></math></span>, with the quantum number <span><math><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi></mrow></msup><mo>=</mo><msup><mrow><mn>0</mn></mrow><mrow><mo>+</mo></mrow></msup></math></span>. We consider the contributions of vacuum condensates up to dimension-9 in the operator product expansion, and use the energy scale formula <span><math><mi>μ</mi><mo>=</mo><msqrt><mrow><msubsup><mrow><mi>M</mi></mrow><mrow><mi>X</mi></mrow><mrow><mn>2</mn></mrow></msubsup><mo>−</mo><msup><mrow><mo>(</mo><mi>i</mi><msub><mrow><mi>M</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>+</mo><mi>j</mi><msub><mrow><mi>M</mi></mrow><mrow><mi>b</mi></mrow></msub><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></mrow></msqrt><mo>−</mo><mi>k</mi><msub><mrow><mi>M</mi></mrow><mrow><mi>s</mi></mrow></msub></math></span> to determine the optimal energy scales for the QCD spectral densities. Our results indicate that triply charm tetraquark states <span><math><mi>c</mi><mi>c</mi><mover><mrow><mi>c</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>q</mi></mrow><mrow><mo>¯</mo></mrow></mover></math></span> and <span><math><mi>c</mi><mi>c</mi><mover><mrow><mi>c</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover></math></span> have masses in the ranges of <span><math><mn>5.38</mn><mo>−</mo><mn>5.84</mn><mspace></mspace><mtext>GeV</mtext></math></span> and <span><math><mn>5.66</mn><mo>−</mo><mn>6.16</mn><mspace></mspace><mtext>GeV</mtext></math></span>, respectively. In the bottom sector, triply bottom tetraquark states <span><math><mi>b</mi><mi>b</mi><mover><mrow><mi>b</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>q</mi></mrow><mrow><mo>¯</mo></mrow></mover></math></span> and <span><math><mi>b</mi><mi>b</mi><mover><mrow><mi>b</mi></mrow><mrow><mo>¯</mo></mrow></mover><mover><mrow><mi>s</mi></mrow><mrow><mo>¯</mo></mrow></mover></math></span> have masses in the ranges of <span><math><mn>14.89</mn><mo>−</mo><mn>15.55</mn><mspace></mspace><mtext>GeV</mtext></math></span> and <span><math><mn>14.95</mn><mo>−</mo><mn>15.66</mn><mspace></mspace><mtext>GeV</mtext></math></span>, respectively. This study could help distinguish these states in upcoming high-energy nuclear and particle experiments.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123227"},"PeriodicalIF":2.5,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144913939","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}
引用次数: 0
Benford's law and thermal neutron capture cross-section of A(n,γ)B reactions A(n,γ)B反应的Benford定律和热中子俘获截面
IF 2.5 4区 物理与天体物理
Nuclear Physics A Pub Date : 2025-08-28 DOI: 10.1016/j.nuclphysa.2025.123228
Nghia Nguyen Huu, Anh Tran Tuan, Thang Le Xuan, Thien Tran Quang, Huong Tuong Thi Thu, Dao Nguyen Minh, Tham Vo Thi Mong
{"title":"Benford's law and thermal neutron capture cross-section of A(n,γ)B reactions","authors":"Nghia Nguyen Huu,&nbsp;Anh Tran Tuan,&nbsp;Thang Le Xuan,&nbsp;Thien Tran Quang,&nbsp;Huong Tuong Thi Thu,&nbsp;Dao Nguyen Minh,&nbsp;Tham Vo Thi Mong","doi":"10.1016/j.nuclphysa.2025.123228","DOIUrl":"10.1016/j.nuclphysa.2025.123228","url":null,"abstract":"<div><div>This study evaluates the first-digit distribution of experimental data and semi-empirically calculated data of the thermal neutron capture cross-sections <span><math><mi>σ</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>γ</mi><mo>)</mo></math></span> for <span><math><mi>A</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>γ</mi><mo>)</mo><mi>B</mi></math></span> reactions. The <span><math><mi>σ</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>γ</mi><mo>)</mo></math></span> data for 122 isotopes were analyzed, with the scope extended to a total of 558 isotopes, including both ground and isomeric states. The results demonstrate a strong agreement with Benford's law across both datasets. However, a notable deviation is observed for the digit 8, where Mughabghab's calculated values exceed theoretical expectations. This discrepancy suggests a need for further scrutiny of the <span><math><mi>σ</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>γ</mi><mo>)</mo></math></span> values for four isotopes: <sup>177</sup>Lu, <sup>182</sup>Ta, <sup>94</sup>Nb and <sup>99</sup>Mo need to be more carefully considered in future evaluations, due to the significant errors in the elemental concentrations of these isotopes determined by the neutron activation analysis (NAA). Additionally, the theoretical model used for thermal neutron capture cross-section calculations follows a statistical model. The findings of this study not only validate the applicability of Benford's law in nuclear physics but also provide a promising approach for verifying both experimental and theoretical datasets, which is crucial for enhancing the precision of NAA in determining elemental concentrations.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1064 ","pages":"Article 123228"},"PeriodicalIF":2.5,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144921793","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}
引用次数: 0
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