Pub Date : 2024-06-04DOI: 10.1007/s00601-024-01929-x
Bijaya Acharya
Chiral effective field theory ((chi )EFT) is a powerful tool for studying electroweak processes in nuclei. I discuss (chi )EFT calculations of three key nuclear electroweak processes: primordial deuterium production, proton–proton fusion, and magnetic dipole excitations of (^{48}textrm{Ca}). This article showcases (chi )EFT’s ability to quantify theory uncertainties at the appropriate level of rigor for addressing the different precision demands of these three processes.
手性有效场理论(chiral effective field theory)是研究核电弱过程的有力工具。我讨论了三个关键核电弱过程的((chi)EFT)计算:原始氘产生、质子-质子聚变以及(^{48}textrm{Ca})的磁偶极子激发。这篇文章展示了(chi)EFT在适当的严格程度上量化理论不确定性的能力,以解决这三个过程的不同精度要求。
{"title":"Uncertainty Estimation and Anomaly Detection in Chiral Effective Field Theory Studies of Key Nuclear Electroweak Processes","authors":"Bijaya Acharya","doi":"10.1007/s00601-024-01929-x","DOIUrl":"https://doi.org/10.1007/s00601-024-01929-x","url":null,"abstract":"<p>Chiral effective field theory (<span>(chi )</span>EFT) is a powerful tool for studying electroweak processes in nuclei. I discuss <span>(chi )</span>EFT calculations of three key nuclear electroweak processes: primordial deuterium production, proton–proton fusion, and magnetic dipole excitations of <span>(^{48}textrm{Ca})</span>. This article showcases <span>(chi )</span>EFT’s ability to quantify theory uncertainties at the appropriate level of rigor for addressing the different precision demands of these three processes.</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141254042","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 : 2024-06-03DOI: 10.1007/s00601-024-01935-z
Nirvik Masanta, Arijit Ghoshal, Yew Kam Ho
The doubly excited states (DES) of beryllium-like ions (BLI) embedded in dense quantum plasma (QP) have been investigated by applying the stabilization method. Ions having atomic number Z lying between 4 to 10 are considered and treated as an effective three-body system by means of the ‘method of model potential’. Exponential cosine screened Coulomb potential is used to describe the screened interactions among the charged particles in QP. Using an extensive wavefunction, it has been possible to detect the existence of one, four and five DESs lying above the (1s^22p) threshold in the ions having (Z = 4), (Z = 5) and (Z = 6)–10 respectively. The energies and widths of these states for the plasma-free case agree nicely with the reliable results available in the literature. A detailed study has been made to explore the changes in the energies and widths of these states subject to the varying screening effect of the background quantum plasma environment. Furthermore, Z-dependence of the changes induced by the plasma has also been investigated in detail.
应用稳定化方法研究了嵌入致密量子等离子体(QP)中的类铍离子(BLI)的双激发态(DES)。原子序数 Z 介于 4 到 10 之间的离子被视为有效的三体系统,并通过 "模型势方法 "进行处理。指数余弦屏蔽库仑势用于描述 QP 中带电粒子之间的屏蔽相互作用。通过使用一个广泛的波函数,我们可以探测到在(Z = 4), (Z = 5) 和(Z = 6)-10 离子中分别存在一个、四个和五个高于(1s^22p)阈值的DES。无等离子体情况下这些态的能量和宽度与文献中的可靠结果非常吻合。为了探索这些态的能量和宽度在背景量子等离子体环境的不同屏蔽效应下的变化,我们进行了详细的研究。此外,还详细研究了等离子体诱导变化的 Z 依赖性。
{"title":"Doubly Excited States of Beryllium-Like Ions ( $$Z = 4$$ –10) in Dense Quantum Plasmas","authors":"Nirvik Masanta, Arijit Ghoshal, Yew Kam Ho","doi":"10.1007/s00601-024-01935-z","DOIUrl":"https://doi.org/10.1007/s00601-024-01935-z","url":null,"abstract":"<p>The doubly excited states (DES) of beryllium-like ions (BLI) embedded in dense quantum plasma (QP) have been investigated by applying the stabilization method. Ions having atomic number <i>Z</i> lying between 4 to 10 are considered and treated as an effective three-body system by means of the ‘method of model potential’. Exponential cosine screened Coulomb potential is used to describe the screened interactions among the charged particles in QP. Using an extensive wavefunction, it has been possible to detect the existence of one, four and five DESs lying above the <span>(1s^22p)</span> threshold in the ions having <span>(Z = 4)</span>, <span>(Z = 5)</span> and <span>(Z = 6)</span>–10 respectively. The energies and widths of these states for the plasma-free case agree nicely with the reliable results available in the literature. A detailed study has been made to explore the changes in the energies and widths of these states subject to the varying screening effect of the background quantum plasma environment. Furthermore, <i>Z</i>-dependence of the changes induced by the plasma has also been investigated in detail.</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141254251","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}
We investigate the exotic hadrons consisting of two light quarks and two heavy antiquarks, ((qbar{Q}))-((qbar{Q})). The spin-dependent term between quarks is known to give an attraction to the ud spin-0 component in the isospin-0 (ubar{c} dbar{c}) system, (T_{cc}). However, the said component also gets a repulsion from the partial Pauli-blocking. By the dynamical calculation with a simplified quark model, we discuss that the competition of the two effects leads to a shallow bound state for (T_{cc}), which is preferred from the experiment, and a deep bound state for (T_{bb}).
{"title":"The Impact of Quark Many-Body Effects on Exotic Hadrons","authors":"Sachiko Takeuchi, Makoto Takizawa, Yasuhiro Yamaguchi, Atsushi Hosaka","doi":"10.1007/s00601-024-01932-2","DOIUrl":"https://doi.org/10.1007/s00601-024-01932-2","url":null,"abstract":"<p>We investigate the exotic hadrons consisting of two light quarks and two heavy antiquarks, <span>((qbar{Q}))</span>-<span>((qbar{Q}))</span>. The spin-dependent term between quarks is known to give an attraction to the <i>ud</i> spin-0 component in the isospin-0 <span>(ubar{c} dbar{c})</span> system, <span>(T_{cc})</span>. However, the said component also gets a repulsion from the partial Pauli-blocking. By the dynamical calculation with a simplified quark model, we discuss that the competition of the two effects leads to a shallow bound state for <span>(T_{cc})</span>, which is preferred from the experiment, and a deep bound state for <span>(T_{bb})</span>.</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141147175","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 : 2024-05-26DOI: 10.1007/s00601-024-01933-1
Chandni Menapara, Ajay Kumar Rai
The resonance mass spectra have been studied through a non-relativistic hypercentral Constituent Quark Model using a linear potential. Also, the effects of higher order correction terms (({mathcal {O}}(frac{1}{m})), ({mathcal {O}}(frac{1}{m^{2}}))) have been studied for improvisation of the results. Other baryonic properties such as Regge trajectories, magnetic moment and decay widths have been considered. A detailed comparison with other approaches are discussed in the present review
{"title":"Hadron Spectroscopy: Light, Strange Baryons","authors":"Chandni Menapara, Ajay Kumar Rai","doi":"10.1007/s00601-024-01933-1","DOIUrl":"https://doi.org/10.1007/s00601-024-01933-1","url":null,"abstract":"<p>The resonance mass spectra have been studied through a non-relativistic hypercentral Constituent Quark Model using a linear potential. Also, the effects of higher order correction terms (<span>({mathcal {O}}(frac{1}{m}))</span>, <span>({mathcal {O}}(frac{1}{m^{2}}))</span>) have been studied for improvisation of the results. Other baryonic properties such as Regge trajectories, magnetic moment and decay widths have been considered. A detailed comparison with other approaches are discussed in the present review</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141147143","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 : 2024-05-25DOI: 10.1007/s00601-024-01930-4
Matthew Chilcott, Samyajit Gayen, James Croft, Ryan Thomas, Niels Kjærgaard
We provide an overview of experiments exploring resonances in the collision of ultracold clouds of atoms. Using a laser-based accelerator that capitalises on the energy resolution provided by the ultracold atomic setting, we unveil resonance phenomena such as Feshbach and shape resonances in their quintessential form by literally photographing the halo of outgoing scattered atoms. We exploit the tunability of magnetic Feshbach resonances to instigate an interplay between scattering resonances. By experimentally recording the scattering in a parameter space spanned by collision energy and magnetic field, we capture the imprint of the S-matrix pole flow in the complex energy plane. After revisiting experiments that place a Feshbach resonance in the proximity of a shape resonance and an anti-bound state, respectively, we discuss the possibility of using S-matrix pole interplay between two Feshbach resonances to create a bound-state-in-the-continuum.
我们概述了探索超冷原子云碰撞共振的实验。我们使用基于激光的加速器,利用超冷原子环境提供的能量分辨率,通过拍摄外向散射原子的光环,揭示了共振现象的本质形式,如费什巴赫共振和形状共振。我们利用磁性费什巴赫共振的可调谐性来激发散射共振之间的相互作用。通过实验记录碰撞能量和磁场跨越的参数空间中的散射,我们捕捉到了复能面上 S 矩阵极流的印记。在重温了将费什巴赫共振分别置于形状共振和反束缚态附近的实验之后,我们讨论了利用两个费什巴赫共振之间的 S 矩阵极相互作用来创建真空中束缚态的可能性。
{"title":"Observing S-Matrix Pole Flow in Resonance Interplay","authors":"Matthew Chilcott, Samyajit Gayen, James Croft, Ryan Thomas, Niels Kjærgaard","doi":"10.1007/s00601-024-01930-4","DOIUrl":"https://doi.org/10.1007/s00601-024-01930-4","url":null,"abstract":"<p>We provide an overview of experiments exploring resonances in the collision of ultracold clouds of atoms. Using a laser-based accelerator that capitalises on the energy resolution provided by the ultracold atomic setting, we unveil resonance phenomena such as Feshbach and shape resonances in their quintessential form by literally photographing the halo of outgoing scattered atoms. We exploit the tunability of magnetic Feshbach resonances to instigate an interplay between scattering resonances. By experimentally recording the scattering in a parameter space spanned by collision energy and magnetic field, we capture the imprint of the <i>S</i>-matrix pole flow in the complex energy plane. After revisiting experiments that place a Feshbach resonance in the proximity of a shape resonance and an anti-bound state, respectively, we discuss the possibility of using <i>S</i>-matrix pole interplay between two Feshbach resonances to create a bound-state-in-the-continuum.</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141147173","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 : 2024-05-24DOI: 10.1007/s00601-024-01924-2
Khépani Raya, Adnan Bashir, Daniele Binosi, Craig D. Roberts, José Rodríguez-Quintero
Despite its role in the continuing evolution of the Universe, only a small fraction of the mass of visible material can be attributed to the Higgs boson alone. The overwhelmingly dominant share may/should arise from the strong interactions that act in the heart of nuclear matter; namely, those described by quantum chromodynamics. This contribution describes how studying and explaining the attributes of pseudoscalar mesons can open an insightful window onto understanding the origin of mass in the Standard Model and how these insights inform our knowledge of hadron structure. The survey ranges over distribution amplitudes and functions, electromagnetic and gravitational form factors, light-front wave functions, and generalized parton distributions. Advances made using continuum Schwinger function methods and their relevance for experimental efforts are highlighted.
{"title":"Pseudoscalar Mesons and Emergent Mass","authors":"Khépani Raya, Adnan Bashir, Daniele Binosi, Craig D. Roberts, José Rodríguez-Quintero","doi":"10.1007/s00601-024-01924-2","DOIUrl":"https://doi.org/10.1007/s00601-024-01924-2","url":null,"abstract":"<p>Despite its role in the continuing evolution of the Universe, only a small fraction of the mass of visible material can be attributed to the Higgs boson alone. The overwhelmingly dominant share may/should arise from the strong interactions that act in the heart of nuclear matter; namely, those described by quantum chromodynamics. This contribution describes how studying and explaining the attributes of pseudoscalar mesons can open an insightful window onto understanding the origin of mass in the Standard Model and how these insights inform our knowledge of hadron structure. The survey ranges over distribution amplitudes and functions, electromagnetic and gravitational form factors, light-front wave functions, and generalized parton distributions. Advances made using continuum Schwinger function methods and their relevance for experimental efforts are highlighted.</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141147172","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 : 2024-05-21DOI: 10.1007/s00601-024-01927-z
B. Blankleider, A. N. Kvinikhidze
Recently we formulated covariant equations describing the tetraquark in terms of an admixture of two-body states (D{bar{D}}) (diquark-antidiquark), MM (meson-meson), and three-body-like states where two of the quarks are spectators while the other two are interacting (Phys Rev D 107:094014, 2023). A feature of these equations is that they unify descriptions of seemingly unrelated models of the tetraquark, like, for example, the (D{bar{D}}) model of the Moscow group (Faustov et al. in Universe 7:94, 2021) and the coupled channel (D {bar{D}}-MM) model of the Giessen group (Heupel et al. in Phys Lett B718:545, 2012). Here we extend these equations to the exact case where (qbar{q}) annihilation is incorporated explicitly, and all previously neglected terms (three-body forces, non-pole contributions to two-quark t matrices, etc.) are taken into account through the inclusion of a single (qbar{q}) potential (Delta ).
最近,我们用二体态(diquark-antidiquark)、介子介子态(MM)和三体态(其中两个夸克是旁观者,而另外两个夸克在相互作用)的混合来描述四夸克的协变方程(Phys Rev D 107:094014, 2023)。这些方程的一个特点是,它们统一了看似互不相关的四夸克模型的描述,例如莫斯科组的(D{bar{D}})模型(福斯托夫等人在《宇宙》7:94, 2021年)和吉森组的耦合通道(D{bar{D}}-MM)模型(豪佩尔等人在《物理通报》B718:545, 2012年)。在这里,我们将这些方程扩展到明确纳入(qbar{q})湮灭的精确情况,并通过纳入单一的(qbar{q})势(Delta )来考虑所有之前被忽视的项(三体力、双夸克t矩阵的非极点贡献等)。
{"title":"Exact Unified Tetraquark Equations","authors":"B. Blankleider, A. N. Kvinikhidze","doi":"10.1007/s00601-024-01927-z","DOIUrl":"https://doi.org/10.1007/s00601-024-01927-z","url":null,"abstract":"<p>Recently we formulated covariant equations describing the tetraquark in terms of an admixture of two-body states <span>(D{bar{D}})</span> (diquark-antidiquark), <i>MM</i> (meson-meson), and three-body-like states where two of the quarks are spectators while the other two are interacting (Phys Rev D 107:094014, 2023). A feature of these equations is that they unify descriptions of seemingly unrelated models of the tetraquark, like, for example, the <span>(D{bar{D}})</span> model of the Moscow group (Faustov et al. in Universe 7:94, 2021) and the coupled channel <span>(D {bar{D}}-MM)</span> model of the Giessen group (Heupel et al. in Phys Lett B718:545, 2012). Here we extend these equations to the exact case where <span>(qbar{q})</span> annihilation is incorporated explicitly, and all previously neglected terms (three-body forces, non-pole contributions to two-quark t matrices, etc.) are taken into account through the inclusion of a single <span>(qbar{q})</span> potential <span>(Delta )</span>.</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141147141","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 : 2024-05-20DOI: 10.1007/s00601-024-01931-3
A. Schulze-Halberg
{"title":"Approximate Solutions of the Dunkl–Schrödinger Equation for the Hyperbolic Pöschl–Teller Potential","authors":"A. Schulze-Halberg","doi":"10.1007/s00601-024-01931-3","DOIUrl":"https://doi.org/10.1007/s00601-024-01931-3","url":null,"abstract":"","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141119040","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 : 2024-05-16DOI: 10.1007/s00601-024-01917-1
E. Filandri, L. Girlanda, A. Kievsky, L. E. Marcucci, M. Viviani
Starting from a complete set of relativistic nucleon–nucleon contact operators up to order (O(p^4)) of the expansion in the soft (relative or nucleon) momentum p, we show that non-relativistic expansions of relativistic operators involve twenty-six independent combinations, two starting at (O(p^0)), seven at order (O(p^2)) and seventeen at order (O(p^4)). This demonstrates the existence of two low-energy free constants that parameterize interactions dependent on the total momentum of the pair of nucleons P. The latter, through the use of a unitary transformation, can be removed in the two-nucleon fourth-order contact interaction of the Chiral Effective Field Theory, generating a three-nucleon interaction at the same order. Within a hybrid approach in which this interaction is considered together with the phenomenological potential AV18, we show that the LECs involved can be used to fit very accurate data on the polarization observables of the low-energy (p-d) scattering, in particular the (A_y) asymmetry.
从软(相对或核子)动量p的展开的(O(p^4))阶以下的一组完整的相对论核子-核子接触算子开始,我们证明相对论算子的非相对论展开涉及26个独立的组合,其中两个始于(O(p^0))阶,七个始于(O(p^2))阶,17个始于(O(p^4))阶。这表明存在两个低能自由常数,它们参数化了依赖于核子对总动量 P 的相互作用。通过使用单位变换,后者可以在手性有效场理论的双核四阶接触相互作用中被移除,从而产生同阶的三核子相互作用。在一种混合方法中,这种相互作用与现象学势AV18一起被考虑,我们展示了所涉及的LEC可以用来拟合低能(p-d)散射的极化观测数据,特别是(A_y)不对称。
{"title":"Momentum Dependent Nucleon–Nucleon Contact Interactions and Their Effect on $$p-d$$ Scattering Observables","authors":"E. Filandri, L. Girlanda, A. Kievsky, L. E. Marcucci, M. Viviani","doi":"10.1007/s00601-024-01917-1","DOIUrl":"https://doi.org/10.1007/s00601-024-01917-1","url":null,"abstract":"<p>Starting from a complete set of relativistic nucleon–nucleon contact operators up to order <span>(O(p^4))</span> of the expansion in the soft (relative or nucleon) momentum <i>p</i>, we show that non-relativistic expansions of relativistic operators involve twenty-six independent combinations, two starting at <span>(O(p^0))</span>, seven at order <span>(O(p^2))</span> and seventeen at order <span>(O(p^4))</span>. This demonstrates the existence of two low-energy free constants that parameterize interactions dependent on the total momentum of the pair of nucleons <i>P</i>. The latter, through the use of a unitary transformation, can be removed in the two-nucleon fourth-order contact interaction of the Chiral Effective Field Theory, generating a three-nucleon interaction at the same order. Within a hybrid approach in which this interaction is considered together with the phenomenological potential AV18, we show that the LECs involved can be used to fit very accurate data on the polarization observables of the low-energy <span>(p-d)</span> scattering, in particular the <span>(A_y)</span> asymmetry.</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141062862","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 : 2024-05-13DOI: 10.1007/s00601-024-01928-y
Jaume Carbonell, Vladimir A. Karmanov, Ekaterina A. Kupriyanova, Hagop Sazdjian
We summarize the main properties of the so called “abnormal solutions” of the Wick–Cutkosky model, i.e. two massive scalar particles interacting via massless scalar exchange (“photons”), within the Bethe–Salpeter equation. These solutions do not exist in the non-relativistic limit, in spite of having very small binding energies. They present a genuine many-body character dominated by photons, with a norm of the valence constituent wave function (two-body norm) that vanishes in the limit of zero binding energy. We present new results concerning the massive-exchange case, in particular determine under which conditions is it possible to obtain such peculiar solutions without spoiling the model by tachyonic states ((M^2<0)).
{"title":"Abnormal Solutions of Bethe–Salpeter Equation with Massless and Massive Exchanges","authors":"Jaume Carbonell, Vladimir A. Karmanov, Ekaterina A. Kupriyanova, Hagop Sazdjian","doi":"10.1007/s00601-024-01928-y","DOIUrl":"https://doi.org/10.1007/s00601-024-01928-y","url":null,"abstract":"<p>We summarize the main properties of the so called “abnormal solutions” of the Wick–Cutkosky model, i.e. two massive scalar particles interacting via massless scalar exchange (“photons”), within the Bethe–Salpeter equation. These solutions do not exist in the non-relativistic limit, in spite of having very small binding energies. They present a genuine many-body character dominated by photons, with a norm of the valence constituent wave function (two-body norm) that vanishes in the limit of zero binding energy. We present new results concerning the massive-exchange case, in particular determine under which conditions is it possible to obtain such peculiar solutions without spoiling the model by tachyonic states (<span>(M^2<0)</span>).</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140938606","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}