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Chinese Physics C

Resumen/Descripción – provisto por la editorial en inglés
Chinese Physics C covers the latest developments and achievements in the theory, experiment and applications of Particle physics; Nuclear physics; Astrophysics and cosmology related to particles and nuclei; Detectors and experimental methods; Accelerators; Synchrotron radiationand other related fields.
Palabras clave – provistas por la editorial

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Institución detectada Período Navegá Descargá Solicitá
No detectada desde ene. 2008 / hasta dic. 2023 IOPScience

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Tipo de recurso:

revistas

ISSN impreso

1674-1137

Editor responsable

Chinese Physical Society (CPS)

País de edición

China

Fecha de publicación

Cobertura temática

Tabla de contenidos

Thermodynamic instability of 3D Einstein-Born-Infeld AdS black holes *

Hongmei Jing; Benrong Mu; Jun Tao; Peng Wang

<jats:title>Abstract</jats:title> <jats:p>Super-entropic black holes possess finite-area but noncompact event horizons and violate the reverse isoperimetric inequality. It has been conjectured that such black holes always have negative specific heat at constant volume <jats:inline-formula> <jats:tex-math><?CDATA $ C_{V} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_6_065103_M12.jpg" xlink:type="simple" /> </jats:inline-formula> or negative specific heat at constant pressure <jats:inline-formula> <jats:tex-math><?CDATA $ C_{P} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_6_065103_M13.jpg" xlink:type="simple" /> </jats:inline-formula> whenever <jats:inline-formula> <jats:tex-math><?CDATA $ C_{V} \gt 0 $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_6_065103_M14.jpg" xlink:type="simple" /> </jats:inline-formula>, making them unstable in extended thermodynamics. In this paper, we describe a test of this instability conjecture with a family of nonlinear electrodynamic black holes, namely 3D Einstein-Born-Infeld (EBI) AdS black holes. Our results show that when nonlinear electrodynamics effects are weak, the instability conjecture is valid. However, the conjecture can be violated in some parameter region when nonlinear electrodynamics effects are strong enough. This observation thus provides a counter example to the instability conjecture, which suggests that super-entropic black holes may be thermodynamically stable. </jats:p>

Palabras clave: Astronomy and Astrophysics; Instrumentation; Nuclear and High Energy Physics.

Pp. 065103

Exploring the potentiality of future standard candles and standard sirens to detect cosmic opacity *

Xiangyun Fu; Lu Zhou; Jianfei Yang; Zhen-Yan Lu; Ying Yang; Guo Tang

<jats:title>Abstract</jats:title> <jats:p>In this work, we explore the potentiality of future gravitational wave (GW) and Type Ia supernovae (SNe Ia) measurements to detect cosmic opacity by comparing the opacity-free luminosity distance (LD) of GW events with the opacity-dependent LD of SNe Ia observations. The GW data are simulated from the future measurements of the ground-based Einstein Telescope (ET) and the space-borne Deci-Herz Interferometer Gravitational wave Observatory (DECIGO). The SNe Ia data are simulated from the observations of the Wide Field Infrared Survey Telescope (WFIRST) that will be collected over the next few decades. A binning method is adopted to match the GW data with the SNe Ia data at the same redshift <jats:italic>z</jats:italic> with a selection criterion <jats:inline-formula> <jats:tex-math><?CDATA $ |\Delta z| \lt 0.005$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_6_065104_M1.jpg" xlink:type="simple" /> </jats:inline-formula>, and most of the available data from the GW measurements is employed to detect cosmic opacity due to improvements in the distribution of the future SNe Ia observations. Results show that the uncertainties of the constraints on cosmic opacity can be reduced to <jats:inline-formula> <jats:tex-math><?CDATA $ \sigma_{\epsilon}\sim 0.0041$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_6_065104_M2.jpg" xlink:type="simple" /> </jats:inline-formula> and 0.0014 at the <jats:inline-formula> <jats:tex-math><?CDATA $ 1\sigma$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_6_065104_M3.jpg" xlink:type="simple" /> </jats:inline-formula> confidence level (CL) for 1000 data points from the ET and DECIGO measurements, respectively. Compared with the allowable limits of intergalactic opacity obtained from quasar continuum observations, these future astronomical observations can be used to verify the cosmic opacity. In this way, GW and SNe Ia measurements can be used as important and effective tools to detect cosmic opacity in the future. </jats:p>

Palabras clave: Astronomy and Astrophysics; Instrumentation; Nuclear and High Energy Physics.

Pp. 065104

Pair production in Reissner-Nordström-Anti de Sitter black holes *

Jun Zhang; Yi-Yu Lin; Hao-Chun Liang; Ke-Jia Chi; Chiang-Mei Chen; Sang Pyo Kim; Jia-Rui Sun

<jats:title>Abstract</jats:title> <jats:p>We studied the pair production of charged scalar particles of a five-dimensional near extremal Reissner-Nordström-Anti de Sitter (RN-AdS<jats:sub>5</jats:sub>) black hole. The pair production rate and the absorption cross section ratio in full spacetime are obtained and are shown to have a concise relation with their counterparts in the near horizon region. In addition, the holographic descriptions of the pair production, both in the IR CFT in the near horizon region and the UV CFT at the asymptotic spatial boundary of the RN-AdS<jats:sub>5</jats:sub> black hole, are analyzed in the AdS<jats:sub>2</jats:sub>/CFT<jats:sub>1</jats:sub> and AdS<jats:sub>5</jats:sub>/CFT<jats:sub>4</jats:sub> correspondences, respectively. This work gives a complete description of scalar pair production in a near extremal RN-AdS<jats:sub>5</jats:sub> black hole. </jats:p>

Palabras clave: Astronomy and Astrophysics; Instrumentation; Nuclear and High Energy Physics.

Pp. 065105

Antineutrino energy spectrum unfolding based on the Daya Bay measurement and its applications *

F. P. An; A. B. Balantekin; M. Bishai; S. Blyth; G. F. Cao; J. Cao; J. F. Chang; Y. Chang; H. S. Chen; S. M. Chen; Y. Chen; Y. X. Chen; J. Cheng; Z. K. Cheng; J. J. Cherwinka; M. C. Chu; J. P. Cummings; O. Dalager; F. S. Deng; Y. Y. Ding; M. V. Diwan; T. Dohnal; D. Dolzhikov; J. Dove; M. Dvořák; D. A. Dwyer; J. P. Gallo; M. Gonchar; G. H. Gong; H. Gong; M. Grassi; W. Q. Gu; J. Y. Guo; L. Guo; X. H. Guo; Y. H. Guo; Z. Guo; R. W. Hackenburg; S. Hans; M. He; K. M. Heeger; Y. K. Heng; Y. K. Hor; Y. B. Hsiung; B. Z. Hu; J. R. Hu; T. Hu; Z. J. Hu; H. X. Huang; J. H. Huang; X. T. Huang; Y. B. Huang; P. Huber; D. E. Jaffe; K. L. Jen; X. L. Ji; X. P. Ji; R. A. Johnson; D. Jones; L. Kang; S. H. Kettell; S. Kohn; M. Kramer; T. J. Langford; J. Lee; J. H. C. Lee; R. T. Lei; R. Leitner; J. K. C. Leung; F. Li; H. L. Li; J. J. Li; Q. J. Li; R. H. Li; S. Li; S. C. Li; W. D. Li; X. N. Li; X. Q. Li; Y. F. Li; Z. B. Li; H. Liang; C. J. Lin; G. L. Lin; S. Lin; J. J. Ling; J. M. Link; L. Littenberg; B. R. Littlejohn; J. C. Liu; J. L. Liu; J. X. Liu; C. Lu; H. Q. Lu; K. B. Luk; B. Z. Ma; X. B. Ma; X. Y. Ma; Y. Q. Ma; R. C. Mandujano; C. Marshall; K. T. McDonald; R. D. McKeown; Y. Meng; J. Napolitano; D. Naumov; E. Naumova; T. M. T. Nguyen; J. P. Ochoa-Ricoux; A. Olshevskiy; H.-R. Pan; J. Park; S. Patton; J. C. Peng; C. S. J. Pun; F. Z. Qi; M. Qi; X. Qian; N. Raper; J. Ren; C. Morales Reveco; R. Rosero; B. Roskovec; X. C. Ruan; H. Steiner; J. L. Sun; T. Tmej; K. Treskov; W.-H. Tse; C. E. Tull; B. Viren; V. Vorobel; C. H. Wang; J. Wang; M. Wang; N. Y. Wang; R. G. Wang; W. Wang; W. Wang; X. Wang; Y. Wang; Y. F. Wang; Z. Wang; Z. Wang; Z. M. Wang; H. Y. Wei; L. H. Wei; L. J. Wen; K. Whisnant; C. G. White; H. L. H. Wong; E. Worcester; D. R. Wu; F. L. Wu; Q. Wu; W. J. Wu; D. M. Xia; Z. Q. Xie; Z. Z. Xing; H. K. Xu; J. L. Xu; T. Xu; T. Xue; C. G. Yang; L. Yang; Y. Z. Yang; H. F. Yao; M. Ye; M. Yeh; B. L. Young; H. Z. Yu; Z. Y. Yu; B. B. Yue; V. Zavadskyi; S. Zeng; Y. Zeng; L. Zhan; C. Zhang; F. Y. Zhang; H. H. Zhang; J. W. Zhang; Q. M. Zhang; S. Q. Zhang; X. T. Zhang; Y. M. Zhang; Y. X. Zhang; Y. Y. Zhang; Z. J. Zhang; Z. P. Zhang; Z. Y. Zhang; J. Zhao; R. Z. Zhao; L. Zhou; H. L. Zhuang; J. H. Zou

<jats:title>Abstract</jats:title> <jats:p>The prediction of reactor antineutrino spectra will play a crucial role as reactor experiments enter the precision era. The positron energy spectrum of 3.5 million antineutrino inverse beta decay reactions observed by the Daya Bay experiment, in combination with the fission rates of fissile isotopes in the reactor, is used to extract the positron energy spectra resulting from the fission of specific isotopes. This information can be used to produce a precise, data-based prediction of the antineutrino energy spectrum in other reactor antineutrino experiments with different fission fractions than Daya Bay. The positron energy spectra are unfolded to obtain the antineutrino energy spectra by removing the contribution from detector response with the Wiener-SVD unfolding method. Consistent results are obtained with other unfolding methods. A technique to construct a data-based prediction of the reactor antineutrino energy spectrum is proposed and investigated. Given the reactor fission fractions, the technique can predict the energy spectrum to a 2% precision. In addition, we illustrate how to perform a rigorous comparison between the unfolded antineutrino spectrum and a theoretical model prediction that avoids the input model bias of the unfolding method.</jats:p>

Palabras clave: Astronomy and Astrophysics; Instrumentation; Nuclear and High Energy Physics.

Pp. 073001

Factorization of radiative leptonic D-meson decay with sub-leading power corrections *

Long-Sheng Lu

<jats:title>Abstract</jats:title> <jats:p>In this work, we calculate the sub-leading power contributions to radiative leptonic <jats:inline-formula> <jats:tex-math><?CDATA $ D\to\gamma \,\ell \,\nu $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073101_M1.jpg" xlink:type="simple" /> </jats:inline-formula> decay. For the first time, we provide the analytic expressions of next-to-leading power contributions and the error estimation associated with the power expansion of <jats:inline-formula> <jats:tex-math><?CDATA $ {\cal O}(\Lambda_{\rm QCD}/m_c) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073101_M2.jpg" xlink:type="simple" /> </jats:inline-formula>. In our calculation, we adopt two different models of the <jats:italic>D</jats:italic>-meson distribution amplitudes <jats:inline-formula> <jats:tex-math><?CDATA $ \phi_{D,\rm I}^+ $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073101_M3.jpg" xlink:type="simple" /> </jats:inline-formula> and <jats:inline-formula> <jats:tex-math><?CDATA $ \phi_{D,\rm II}^+ $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073101_M4.jpg" xlink:type="simple" /> </jats:inline-formula>. Within the framework of QCD factorization as well as the dispersion relation, we evaluate the soft contribution up to the next-to-leading logarithmic accuracy and also consider the higher-twist contribution from the two-particle and three-particle distribution amplitudes. Finally, we find that all the sub-leading power contributions are significant at <jats:inline-formula> <jats:tex-math><?CDATA $ \lambda_D(\mu_0) = 354 $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073101_M5.jpg" xlink:type="simple" /> </jats:inline-formula> MeV, and the next-to-leading power contributions lead to 143% in <jats:inline-formula> <jats:tex-math><?CDATA $ \phi_{D,\rm I}^+ $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073101_M6.jpg" xlink:type="simple" /> </jats:inline-formula> and 120% in <jats:inline-formula> <jats:tex-math><?CDATA $ \phi_{D,\rm II}^+ $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073101_M7.jpg" xlink:type="simple" /> </jats:inline-formula> corrections to leading power vector form factors with <jats:inline-formula> <jats:tex-math><?CDATA $ E_{\gamma} = 0.5 $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073101_M8.jpg" xlink:type="simple" /> </jats:inline-formula> GeV. As the corrections from the higher-twist and local sub-leading power contributions are enhanced with increasing inverse moment, it is difficult to extract an appropriate inverse moment of the <jats:italic>D</jats:italic>-meson distribution amplitude. The predicted branching fractions are <jats:inline-formula> <jats:tex-math><?CDATA $ (1.88_{-0.29}^{+0.36})\times10^{-5} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073101_M9.jpg" xlink:type="simple" /> </jats:inline-formula> for <jats:inline-formula> <jats:tex-math><?CDATA $ \phi_{D,\rm I}^+ $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073101_M10.jpg" xlink:type="simple" /> </jats:inline-formula> and <jats:inline-formula> <jats:tex-math><?CDATA $ (2.31_{-0.54}^{+0.65})\times10^{-5} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073101_M11.jpg" xlink:type="simple" /> </jats:inline-formula> for <jats:inline-formula> <jats:tex-math><?CDATA $ \phi_{D,\rm II}^+ $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073101_M12.jpg" xlink:type="simple" /> </jats:inline-formula>. </jats:p>

Palabras clave: Astronomy and Astrophysics; Instrumentation; Nuclear and High Energy Physics.

Pp. 073101

Effective field theory approach to lepton number violating τ decays *

Yi Liao; Xiao-Dong Ma; Hao-Lin Wang

<jats:title>Abstract</jats:title> <jats:p>We continue our endeavor to investigate lepton number violating (LNV) processes at low energies in the framework of effective field theory (EFT). In this work we study the LNV tau decays <jats:inline-formula> <jats:tex-math><?CDATA $ \tau^+\rightarrow \ell^-P_i^{+}P_j^{+} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073102_M1.jpg" xlink:type="simple" /> </jats:inline-formula>, where <jats:inline-formula> <jats:tex-math><?CDATA $ \ell = e,\; \mu $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073102_M2.jpg" xlink:type="simple" /> </jats:inline-formula> and <jats:inline-formula> <jats:tex-math><?CDATA $ P^+_{i,j} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073102_M3.jpg" xlink:type="simple" /> </jats:inline-formula> denote the lowest-lying charged pseudoscalars <jats:inline-formula> <jats:tex-math><?CDATA $ \pi^+,\; K^+ $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073102_M4.jpg" xlink:type="simple" /> </jats:inline-formula>. We analyze the dominant contributions in a series of EFTs from high to low energy scales, namely the standard model EFT (SMEFT), the low-energy EFT (LEFT), and the chiral perturbation theory ( <jats:inline-formula> <jats:tex-math><?CDATA $ \chi{{\rm{PT}}} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073102_M5.jpg" xlink:type="simple" /> </jats:inline-formula>). The decay branching ratios are expressed in terms of the Wilson coefficients of dimension-five and -seven operators in SMEFT and the hadronic low-energy constants. These Wilson coefficients involve the first and second generations of quarks and all generations of leptons; thus, they cannot be explored in low-energy processes such as nuclear neutrinoless double beta decay or LNV kaon decays. Unfortunately, the current experimental upper bounds on the branching ratios are too weak to set useful constraints on these coefficients. Alternatively, if we assume the new physics scale is larger than 1 TeV, the branching ratios are well below the current experimental bounds. We also estimate the hadronic uncertainties incurred in applying <jats:inline-formula> <jats:tex-math><?CDATA $ \chi{{\rm{PT}}} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073102_M6.jpg" xlink:type="simple" /> </jats:inline-formula> to <jats:inline-formula> <jats:tex-math><?CDATA $ \tau $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073102_M7.jpg" xlink:type="simple" /> </jats:inline-formula> decays by computing one-loop chiral logarithms and attempt to improve the convergence of chiral perturbation by employing dispersion relations in the short-distance part of the decay amplitudes. </jats:p>

Palabras clave: Astronomy and Astrophysics; Instrumentation; Nuclear and High Energy Physics.

Pp. 073102

Dependence of overlap topological charge density on Wilson mass parameter *

Zhen Cheng; Jian-bo Zhang

<jats:title>Abstract</jats:title> <jats:p>In this paper, we analyze the dependence of the topological charge density from the overlap operator on the Wilson mass parameter in the overlap kernel by the symmetric multi-probing source (SMP) method. We observe that non-trivial topological objects are removed as the Wilson mass is increased. A comparison of topological charge density calculated by the SMP method using the fermionic definition with that of the gluonic definition by the Wilson flow method is shown. A matching procedure for these two methods is used. We find that there is a best match for topological charge density between the gluonic definition with varied Wilson flow time and the fermionic definition with varied Wilson mass. By using the matching procedure, the proper flow time of Wilson flow in the calculation of topological charge density can be estimated. As the lattice spacing <jats:italic>a</jats:italic> decreases, the proper flow time also decreases, as expected. </jats:p>

Palabras clave: Astronomy and Astrophysics; Instrumentation; Nuclear and High Energy Physics.

Pp. 073103

Detecting anomalies in vector boson scattering *

Jinmian Li; Shuo Yang; Rao Zhang

<jats:title>Abstract</jats:title> <jats:p>Measuring vector boson scattering (VBS) precisely is an important step toward understanding the electroweak symmetry breaking of and detecting new physics beyond the standard model (SM). Herein, we propose a neural network that compresses the features of the VBS data into a three-dimensional latent space. The consistency of the SM predictions and experimental data is tested via binned log-likelihood analysis in the latent space. We show that the network is capable of distinguishing different polarization modes of <jats:italic>WWjj</jats:italic> production in both di- and semi-leptonic channels. The method is also applied to constrain the effective field theory and two Higgs Doublet Model. The results demonstrate that the method is sensitive to general new physics contributing to the VBS. </jats:p>

Palabras clave: Astronomy and Astrophysics; Instrumentation; Nuclear and High Energy Physics.

Pp. 073104

QCD chiral phase transition and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model *

Ya-Peng Zhao; Shu-Yu Zuo; Cheng-Ming Li

<jats:title>Abstract</jats:title> <jats:p>We present a nonextensive version of the Polyakov-Nambu-Jona-Lasinio model that is based on nonextentive statistical mechanics. This new statistics model is characterized by a dimensionless nonextensivity parameter <jats:italic>q</jats:italic> that accounts for all possible effects violating the assumptions of the Boltzmann-Gibbs (BG) statistics (for <jats:inline-formula> <jats:tex-math><?CDATA $q\rightarrow 1$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073105_M1.jpg" xlink:type="simple" /> </jats:inline-formula>, it returns to the BG case). Based on the nonextensive Polyakov-Nambu-Jona-Lasinio model, we discussed the influence of nonextensive effects on the curvature of the phase diagram at <jats:inline-formula> <jats:tex-math><?CDATA $\mu=0$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073105_M2.jpg" xlink:type="simple" /> </jats:inline-formula> and especially on the location of the critical end point (CEP). A new and interesting phenomenon we found is that with an increase in <jats:italic>q</jats:italic>, the CEP position initially shifts toward the direction of larger chemical potential and lower temperature. However, when <jats:italic>q</jats:italic> is larger than a critical value <jats:inline-formula> <jats:tex-math><?CDATA $q_{c}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073105_M3.jpg" xlink:type="simple" /> </jats:inline-formula>, the CEP position moves in the opposite direction. In other words, as <jats:italic>q</jats:italic> increases, the CEP position moves in the direction of smaller chemical potential and higher temperature. This U-turn phenomenon may be important for the search of CEP in relativistic heavy-ion collisions, in which the validity of BG statistics is questionable due to strong fluctuations and long-range correlations, and nonextensive effects begin to manifest themselves. In addition, we calculated the influence of the nonextensive effects on the critical exponents and found that they remain almost constant with <jats:italic>q</jats:italic>. </jats:p>

Palabras clave: Astronomy and Astrophysics; Instrumentation; Nuclear and High Energy Physics.

Pp. 073105

Exact relations for two-photon-exchange effect in elastic ep scattering by dispersion relation and hadronic model *

Hui-Yun Cao; Hai-Qing Zhou

<jats:title>Abstract</jats:title> <jats:p>The two-photon-exchange (TPE) effect plays a key role in extracting the form factors (FFs) of the proton. In this work, we discuss several exact properties of the TPE effect in the elastic <jats:inline-formula> <jats:tex-math><?CDATA $ep$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073106_M1.jpg" xlink:type="simple" /> </jats:inline-formula> scattering. By taking four low energy interactions as examples, we analyze kinematical singularities, asymptotic behaviors, and branch cuts of TPE amplitudes. The analytical expressions clearly indicate several exact relations between the dispersion relation (DR) and hadronic model (HM) methods. This suggests that the two methods must be modified to general forms, while novel forms yield the same results. After the modification, new DRs include a non-trivial term with two singularities. Furthermore, new DRs automatically include contributions due to the seagull interaction, meson-exchange effect, contact interactions, and off-shell effect. To analyze the elastic <jats:inline-formula> <jats:tex-math><?CDATA $e^{\pm}p$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_45_7_073106_M2.jpg" xlink:type="simple" /> </jats:inline-formula> scattering data sets, the new forms must be used. </jats:p>

Palabras clave: Astronomy and Astrophysics; Instrumentation; Nuclear and High Energy Physics.

Pp. 073106