分类： 心理学 >> 心理学其他学科 分类： 心理学 >> 临床与咨询心理学 提交时间： 2023-09-19
摘要：自20世纪70年代末伊始，精神分析领域的许多流派都发生了一种主体间转向。其中，布伯的对话哲学对理解精神分析的主体间互动具有重要启示，但这种探索有待深入。在结合众多现象学家的论述之后，可以将布伯区分的“我-它”关系和“我-你”关系视为两种最基本的人际关系模式。在精神分析中，“我—你”关系主要表现为：（1）互动双方能充分投入到当下的对话之中，进行全身心地回应，在非言语交流和语言交流层面完成匹配；（2）当产生冲突之时，双方能够就意见不一致的地方进行协商，甚至在关系破裂之后努力修复。这种主体间互动模式在安全型依恋和一些良好的咨访关系中可以看到。“我—它”关系更多意味着单向地操纵他人，以此满足自身的各种需求（如安全需要和自恋需要）。在极端的“我—它”关系模式中，他人只是“我”的一种延伸，在“我”的需要和预期之外的各种情感、观念和行为，往往被漠视。这种主体间互动模式在自恋者、精神变态者、癔症来访者、躁狂者和强迫者等适应不良的个体那里很常见，也广泛存在于在日常生活中。“我—它”关系的操纵过程可以通过语言、情绪和身体行动等途径来完成。此外，海德格尔描述的从“上手状态”转变为“现成在手状态”的三个阶段（触目、腻味和窘迫）可以用于理解人际操纵从成功到失败的变化，为来访者更替不良的互动模式提供转机。未来的精神分析研究可以在此基础上深入探索。
分类： 天文学 >> 天体物理学 分类： 天文学 >> 天文学 提交时间： 2023-08-31
摘要：The radiation mechanism of fast radio bursts (FRBs) has been extensively studied but still remains elusive. Coherent radiation is identified as a crucial component in the FRB mechanism, with charged bunches also playing a significant role under specific circumstances. In the present research, we propose a phenomenological model that draws upon the coherent curvature radiation framework and the magnetized neutron star, taking into account the kinetic energy losses of outflow particles due to inverse Compton scattering (ICS) induced by soft photons within the magnetosphere. By integrating the ICS deceleration mechanism for particles, we hypothesize a potential compression effect on the particle number density within a magnetic tube/family, which could facilitate achieving the necessary size for coherent radiation in the radial direction. This mechanism might potentially enable the dynamic formation of bunches capable of emitting coherent curvature radiation along the curved magnetic field. Moreover, we examine the formation of bunches from an energy perspective. Our discussion suggests that within the given parameter space the formation of bunches is feasible. Finally, we apply this model to FRB 20190520B, one of the most active repeating FRBs discovered and monitored by FAST. Several observed phenomena are explained, including basic characteristics, frequency downward drifting, and bright spots within certain dynamic spectral ranges.
分类： 核科学技术 >> 核仪器、仪表 提交时间： 2023-06-01
Shi-Xing Liu
Wei Zhang
Zi-Han Zhang
Shuang Lin
Hong-Rui Cao
Cheng-Xin Song
Jin-Long Zhao
Guo-Qiang Zhong
摘要：核安全防护通常需要同时探测中子和伽马射线，探测器的实时中子/伽马脉冲分辨是其关键性能参数。近年来，采用Cs2LiLaBr6 (CLLB)晶体的双读出探测器引起了广泛关注，论文研究电荷比较法、幅度比较法、时间比较法和脉冲梯度法的甄别性能，以及Sallen-Key滤波器的甄别效果。实验结果表明，通过合适的滤波，四种方法的品质因数(FOM)都有所提高。其中，电荷比较法抗噪声性能最佳，最适合CLLB探测器实时甄别中子/伽马脉冲。其甄别性能取决于参数、 和。在对应脉冲峰值10%的时刻，，仅需延迟640-740 ns，此刻对应3.1-3.3 MeV的电荷比较方法最优FOM大于1.46。所提出的最大分辨差模型( MDDM)计算值与最优FOM的差异小于3.9%，表明该模型可以很好地指导电荷比较法的参数选择。
分类： 物理学 >> 核物理学 提交时间： 2023-05-31
摘要：
分类： 心理学 >> 心理学其他学科 分类： 心理学 >> 临床与咨询心理学 提交时间： 2023-05-05
摘要：The body, unconsciousness, and consciousness can be considered three stages of evolutionary mind from a phylogenetic perspective, which can be further framed as three hierarchies of mind based on dynamic systems theory. These three hierarchies interact via intrapersonal information flow, working in tandem to manage an individual well. Within a dyadic system, two minds with multiple hierarchies can interact through several basic communication forms (i.e., body-to-body, body-to-unconsciousness, body-to-consciousness, unconsciousness-to-unconsciousness, unconsciousness-to-consciousness, and consciousness-to-consciousness) based on interpersonal information flow. In actual exchanges, these forms are blended and become richer due to intrapersonal information flow. In psychoanalytic therapy, analysts should focus on intrapersonal information flow to enhance patients’ self-regulation while emphasizing therapist–patient interaction to execute mutual regulation. Overall, the therapist–patient and mother–infant interaction constitutes a complex communication process.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
摘要：In this paper, we investigate the possibility of testing the weakly interacting massive particle (WIMP) dark matter (DM) models by applying the simplest phenomenological model which introduces an interaction term between dark energy (DE) and WIMP DM, i.e., $Q = 3\gamma_{DM} H\rho_{DM}$. In general, the coupling strength $\gamma_{DE}$ is close to $0$ as the interaction between DE and WIMP DM is very weak, thus the effect of $\gamma_ {DE}$ on the evolution of $Y$ associated with DM energy density can be safely neglected. Meanwhile, our numerical calculation also indicates that $x_f\approx20$ is associated with DM freeze-out temperature, which is the same as the vanishing interaction scenario. As for DM relic density, it will be magnified by $\frac{2-3\gamma_{DM}}{2}[{2\pi g_* m_{DM}^3}/{(45 s_0 x_f^3})]^{\gamma_{DM}}$ times, which provides a new way to test WIMP DM models. As an example, we analyze the case in which WIMP DM is a scalar DM. (SGL+SNe+Hz) and (CMB+BAO+SNe) cosmological observations will give $\gamma_{DM}=0.134^{+0.17}_{-0.069}$ and $\gamma_{DM}=-0.0008\pm0.0016$, respectively. After further considering the constraints from DM direct detection experiment, DM indirect detection experiment, and DM relic density, we find that the allowed parameter space of the scalar DM model will be completely excluded for the former cosmological observations, while it will increase for the latter ones. Those two cosmological observations lead to an almost paradoxical conclusion. Therefore, one could expect more stringent constraints on the WMIP DM models, with the accumulation of more accurate cosmological observations in the near future.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
摘要：We present a sample of 135,873 RR Lyrae stars (RRLs) with precise photometric-metallicity and distance estimates from our newly calibrated $P-\phi_{31}-R_{21}-$[Fe/H]/$P-R_{21}-$[Fe/H] and $G$ band absolute magnitude-metallicity relations. The $P-\phi_{31}-R_{21}-$[Fe/H] and $P-R_{21}-$[Fe/H] relations for type RRab and type RRc stars are obtained from nearly 2700 Gaia-identified RRLs with precise $\phi_{31}$ and $R_{21}$ measurements from the light curves and metallicity estimates from spectroscopy. Using 236 nearby RRLs with accurate distances estimated from parallax measurements with Gaia EDR3, new $G$ band absolute magnitude-metallicity relations and near-infrared period-absolute magnitude-metallicity relations are constructed. External checks, using other high-resolution spectroscopic sample of field RRLs and RRL members of globular clusters (GCs), show that the typical uncertainties in our photometric-metallicity estimates are about 0.24 and 0.16 dex for type RRab/c stars, respectively, without significant systematic bias with respect to high-resolution spectroscopic metallicity measurements. The accuracies of these metallicity estimates are much improved, especially for RRab stars, when compared to those provided by the Gaia DR3 release. Validations of our distance estimates, again by using members of GCs, show that the typical distance errors are only 3-4%. The distance modulus $\mu_0=18.503\pm0.001(stat)\pm0.040(syst)$ mag for the LMC and $\mu_0=19.030\pm0.003(stat)\pm0.043(syst)$ mag for the SMC are estimated from our RRab sample, respectively, and are in excellent agreement with previous measurements. The mean metallicities of the LMC and SMC derived in this work are also consistent with the previous determinations. Using our sample, a steep metallicity gradient of $-0.024\pm0.001$ dex/kpc is found for the LMC, while a negligible metallicity gradient is obtained for the SMC.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
摘要：We present a sample of 135,873 RR Lyrae stars (RRLs) with precise photometric-metallicity and distance estimates from our newly calibrated $P-\phi_{31}-R_{21}-$[Fe/H]/$P-R_{21}-$[Fe/H] and $G$ band absolute magnitude-metallicity relations. The $P-\phi_{31}-R_{21}-$[Fe/H] and $P-R_{21}-$[Fe/H] relations for type RRab and type RRc stars are obtained from nearly 2700 Gaia-identified RRLs with precise $\phi_{31}$ and $R_{21}$ measurements from the light curves and metallicity estimates from spectroscopy. Using 236 nearby RRLs with accurate distances estimated from parallax measurements with Gaia EDR3, new $G$ band absolute magnitude-metallicity relations and near-infrared period-absolute magnitude-metallicity relations are constructed. External checks, using other high-resolution spectroscopic sample of field RRLs and RRL members of globular clusters (GCs), show that the typical uncertainties in our photometric-metallicity estimates are about 0.24 and 0.16 dex for type RRab/c stars, respectively, without significant systematic bias with respect to high-resolution spectroscopic metallicity measurements. The accuracies of these metallicity estimates are much improved, especially for RRab stars, when compared to those provided by the Gaia DR3 release. Validations of our distance estimates, again by using members of GCs, show that the typical distance errors are only 3-4%. The distance modulus $\mu_0=18.503\pm0.001(stat)\pm0.040(syst)$ mag for the LMC and $\mu_0=19.030\pm0.003(stat)\pm0.043(syst)$ mag for the SMC are estimated from our RRab sample, respectively, and are in excellent agreement with previous measurements. The mean metallicities of the LMC and SMC derived in this work are also consistent with the previous determinations. Using our sample, a steep metallicity gradient of $-0.024\pm0.001$ dex/kpc is found for the LMC, while a negligible metallicity gradient is obtained for the SMC.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
摘要：We assemble a large sample of 13,863 high-velocity stars (HiVels) with total velocity ${V}_{\rm{GSR}} \ge {\rm300} \rm{km\,s^{-1}}$, selected from the RAVE DR5, SDSS DR12, LAMOST DR8, APOGEE DR16, GALAH DR2, and $Gaia$ EDR3. In this HiVel sample, 43 sources are hypervelocity stars (HVSs) that have ${V}_{\rm{GSR}}$ exceeding their local escape velocities, $V_{\rm esc}$, 32 of which are discovered for the first time. Interestingly, all the HVSs are metal-poor and late-type, significantly different from the previous HVSs in the literature, which are largely massive, metal-rich early-type stars, identified originally by extreme radial velocity alone. This finding suggests that our newly found HVSs are ejected by different mechanisms from the previous population. To investigate their origins, for the 571 extreme HiVel stars with ${V}_{\rm{GSR}}\ge0.8V_{\rm{esc}}$ in our sample, we reconstruct their backward-integrated trajectories in the Galactic potential. According to the orbital analysis, no HVSs are found to be definitely ejected from the Galactic center (GC), while 8 late-type metal-poor HiVels are found to have a closest distance to the GC within 1 kpc. Intriguingly, 15 HiVels (including 2 HVSs) are found from their backward-integrated trajectories to have experienced a close encounter with the Sagittarius dwarf spheroidal galaxy (Sgr dSph), suggesting that they originated from this dSph. This hypothesis is supported by an analysis of the [$\alpha$/Fe]--[Fe/H] diagram. From a preliminary analysis of all the HiVels in our sample, we propose a general picture: Star ejection from Galactic subsystems such as dwarf galaxies and globular clusters, either via tidal stripping or even the Hills mechanism, can be an important channel to produce HiVels/HVSs, particularly the metal-poor late-type halo population.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
摘要：Ba-enhanced stars are interesting probes of stellar astrophysics and Galactic formation history. In this work, we investigate the chemistry and kinematics for a large sample of Ba-enhanced ([Ba/Fe]$>$1.0) dwarf and subgiant stars with $5000 < T_{\rm eff }< 6700$\,K from LAMOST. We find that both stellar internal evolution process and external mass exchange due to binary evolution are responsible for the origins of the Ba-enhancement of our sample stars. About one third of them exhibit C and N enhancement and ultraviolet brightness excess, indicating they are products of binary evolution. The remaining Ba-enhanced stars with normal C and N abundances are mostly warm stars with $T_{\rm eff} > 6000$\,K. They are likely consequences of stellar internal elemental transport processes, but they show very different elemental patterns to the hotter Am/Fm stars. Our results reveal a substantially lack of high-[$\alpha$/Fe] Ba-enhanced stars in the [Fe/H]--[$\alpha$/Fe] plane, which we dub as a {\em high-$\alpha$ desert}. We suggest it is due to a lower efficiency for producing Ba-enhanced stars by low-mass AGB progenitors in binary systems. Our results call for detailed modellings for these Ba-enhanced stellar peculiars, in the context of both stellar internal elemental transport and external mass accretion.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
摘要：As hosts of living high-mass stars, Wolf-Rayet (WR) regions or WR galaxies are ideal objects for constraining the high-mass end of the stellar initial mass function (IMF). We construct a large sample of 910 WR galaxies/regions that cover a wide range of stellar metallicity (from Z~0.001 up to Z~0.03), by combining three catalogs of WR galaxies/regions previously selected from the SDSS and SDSS-IV/MaNGA surveys. We measure the equivalent widths of the WR blue bump at ~4650 A for each spectrum. They are compared with predictions from stellar evolutionary models Starburst99 and BPASS, with different IMF assumptions (high-mass slope {\alpha} of the IMF ranging from 1.0 up to 3.3). Both singular evolution and binary evolution are considered. We also use a Bayesian inference code to perform full spectral fitting to WR spectra with stellar population spectra from BPASS as fitting templates. We then make model selection among different {\alpha} assumptions based on Bayesian evidence. These analyses have consistently led to a positive correlation of IMF high-mass slope {\alpha} with stellar metallicity Z, i.e. with steeper IMF (more bottom-heavy) at higher metallicities. Specifically, an IMF with {\alpha}=1.00 is preferred at the lowest metallicity (Z~0.001), and a Salpeter or even steeper IMF is preferred at the highest metallicity (Z~0.03). These conclusions hold even when binary population models are adopted.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
摘要：Ba-enhanced stars are interesting probes of stellar astrophysics and Galactic formation history. In this work, we investigate the chemistry and kinematics for a large sample of Ba-enhanced ([Ba/Fe]$>$1.0) dwarf and subgiant stars with $5000 < T_{\rm eff }< 6700$\,K from LAMOST. We find that both stellar internal evolution process and external mass exchange due to binary evolution are responsible for the origins of the Ba-enhancement of our sample stars. About one third of them exhibit C and N enhancement and ultraviolet brightness excess, indicating they are products of binary evolution. The remaining Ba-enhanced stars with normal C and N abundances are mostly warm stars with $T_{\rm eff} > 6000$\,K. They are likely consequences of stellar internal elemental transport processes, but they show very different elemental patterns to the hotter Am/Fm stars. Our results reveal a substantially lack of high-[$\alpha$/Fe] Ba-enhanced stars in the [Fe/H]--[$\alpha$/Fe] plane, which we dub as a {\em high-$\alpha$ desert}. We suggest it is due to a lower efficiency for producing Ba-enhanced stars by low-mass AGB progenitors in binary systems. Our results call for detailed modellings for these Ba-enhanced stellar peculiars, in the context of both stellar internal elemental transport and external mass accretion.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
摘要：To understand the parameter degeneracy of M subdwarf spectra at low resolution, we assemble a large number of spectral features in the wavelength range of 0.6-2.5 {\mu}m with band strength quantified by narrowband indices. Based on the index trends of BT-Settl model sequences, we illustrate how the main atmospheric parameters (Teff, log g, [M/H], and [alpha/Fe]) affect each spectral feature differently. Furthermore, we propose a four-step process to determine the four parameters sequentially, which extends the basic idea proposed by Jao et al. Each step contains several spectral features that break the degeneracy effect when determining a specific stellar parameter. Finally, the feasibility of each spectroscopic diagnostic with different spectral qualities is investigated. The result is resolution-independent down to R~200.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
摘要：To understand the parameter degeneracy of M subdwarf spectra at low resolution, we assemble a large number of spectral features in the wavelength range of 0.6-2.5 {\mu}m with band strength quantified by narrowband indices. Based on the index trends of BT-Settl model sequences, we illustrate how the main atmospheric parameters (Teff, log g, [M/H], and [alpha/Fe]) affect each spectral feature differently. Furthermore, we propose a four-step process to determine the four parameters sequentially, which extends the basic idea proposed by Jao et al. Each step contains several spectral features that break the degeneracy effect when determining a specific stellar parameter. Finally, the feasibility of each spectroscopic diagnostic with different spectral qualities is investigated. The result is resolution-independent down to R~200.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
摘要：Building a large sample of kiloparsec (kpc)-scale dual active galactic nuclei (AGNs) amongst merging galaxies is of vital importance to understand the co-evolution between host galaxies and their central super massive black holes (SMBHs). Doing so, with just such a sample, we have developed an innovative method of systematically searching and identifying dual AGNs of amongst kpc scale merging galaxies and selected 222 candidates at redshifts $\leqslant$ 0.25. All the selected candidates have FIRST radio detection and at least one of two cores previously revealed as AGN spectroscopically. We report the first results from A SysTematic seaRch fOr Dual Agns in meRgINg Galaxies (ASTRO-DARING), which consist of spatially resolved long-slit spectroscopic observations of 41 targets selected from our merging galaxies sample carried out between November 2014 and February 2017, using the Yunnan Faint Object Spectrograph and Camera (YFOSC) mounted on the 2.4 meter telescope in Lijiang of Yunnan Observatories. Of these 16 are likely dual AGNs and 15 are newly identified. The efficiency of ASTRO-DARING is thus nearly 40 per cent. With this method, we plan to build the first even sample of more than 50 dual AGNs constructed using a consistent approach. Further analysis of the dual AGN sample shall provide vital clues for understanding the co-evolution of galaxies and SMBHs.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
摘要：As the third installment in a series systematically searching dual active galactic nuclei (AGN) amongst merging galaxies, we present the results of 20 dual AGNs found by using the SDSS fiber spectra. To reduce the flux contamination from both the fiber aperture and seeing effects, the angular separation of two cores in our merging galaxy pairs sample is restricted at least larger than 3 arcsec. By careful analysis of the emission lines, 20 dual AGNs are identified from 61 merging galaxies with their two cores both observed by the SDSS spectroscopic surveys. 15 of them are identified for the first time. The identification efficiency is about 32.79$\%$ (20/61), comparable to our former results (16 dual AGNs identified from 41 merging galaxies) based on the long-slit spectroscopy. Interestingly, two of the 20 dual AGNs show two prominent cores in radio images and their radio powers show they as the radio-excess AGNs. So far, 31 dual AGNs are found by our project and this is the current largest dual AGN sample, ever constructed with a consistent approach. This sample, together with more candidates from ongoing observations, is of vital importance to study the AGN physics and the coevolution between the supermassive black holes and their host galaxies.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
Chao-Jian Wu
Hong Wu
Wei Zhang
Yao Li
Juan-Juan Ren
Jian-Jun Chen
Chih-Hao Hsia
Yu-Zhong Wu
Hui Zhu
Bin Li
Yong-Hui Hou
摘要：The Large sky Area Multi-Object Fiber Spectroscopic Telescope (LAMOST) medium-resolution spectral survey of Galactic Nebulae (MRS-N) has conducted for three years since Sep. 2018 and observed more than 190 thousands nebular spectra and 20 thousands stellar spectra. However, there is not yet a data processing pipeline for nebular data. To significantly improve the accuracy of nebulae classification and their physical parameters, we developed the MRS-N Pipeline. This article presented in detail each data processing step of the MRS-N Pipeline, such as removing cosmic rays, merging single exposure, fitting sky light emission lines, subtracting skylight, wavelength recalibration, measuring nebular parameters, creating catalogs and packing spectra. Finally, a description of the data products, including nebular spectra files and parameter catalogs, is provided.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
Wei Zhang
Hong Wu
Chaojian Wu
Juanjuan Ren
Jianjun Chen
Chih-Hao Hsia
Yuzhong Wu
Hui Zhu
Jianrong Shi
Zhongrui Bai
Zhaoxiang Qi
Yongheng Zhao
Yonghui Hou
摘要：We introduce a method of subtracting geocoronal Halpha emissions from the spectra of LAMOST medium-resolution spectral survey of Galactic nebulae (LAMOST-MRS-N). The flux ratios of the Halpha sky line to the adjacent OH lambda6554 single line do not show a pattern or gradient distribution in a plate. More interestingly, the ratio is well correlated to solar altitude, which is the angle of the sun relative to the Earth's horizon. It is found that the ratio decreases from 0.8 to 0.2 with the decreasing solar altitude from -17 to -73 degree. Based on this relation, which is described by a linear function, we can construct the Halpha sky component and subtract it from the science spectrum. This method has been applied to the LAMOST-MRS-N data, and the contamination level of the Halpha sky to nebula is reduced from 40% to less than 10%. The new generated spectra will significantly improve the accuracy of the classifications and the measurements of physical parameters of Galactic nebulae.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
Meng Zhang
Mao-Sheng Xiang
Hua-Wei Zhang
Yuan-Sen Ting
Hans-Walter Rix
Ya-qian Wu
Yang Huang
Wei-Xiang Sun
Zhi-Jia Tian
Chun Wang
Xiao-Wei Liu
摘要：Recent observations have revealed a population of $\alpha$-element abundances enhanced giant stars with unexpected high masses ($\gtrsim$1 $M_\odot$) from asteroseismic analysis and spectroscopy. Assuming single-star evolution, their masses imply young ages ($\tau<6$Gyr) incompatible with the canonical Galactic chemical evolution scenario. Here we study the chemistry and kinematics of a large sample of such $\alpha$-rich, high-mass red giant branch (RGB) stars drawn from the LAMOST spectroscopic surveys. Using LAMOST and Gaia, we found these stars share the same kinematics as the canonical high-$\alpha$ old stellar population in the Galactic thick disk. The stellar abundances show that these high-$\alpha$ massive stars have $\alpha$- and iron-peak element abundances similar to those of the high-$\alpha$ old thick disk stars. However, a portion of them exhibit higher [(N+C)/Fe] and [Ba/Fe] ratios, which implies they have gained C- and Ba-rich materials from extra sources, presumably asymptotic giant branch (AGB) companions. The results support the previous suggestion that these RGB stars are products of binary evolution. Their high masses thus mimic "young" single stars, yet in fact they belong to an intrinsic old stellar population. To fully explain the stellar abundance patterns of our sample stars, a variety of binary evolution channels, such as, main-sequence (MS) + RGB, MS + AGB, RGB + RGB and RGB + AGB, are required, pointing to diverse formation mechanisms of these seemly rejuvenated cannibals. With this larger sample, our results confirm earlier findings that most, if not all, $\alpha$-rich stars in the Galactic disk seem to be old.
分类： 天文学 >> 天文学 提交时间： 2023-02-19
Cheng-Min Zhang
Xiang-Han Cui
Di Li
De-Hua Wang
Shuang-Qiang Wang
Na Wang
Jian-Wei Zhang
Bo Peng
Wei-Wei Zhu
Yi-Yan Yang
Yuan-Yue Pan
摘要：The evolutions of a neutron star's rotation and magnetic field (B-field) have remained unsolved puzzles for over half a century. We ascribe the rotational braking torques of pulsar to both components, the standard magnetic dipole radiation (MDR) and particle wind flow ( MDR + Wind, hereafter named MDRW), which we apply to the Crab pulsar (B0531 + 21), the only source with a known age and long-term continuous monitoring by radio telescope. Based on the above presumed simple spin-down torques, we obtain the exact analytic solution on the rotation evolution of the Crab pulsar, together with the related outcomes as described below: (1) unlike the constant characteristic B-field suggested by the MDR model, this value for the Crab pulsar increases by a hundred times in 50~kyr while its real B-field has no change; (2) the rotational braking index evolves from $\sim$3 to 1 in the long-term, however, it drops from 2.51 to 2.50 in $\sim$45 years at the present stage, while the particle flow contributes approximately 25% of the total rotational energy loss rate; (3) strikingly, the characteristic age has the maximum limit of $\sim$10 kyr, meaning that it is not always a good indicator of real age. Furthermore, we discussed the evolutionary path of the Crab pulsar from the MDR to the wind domination by comparing it with the possible wind braking candidate pulsar PSR J1734-3333.
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