Formula for Proton–Nucleus Reaction Cross Section at Intermediate Energies and Its Application

Iida, Kei; Kohama, Akihisa; Oyamatsu, Kazuhiro

doi:10.1143/jpsj.76.044201

Cited by 63 publications

(59 citation statements)

References 35 publications

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“…2 of ref. 21) Since, for stable nuclei, the accuracy of σ R ≃ σ BS of proton-nucleus (A ≥ 3) and nucleus-nucleus reactions (A P , A T 50), where A P(T ) is the mass number of a projectile (target), has been confirmed within a few %, 14,15) the indication by Alkhazov et al 24,25) that the results of our BS model are not accurate enough particularly for light nuclei is not appropriate in the context of σ R .…”

Section: Black-sphere (Bs) Approximationmentioning

confidence: 97%

“…(3.1) to hold is slightly different for the case of nucleus-nucleus reactions. As we have already shown in refs., 15,17) the BS approximation can be extended to nucleus-nucleus reactions by using π(a P + a T ) 2 , where a P (a T ) is the BS radius of a projectile (target). Interestingly, the empirical values of the total reaction cross section σ R (A + A) agree well with π(a P + a T ) 2 for incident energies per nucleon down to 100 MeV, not only in the presence of the first diffraction peaks of proton elastic scattering that lead to a P and a T , but also in their absence in which case a P and a T are evaluated from Eq.…”

Section: Down To T P ≃ 50 Mevmentioning

confidence: 99%

“…15) We deduce the dependence of σ R on T p from a simple argument involving the nuclear "optical" depth for absorption of projectiles. We call the formula the BS cross-section formula .…”

Section: Introductionmentioning

confidence: 98%

“…In Sec. 4, we briefly review the BS cross-section formula, which was developed in ref., 15) and analytically examine its A dependence. Detailed derivation of the formula can be found in Sec.…”

Section: Introductionmentioning

confidence: 99%

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Energy and Mass-Number Dependence of Hadron–Nucleus Total Reaction Cross Sections

2016

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We thoroughly investigate how proton-nucleus total reaction cross sections depend on the target mass number A and the proton incident energy. In doing so, we systematically analyze nuclear reaction data that are sensitive to nuclear size, namely, proton-nucleus total reaction cross sections and differential elastic cross sections, using a phenomenological black-sphere approximation of nuclei that we are developing. In this framework, the radius of the black sphere is found to be a useful length scale that simultaneously accounts for the observed proton-nucleus total reaction cross section and first diffraction peak in the proton elastic differential cross section. This framework, which is shown here to be applicable to antiprotons, is expected to be applicable to any kind of projectile that is strongly attenuated in the nucleus. On the basis of a cross-section formula constructed within this framework, we find that a less familiar A 1/6 dependence plays a crucial role in describing the energy dependence of proton-nucleus total reaction cross sections.

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Section: Black-sphere (Bs) Approximationmentioning

confidence: 97%

Section: Down To T P ≃ 50 Mevmentioning

confidence: 99%

“…15) We deduce the dependence of σ R on T p from a simple argument involving the nuclear "optical" depth for absorption of projectiles. We call the formula the BS cross-section formula .…”

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Energy and Mass-Number Dependence of Hadron–Nucleus Total Reaction Cross Sections

2016

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“…In the present work, the KUROTAMA model [19] was chosen for calculation of the total reaction cross section. INCL4.6 and the generalized evaporation model (GEM) [20] were employed in simulating the dynamical process including deuteron breakup reaction and the subsequent evaporation process, respectively.…”

Section: Comparison With Phits Calculationsmentioning

confidence: 99%

Neutron production in deuteron-induced reactions on Li, Be, and C at an incident energy of 102 MeV

et al. 2017

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Abstract. Double-differential cross sections (DDXs) of deuteron-induced neutron production reactions on Li, Be, and C at 102 MeV were measured at forward angles (≤ 25 • ) by means of a time of flight method with NE213 liquid organic scintillators at the Research Center of Nuclear Physics, Osaka University. The experimental results were compared with model calculations with PHITS and DEURACS. The DEURACS calculation reproduces the experimental DDXs for C at very forward angles than the PHITS one. Moreover, the incident energy dependence of the Li(d,xn) reaction was investigated by adding the DDX data measured previously at 25 and 40 MeV.

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Feasibility study of optical imaging of the boron‐dose distribution by a liquid scintillator in a clinical boron neutron capture therapy field

Maeda,

Nohtomi,

et al. 2023

Medical Physics

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BackgroundEvaluation of the boron dose is essential for boron neutron capture therapy (BNCT). Nevertheless, a direct evaluation method for the boron‐dose distribution has not yet been established in the clinical BNCT field. To date, even in quality assurance (QA) measurements, the boron dose has been indirectly evaluated from the thermal neutron flux measured using the activation method with gold foil or wire and an assumed boron concentration in the QA procedure. Recently, we successfully conducted optical imaging of the boron‐dose distribution using a cooled charge‐coupled device (CCD) camera and a boron‐added liquid scintillator at the E‐3 port facility of the Kyoto University Research Reactor (KUR), which supplies an almost pure thermal neutron beam with very low gamma‐ray contamination. However, in a clinical accelerator‐based BNCT facility, there is a concern that the boron‐dose distribution may not be accurately extracted because the unwanted luminescence intensity, which is irrelevant to the boron dose is expected to increase owing to the contamination of fast neutrons and gamma rays.PurposeThe purpose of this research was to study the validity of a newly proposed method using a boron‐added liquid scintillator and a cooled CCD camera to directly observe the boron‐dose distribution in a clinical accelerator‐based BNCT field.MethodA liquid scintillator phantom with 10B was prepared by filling a small quartz glass container with a commercial liquid scintillator and boron‐containing material (trimethyl borate); its natural boron concentration was 1 wt%. Luminescence images of the boron‐neutron capture reaction were obtained in a water tank at several different depths using a CCD camera. The contribution of background luminescence, mainly due to gamma rays, was removed by subtracting the luminescence images obtained using another sole liquid scintillator phantom (natural boron concentration of 0 wt%) at each corresponding depth, and a depth profile of the boron dose with several discrete points was obtained. The obtained depth profile was compared with that of calculated boron dose, and those of thermal neutron flux which were experimentally measured or calculated using a Monte Carlo code.ResultsThe depth profile evaluated from the subtracted images indicated reasonable agreement with the calculated boron‐dose profile and thermal neutron flux profiles, except for the shallow region. This discrepancy is thought to be due to the contribution of light reflected from the tank wall. The simulation results also demonstrated that the thermal neutron flux would be severely perturbed by the 10B‐containing phantom if a relatively larger container was used to evaluate a wide range of boron‐dose distributions in a single shot. This indicates a trade‐off between the luminescence intensity of the 10B‐added phantom and its perturbation effect on the thermal neutron flux.ConclusionsAlthough a partial discrepancy was observed, the validity of the newly proposed boron‐dose evaluation method using liquid‐scintillator phantoms with and without 10B was experimentally confirmed in the neutron field of an accelerator‐based clinical BNCT facility. However, this study has some limitations, including the trade‐off problem stated above. Therefore, further studies are required to address these limitations.

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Formula for Proton–Nucleus Reaction Cross Section at Intermediate Energies and Its Application

Cited by 63 publications

References 35 publications

Energy and Mass-Number Dependence of Hadron–Nucleus Total Reaction Cross Sections

Energy and Mass-Number Dependence of Hadron–Nucleus Total Reaction Cross Sections

Neutron production in deuteron-induced reactions on Li, Be, and C at an incident energy of 102 MeV

Feasibility study of optical imaging of the boron‐dose distribution by a liquid scintillator in a clinical boron neutron capture therapy field

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